| Preface |
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xiii | |
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1 | (18) |
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4 | (8) |
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4 | (5) |
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9 | (3) |
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Notation and Abbreviations |
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12 | (1) |
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Dynamical Systems with Time Delay |
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13 | (4) |
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17 | (1) |
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17 | (2) |
| I Deterministic Control |
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19 | (156) |
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Deterministic Time Delay Systems |
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21 | (10) |
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Class of Dynamical Linear Systems with Time Delay |
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22 | (1) |
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23 | (5) |
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Stability and Stabilizability |
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23 | (2) |
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25 | (2) |
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27 | (1) |
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28 | (1) |
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29 | (2) |
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Stability and Stabilizability |
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31 | (38) |
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Delay-Independent Stability and Stabilizability |
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32 | (7) |
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Delay-Independent Stability |
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33 | (2) |
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Delay-Independent State Feedback Stabilization |
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35 | (4) |
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Delay-Dependent Stability and Stabilizability |
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39 | (9) |
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Delay-Dependent Stability |
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39 | (4) |
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Delay-Dependent State Feedback Stabilization |
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43 | (5) |
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Output Feedback Stabilization |
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48 | (9) |
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Delay-Independent Dynamic Output Feedback Stabilization |
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49 | (5) |
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Observer-Based Output Feedback Stabilization |
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54 | (3) |
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Discretization Scheme of Lyapunov Functional |
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57 | (9) |
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66 | (3) |
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Robust Stability and Robust Stabilizability |
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69 | (30) |
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Delay-Independent Stability and Stabilizability |
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71 | (8) |
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Delay-Independent Stability |
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71 | (3) |
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Delay-Independent Stabilization with Memoryless Control |
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74 | (2) |
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Delay-Independent Stabilization under Memory Controller |
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76 | (3) |
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Delay-Dependent Stability and Stabilizability |
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79 | (12) |
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Delay-Dependent Stability |
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79 | (5) |
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Delay-Dependent Stabilizability using Memoryless Control |
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84 | (2) |
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Delay-Dependent Stabilization with Memory Controller |
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86 | (5) |
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Output Feedback Stabilization |
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91 | (7) |
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98 | (1) |
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99 | (32) |
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100 | (6) |
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Output Feedback H∞ Control Problem |
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106 | (5) |
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Delay-Dependent H∞ Control |
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111 | (6) |
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117 | (13) |
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Delay-Independent H∞ Filtering |
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118 | (4) |
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Delay-Dependent H∞ Filtering |
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122 | (8) |
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130 | (1) |
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Robust H∞ Control, Filtering, and Guaranteed Cost Control |
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131 | (44) |
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132 | (17) |
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Robust Output Feedback H∞ Control |
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149 | (6) |
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155 | (6) |
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161 | (12) |
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162 | (2) |
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164 | (3) |
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167 | (6) |
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173 | (2) |
| II Stochastic Control |
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175 | (202) |
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Stochastic Time Delay Systems |
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177 | (8) |
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Class of Dynamical Systems with Markov Jump and Time Delay |
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178 | (1) |
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179 | (3) |
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182 | (1) |
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183 | (2) |
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Stability and Stabilizability of Markov Jump Systems |
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185 | (44) |
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Delay-Independent Stability and Stabilizability |
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187 | (8) |
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187 | (3) |
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Mean Exponential Stability |
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190 | (5) |
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Delay-Dependent Stability and Stabilizability |
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195 | (11) |
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Delay-Dependent Stochastic Stability |
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195 | (5) |
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Delay-Dependent Stabilizability |
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200 | (2) |
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Maximization of the Time Delay |
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202 | (1) |
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Stabilization of MJLS with Delayed Control |
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203 | (3) |
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Output Feedback Stabilization |
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206 | (16) |
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Delay-Independent Output Feedback Stabilization |
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206 | (7) |
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Delay-Dependent Output Feedback |
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213 | (9) |
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Stability and Stabilizability of JLS with Mode-Dependent Time Delays |
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222 | (6) |
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228 | (1) |
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Robust Stability and Stabilizability of Jump Linear Uncertain Systems with Time Delay |
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229 | (54) |
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Delay-Independent Robust Stability and Stabilizability |
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231 | (9) |
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Stabilization under Memoryless Controller |
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237 | (3) |
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Delay-Dependent Robust Stability and Stabilizability |
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240 | (6) |
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Delay-Dependent Stability |
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241 | (3) |
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Delay-Dependent Robust Stabilization under a Memoryless Controller |
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244 | (2) |
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Robust Output Stabilization |
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246 | (10) |
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Robust Stability and Stabilization of JLS with Discrete and Distributed Time Delays |
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256 | (10) |
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Robust Stability of JLS with Discrete and Distributed Time Delays |
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257 | (6) |
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Robust Stabilization of JLS with Discrete and Distributed Time Delays |
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263 | (3) |
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Robust Stability and Stabilization for JLS with Mode-Dependent Time Delays |
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266 | (15) |
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Robust SS of JLS with Mode-Dependent Time Delays |
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266 | (5) |
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Robust Stabilization of JLS with Mode-Dependent Time Delays |
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271 | (3) |
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Robust Output Feedback Stabilization |
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274 | (7) |
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281 | (2) |
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H∞ Control and Filtering Problems for Markov Jump Systems with Time Delay |
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283 | (42) |
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284 | (9) |
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285 | (4) |
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Synthesis of Memoryless Controller |
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289 | (4) |
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Delay-Dependent H∞ Control |
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293 | (10) |
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Delay-Dependent H∞ Performance |
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294 | (7) |
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Synthesis of Stabilizing Controller |
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301 | (2) |
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Output Feedback H∞ Control Problem |
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303 | (8) |
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311 | (13) |
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324 | (1) |
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Robust H∞ and Guaranteed Cost Control for Jump Linear Systems with Time Delay |
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325 | (36) |
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326 | (17) |
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327 | (9) |
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Synthesis of Robust Controller |
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336 | (7) |
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343 | (7) |
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Guaranteed Cost Performance |
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344 | (2) |
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State Feedback Controller Design |
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346 | (4) |
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Output Feedback Guaranteed Cost Control |
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350 | (10) |
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360 | (1) |
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Nonlinear Stochastic Control Problem |
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361 | (16) |
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363 | (5) |
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368 | (8) |
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Linear State Feedback Controller Design |
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369 | (2) |
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Nonlinear State Feedback Controller Design |
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371 | (5) |
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376 | (1) |
| A Linear Matrix Inequality and Preliminary Lemmas |
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377 | (18) |
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377 | (7) |
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384 | (7) |
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384 | (2) |
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Minimization of a Linear Objective under LMI Constraints |
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386 | (2) |
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Generalized Eigenvalue Minimization Problem |
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388 | (3) |
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391 | (4) |
| B Matrix Inversion Formulas |
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395 | (2) |
| C Kronecker Product |
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397 | (2) |
| D Markov Process |
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399 | (4) |
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Continuous-Time Finite State Markov Process |
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399 | (1) |
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Strong Markov Property and Infinitesimal Generator of Stochastic Hybrid Systems |
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400 | (3) |
| References |
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403 | (16) |
| Index |
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419 | |