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| Machel A.N., Wang K. — Qualitative Theory of Dynamical Systems: The Role of Stability Preserving Mappings |
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| Предметный указатель |
Quasimonotone nondecreasing 18 174 558
Radially unbounded 263 308 336
Rayleigh's dissipation function 54
Razumikhin-type theorem 391
Reachable 657
Real Time 457
Regulator system 288 434
Restriction (of system) 190
Retarded functional differential equation 6 61 62
Robust stability 28 426
Sample 463
Sample and hold element 463
Sample multi-rate 500
Sampled-data control system 464 476 585
Schauder's fixed point theorem 64
Sector condition 289 434
Semigroup 6 22 116 210 linear and
Set-valued mapping 413
Simultaneous event 238
Sliding mode 487 648 649
Sobolev space 85
Sobolev space, solution 46 55 58 403 414 483 648
Sobolev's imbedding theorem 360
Solution in the sense of Filippov 484 486
Solution of (GE) 335
Stability see stable
Stability preserving mapping 2 9 10 24 31 33 111 125 126 511 515
Stable 9 10 13 17 19 20 32 34 35
Stable operator 394
Stable output vector 651
Stable, finite dimensional dynamical system 265 271 284 310 316
Stable, general dynamical system 118 121 122 129 152 168 169 178 180—183 185 186 190—192 197 207 226 232 238 241—243 250
Stable, hybrid and discontinuous dynamical system 470 473 476 512 502 520 523 539 541 557—560 562 566 568
Stable, infinite dimensional dynamical system 340 343 347 365 368 373 391 394 401 402 405 416 417 425 428 430
State saturation constraints 492 659
State trajectory 225
Strongly stability preserving mapping 11 12 32 33 126 127 511 515
Subsystem 44
Switched system 483 574
Switching rule 483
System defined on a closed hypercube 492 659
System of differential inclusion 27 413
| System plant 500
System with impulse effects 482
System with variable structure see variable structure system
Task 229
Time space 460
Trajectory 117 210
Transfer function 292
Trigger function 465
Undecomposable (system) 376
Uniform asymptotic stability see asymptotically stable
Uniform asymptotic stability in the large see asymptotically stable
Uniform boundedness see uniformly bounded
Uniform global asymptotic stability see asymptotically stable
Uniform stability see stable
Uniform ultimate boundedness see uniformly ultimately bounded
Uniformly asymptotically stable see asymptotically stable
Uniformly asymptotically stable in the large see asymptotically stable
Uniformly attractive 9 119 121 153
Uniformly bounded 10 12 14 17 19 20 33—35 99
Uniformly bounded, finite dimensional dynamical system 269 272 285 317
Uniformly bounded, general dynamical system 119 121 122 131 169 170 179 180 182 184 186 253 254
Uniformly bounded, hybrid and discontinuous dynamical system 471 473 503 514 515 522 535 537 553 557—559 561
Uniformly bounded, infinite dimensional dynamical system 345 346 348 373 394 398 400—402
Uniformly stable see stable
Uniformly ultimately bounded 10 12 14 17 19 20 33—35
Uniformly ultimately bounded, finite dimensional dynamical system 270 273 285 317
Uniformly ultimately bounded, general dynamical system 119 121 122 169 170 179 180 182 184 187 254
Uniformly ultimately bounded, hybrid and discontinuous dynamical system 471 473 503 514 515 522 535 537 554 557—559 561 593 594 627
Uniformly ultimately bounded, infinite dimensional dynamical system 346 348 373 400—402
Uniqueness property 23 24 114 216
Unstable 9 14—16 34 35
Unstable output vector 651
Unstable, finite dimensional dynamical system 274 276 277 282 312 313
Unstable, general dynamical system 119 121 122 136 138 139 141 145 158 159 172 173 194 195 205 243—245 248 249
Unstable, hybrid and discontinuous dynamical system 471 474 503 532—534 587 590 602 607
Unstable, infinite dimensional dynamical system 352—355 357 359 363 396
Upper semicontinuous 415
Valid event trajectory 224 225
Variable structure system 483 484 638 687
Vector Lyapunov function 221 555
Volterra integro differential equation 6 71 148 159 338
Wave equation 87 104
Yacubovich — Kalman Lemma 291
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