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1 | (13) |
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1 | (1) |
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Analysis of Dynamic Systems |
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1 | (3) |
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2 | (2) |
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4 | (1) |
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Classification of Variables |
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4 | (1) |
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Classification of Systems |
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5 | (6) |
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6 | (1) |
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Continuity of the Time Variable |
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7 | (1) |
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Quantization of the Dependent Variable |
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8 | (1) |
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9 | (1) |
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9 | (1) |
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10 | (1) |
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11 | (1) |
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12 | (2) |
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Translational Mechanical Systems |
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14 | (34) |
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14 | (2) |
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16 | (4) |
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16 | (1) |
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17 | (2) |
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19 | (1) |
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20 | (3) |
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20 | (1) |
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The Law of Reaction Forces |
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21 | (1) |
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The Law for Displacements |
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21 | (2) |
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Obtaining the System Model |
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23 | (25) |
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23 | (4) |
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27 | (4) |
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31 | (2) |
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33 | (3) |
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36 | (2) |
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38 | (1) |
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39 | (9) |
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Standard Forms for System Models |
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48 | (25) |
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48 | (12) |
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60 | (3) |
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Reduction of Simultaneous Differential Equations |
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62 | (1) |
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Comparison with the State-Variable Method |
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63 | (1) |
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Matrix Formulation of State-Variable Equations |
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63 | (10) |
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69 | (1) |
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69 | (4) |
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Block Diagrams And Computer Simulation |
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73 | (22) |
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73 | (2) |
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74 | (1) |
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74 | (1) |
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74 | (1) |
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75 | (1) |
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Combining Blocks to Solve Modeling Equations |
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75 | (5) |
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Diagrams for Input-Output Equations |
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75 | (2) |
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Diagrams for the Original Modeling Equations |
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77 | (1) |
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Diagrams for State-Variable Models |
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78 | (1) |
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Structure of Block Diagrams |
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79 | (1) |
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Running Simulink with MATLAB |
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80 | (10) |
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80 | (2) |
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82 | (1) |
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82 | (4) |
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86 | (4) |
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90 | (5) |
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90 | (1) |
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90 | (2) |
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92 | (1) |
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92 | (3) |
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Rotational Mechnical Systems |
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95 | (43) |
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95 | (1) |
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96 | (6) |
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96 | (1) |
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97 | (1) |
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98 | (2) |
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100 | (1) |
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100 | (2) |
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102 | (2) |
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103 | (1) |
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The Law of Reaction Torques |
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103 | (1) |
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The Law for Angular Displacements |
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103 | (1) |
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Obtaining the System Model |
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104 | (20) |
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124 | (14) |
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125 | (1) |
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126 | (12) |
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138 | (49) |
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138 | (2) |
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140 | (4) |
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140 | (1) |
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141 | (1) |
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142 | (1) |
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142 | (1) |
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143 | (1) |
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144 | (4) |
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144 | (1) |
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144 | (4) |
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Obtaining the Input-Output Model |
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148 | (6) |
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154 | (5) |
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155 | (1) |
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156 | (2) |
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The Steady-State Response |
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158 | (1) |
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Obtaining the State-Variable Model |
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159 | (7) |
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166 | (7) |
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173 | (14) |
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177 | (1) |
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177 | (10) |
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Transform Solutions of Linear Models |
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187 | (55) |
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187 | (2) |
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187 | (1) |
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Solution of the Input-Output Differential Equation |
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188 | (1) |
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Laplace Transform Solutions |
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188 | (1) |
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189 | (3) |
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189 | (1) |
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190 | (1) |
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191 | (1) |
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191 | (1) |
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192 | (1) |
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192 | (5) |
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Multiplication by a Constant |
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193 | (1) |
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193 | (1) |
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Multiplication of Functions |
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193 | (1) |
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Multiplication by an Exponential |
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194 | (1) |
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194 | (1) |
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195 | (1) |
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196 | (1) |
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197 | (10) |
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199 | (1) |
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General First-Order Model |
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199 | (1) |
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200 | (3) |
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203 | (4) |
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The Step Function and Impulse |
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207 | (13) |
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207 | (3) |
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210 | (4) |
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The Transform of the Unit Impulse |
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216 | (4) |
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220 | (9) |
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221 | (1) |
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222 | (2) |
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224 | (4) |
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Preliminary Step of Long Division |
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228 | (1) |
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Additional Transform Properties |
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229 | (13) |
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229 | (3) |
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Inversion of Some Irrational Transforms |
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232 | (1) |
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Initial-Value and Final-Value Theorems |
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233 | (3) |
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236 | (6) |
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Transform Function Analysis |
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242 | (57) |
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242 | (10) |
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249 | (3) |
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252 | (12) |
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253 | (1) |
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253 | (3) |
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A Property of Stable Systems |
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256 | (2) |
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Damping Ratio and Undamped Natural Frequency |
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258 | (5) |
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263 | (1) |
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264 | (10) |
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265 | (1) |
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265 | (2) |
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Transient and Steady-State Components |
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267 | (2) |
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269 | (2) |
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271 | (2) |
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Differentiating the Input |
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273 | (1) |
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274 | (6) |
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Properties of the Transfer Function |
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280 | (3) |
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283 | (16) |
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287 | (1) |
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288 | (11) |
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Developing a Linear Model |
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299 | (37) |
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Linearization of an Element Law |
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299 | (6) |
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300 | (2) |
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Series-Expansion Approach |
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302 | (3) |
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Linerarization of the Model |
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305 | (11) |
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Circuits with Nonlinear Resistors |
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311 | (5) |
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316 | (6) |
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322 | (14) |
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325 | (1) |
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326 | (10) |
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Electromechanical Systems |
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336 | (33) |
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336 | (3) |
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338 | (1) |
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Coupling by a Magnetic Field |
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339 | (3) |
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Devices Coupled by Magnetic Fields |
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342 | (11) |
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342 | (3) |
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345 | (2) |
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347 | (6) |
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A Device for Measuring Acceleration |
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353 | (4) |
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353 | (1) |
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354 | (1) |
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355 | (1) |
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356 | (1) |
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357 | (12) |
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360 | (1) |
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361 | (8) |
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369 | (27) |
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369 | (1) |
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370 | (3) |
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370 | (1) |
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371 | (2) |
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373 | (1) |
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Dynamic Models of Thermal Systems |
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373 | (14) |
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387 | (9) |
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384 | (1) |
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385 | (1) |
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386 | (3) |
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389 | (1) |
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390 | (6) |
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396 | (21) |
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396 | (1) |
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397 | (7) |
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397 | (2) |
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399 | (4) |
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403 | (1) |
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Dynamic Models of Hydraulic Systems |
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404 | (13) |
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410 | (1) |
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411 | (6) |
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Block Diagrams for Dynamic Systems |
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417 | (38) |
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Rules for Altering Diagram Structure |
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417 | (6) |
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418 | (1) |
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418 | (2) |
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420 | (1) |
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Moving a Simming Junction |
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421 | (2) |
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Reducing Diagrams for Feedback Systems |
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423 | (8) |
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Diagrams for Input-Output Models |
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431 | (9) |
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432 | (5) |
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437 | (3) |
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Application to a Control System |
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440 | (15) |
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441 | (2) |
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443 | (1) |
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Closed-Loop Transfer Function |
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444 | (1) |
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Design for Specified Damping Ratio |
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445 | (1) |
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Proportional-Plus-Derivative Feedback |
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445 | (3) |
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448 | (1) |
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448 | (7) |
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Modeling, Analysis, and Design Tools |
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455 | (43) |
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455 | (11) |
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456 | (1) |
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456 | (1) |
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457 | (1) |
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Extracting Data and Changing Forms |
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458 | (3) |
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461 | (3) |
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464 | (2) |
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466 | (4) |
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Step and Impulse Responses |
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466 | (1) |
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Responses to Arbitrary Inputs and Initial Conditions |
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467 | (3) |
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Frequency-Domain Analysis |
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470 | (9) |
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Using MATLAB to Construct Bode Diagrams |
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475 | (2) |
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Using MATLAB to Construct Linear Plots |
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477 | (2) |
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Models for Feedback Systems |
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479 | (2) |
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Constructing MATLAB Models |
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479 | (2) |
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481 | (1) |
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481 | (8) |
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Using MATLAB to Construct the Locus |
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486 | (2) |
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Other Applications of the Root Locus |
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488 | (1) |
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489 | (9) |
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492 | (1) |
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492 | (6) |
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Feedback Design With Matlab |
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498 | (35) |
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498 | (13) |
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500 | (4) |
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Proportional-Plus-Derivative Control |
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504 | (2) |
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Proportional-Plus-Integral Control |
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506 | (2) |
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508 | (2) |
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510 | (1) |
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511 | (22) |
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525 | (1) |
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526 | (7) |
APPENDIX A UNITS |
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533 | (2) |
APPENDIX B MATRICES |
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535 | (2) |
APPENDIX C COMPLEX ALGEBRA |
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537 | (5) |
APPENDIX D CLASSICAL SOLUTION OF DIFFERENTIAL EQUATIONS |
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542 | (5) |
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D.1 Homogeneous Differential Equations |
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542 | (2) |
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D.2 Nonhomogeneous Differential Equations |
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544 | (3) |
APPENDIX E LAPLACE TRANSFORMS |
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547 | (3) |
APPENDIX F SELECTED READING |
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550 | (3) |
APPENDIX G ANSWERS TO SELECTED PROBLEMS |
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553 | (18) |
Index |
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571 | |