Frequently used notation |
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1 | (18) |
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The concept of an uncertain system |
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1 | (4) |
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5 | (14) |
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19 | (36) |
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19 | (1) |
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Uncertain systems with norm-bounded uncertainty |
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20 | (2) |
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Special case: sector-bounded nonlinearities |
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20 | (2) |
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Uncertain systems with integral quadratic constraints |
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22 | (8) |
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Integral quadratic constraints |
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22 | (3) |
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Integral quadratic constraints with weighting coefficients |
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25 | (1) |
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Integral uncertainty constraints for nonlinear uncertain systems |
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26 | (1) |
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Averaged integral uncertainty constraints |
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27 | (3) |
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Stochastic uncertain systems |
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30 | (25) |
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Stochastic uncertain systems with multiplicative noise |
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31 | (5) |
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Stochastic uncertain systems with additive noise: Finite-horizon relative entropy constraints |
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36 | (8) |
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Stochastic uncertain systems with additive noise: Infinite-horizon relative entropy constraints |
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44 | (11) |
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H∞ control and related preliminary results |
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55 | (48) |
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55 | (6) |
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61 | (20) |
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The standard H∞ control problem |
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63 | (11) |
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H∞ control with transients |
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74 | (5) |
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H∞ control of time-varying systems |
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79 | (2) |
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81 | (13) |
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Exponential-of-integral cost analysis |
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82 | (3) |
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Finite-horizon risk-sensitive control |
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85 | (4) |
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Infinite-horizon risk-sensitive control |
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89 | (5) |
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94 | (1) |
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A connection between H∞ control and the absolute stabilizability of uncertain systems |
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95 | (8) |
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96 | (2) |
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The equivalence between absolute stabilization and H∞ control |
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98 | (5) |
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103 | (22) |
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103 | (2) |
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An S-procedure result for a quadratic functional and one quadratic constraint |
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105 | (5) |
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106 | (4) |
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An S-procedure result for a quadratic functional and k quadratic constraints |
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110 | (4) |
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An S-procedure result for nonlinear functionals |
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114 | (7) |
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An S-procedure result for averaged sequences |
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121 | (1) |
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An S-procedure result for probability measures with constrained relative entropies |
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121 | (4) |
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Guaranteed cost control of time-invariant uncertain systems |
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125 | (56) |
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125 | (2) |
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Optimal guaranteed cost control for uncertain linear systems with norm-bounded uncertainty |
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127 | (10) |
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Quadratic guaranteed cost control |
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127 | (2) |
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Optimal controller design |
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129 | (6) |
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135 | (2) |
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State-feedback minimax optimal control of uncertain systems with structured uncertainty |
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137 | (18) |
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138 | (3) |
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Construction of a guaranteed cost controller |
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141 | (10) |
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151 | (4) |
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Output-feedback minimax optimal control of uncertain systems with unstructured uncertainty |
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155 | (13) |
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155 | (2) |
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A necessary and sufficient condition for guaranteed cost stabilizability |
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157 | (3) |
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Optimizing the guaranteed cost bound |
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160 | (4) |
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164 | (4) |
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Guaranteed cost control via a Lyapunov function of the Lur'e-Postnikov form |
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168 | (11) |
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168 | (4) |
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Controller synthesis via a Lyapunov function of the Lur'e-Postnikov form |
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172 | (5) |
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177 | (2) |
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179 | (2) |
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Finite-horizon guaranteed cost control |
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181 | (34) |
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181 | (1) |
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The uncertainty averaging approach to state-feedback minimax optimal control |
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182 | (11) |
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182 | (3) |
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A necessary and sufficient condition for the existence of a state-feedback guaranteed cost controller |
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185 | (8) |
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The uncertainty averaging approach to output-feedback optimal guaranteed cost control |
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193 | (7) |
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193 | (2) |
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A necessary and sufficient condition for the existence of a guaranteed cost controller |
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195 | (5) |
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Robust control with a terminal state constraint |
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200 | (8) |
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200 | (2) |
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A criterion for robust controllability with respect to a terminal state constraint |
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202 | (3) |
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205 | (3) |
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Robust control with rejection of harmonic disturbances |
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208 | (6) |
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208 | (2) |
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Design of a robust controller with harmonic disturbance rejection |
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210 | (4) |
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214 | (1) |
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Absolute stability, absolute stabilization and structured dissipativity |
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215 | (30) |
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215 | (2) |
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Robust stabilization with a Lyapunov function of the Lur'e-Post-nikov form |
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217 | (13) |
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217 | (1) |
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Design of a robustly stabilizing controller |
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218 | (12) |
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Structured dissipativity and absolute stability for nonlinear uncertain systems |
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230 | (13) |
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230 | (1) |
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231 | (2) |
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A connection between dissipativity and structured dissipativity |
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233 | (4) |
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Absolute stability for nonlinear uncertain systems |
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237 | (6) |
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243 | (2) |
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Robust control of stochastic uncertain systems |
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245 | (102) |
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245 | (2) |
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H∞ control of stochastic systems with multiplicative noise |
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247 | (29) |
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A stochastic differential game |
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249 | (16) |
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Stochastic H∞ control with complete state measurements |
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265 | (8) |
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273 | (3) |
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Absolute stabilization and minimax optimal control of stochastic uncertain systems with multiplicative noise |
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276 | (14) |
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The stochastic guaranteed cost control problem |
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276 | (4) |
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Stochastic absolute stabilization |
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280 | (5) |
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State-feedback minimax optimal control |
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285 | (5) |
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Output-feedback finite-horizon minimax optimal control of stochastic uncertain systems with additive noise |
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290 | (17) |
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290 | (4) |
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Finite-horizon minimax optimal control with stochastic uncertainity constraints |
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294 | (6) |
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Design of a finite-horizon minimax optimal controller |
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300 | (7) |
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Output-feedback infinite-horizon minimax optimal control of stochastic uncertain systems with additive noise |
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307 | (37) |
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307 | (3) |
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Absolute stability and absolute stabilizability |
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310 | (6) |
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A connection between risk-sensitive optimal control and minimax optimal control |
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316 | (14) |
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Design of the infinite-horizon minimax optimal controller |
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330 | (8) |
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338 | (1) |
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339 | (5) |
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344 | (3) |
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Nonlinear versus linear control |
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347 | (46) |
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347 | (1) |
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Nonlinear versus linear control in the absolute stabilizability of uncertain systems with structured uncertainty |
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348 | (13) |
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348 | (3) |
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Output-feedback nonlinear versus linear control |
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351 | (10) |
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State-feedback nonlinear versus linear control |
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361 | (1) |
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Decentralized robust state-feedback H∞ control for uncertain large-scale systems |
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361 | (14) |
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361 | (3) |
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Uncertain large-scale systems |
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364 | (3) |
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Decentralized controller design |
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367 | (8) |
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Nonlinear versus linear control in the robust stabilizability of linear uncertain systems via a fixed-order output-feedback controller |
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375 | (8) |
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375 | (3) |
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Design of a fixed-order output-feedback controller |
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378 | (5) |
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Simultaneous H∞ control of a finite collection of linear plants with a single nonlinear digital controller |
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383 | (9) |
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383 | (1) |
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The design of a digital output-feedback controller |
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384 | (8) |
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392 | (1) |
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Missile autopilot design via minimax optimal control of stochastic uncertain systems |
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393 | (10) |
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393 | (1) |
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394 | (5) |
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395 | (4) |
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399 | (2) |
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State-feedback controller design |
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399 | (1) |
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Output-feedback controller design |
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399 | (2) |
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401 | (2) |
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Robust control of acoustic noise in a duct via minimax optimal LQG control |
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403 | (16) |
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403 | (1) |
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Experimental setup and modeling |
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404 | (4) |
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404 | (1) |
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System identification and nominal modelling |
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405 | (1) |
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405 | (3) |
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408 | (6) |
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414 | (3) |
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417 | (2) |
A. Basic duality relationships for relative entropy |
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419 | (2) |
B. Metrically transitive transformations |
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421 | (6) |
References |
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427 | (22) |
Index |
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449 | |