|
|
 |
| Авторизация |
|
|
|
| Поиск по указателям |
|
|
|
|
|
|
|
 |
|
|
|
| Staffans O. — Well-Posed Linear Systems |
|
|
|
| Предметный указатель |
Realization normalized 574—582
Realization restricted shift 615
Realization shift 73—77 545 562
Realization shift, bilateral input 75 91 217 236 309 367
Realization shift, bilateral output 75 91 217 236 368
Realization shift, exactly controllable 75 91 217 235 309 367 545 562 573 615
Realization shift, exactly observable 75 76 91 217 236 367 512 545 563 573 615
Realization shift, restricted exactly controllable 574 575 615
Realization shift, restricted exactly observable 615
Realization, balanced 574—582
Realization, balanced Hankel 577
Realization, balanced passive 752
Realization, bounded B and C 614
Realization, conservative 732—739
Realization, dependent of 356
Realization, exactly controllable 571
Realization, exactly observable 572 573
Realization, Hankel 559—563
Realization, independent of 356
Realization, minimal 89 545—552 554 571 615
Realization, passive 732—739
Realization, pseudo-similar 553—558
Realization, similar 571 572
Realization, strongly stable 512
Reciprocal transform 28 788—796
Reducing subspace 11 196
Reflection operator 132
Reflexive 55 125 127 130 218 247 611
Reg,  ,  xvii 65
Reg-well-posed 40 88 242 243
Regular 342—354
Regular closed-loop system 468—474
Regular flow-inverted system 391—395
Regular partial flow-inversion 428—429
Regular system 14
Regulated function 8 799
Required supply 26 750 758
Residual cost operator 636 637
Resolvent 102
Resolvent identity 102
Resolvent of shift semigroup 110
Resolvent operator 102 109 112
Resolvent operator, frequency domain description 194
Resolvent set xv 102 103
Return difference 439
Riemann — Lebesgue lemma 349
Riesz basis 207 298
Riesz projection 201
Rigged Banach spaces 10 134—136 207 301
Right invertible 602
Scattering 81 89 91 673—759
Scattering matrix 83
Scattering operator 82
Schur decomposition 818
Sector 164—166 169
Sectorial 164—177
Semi-lossless system 24 694—701
Semigroup 38 39
Semigroup analytic 164—177
Semigroup approximations 141—145
Semigroup completely non-unitary 680
Semigroup energy preserving 680
Semigroup exponentially shifted 101 178
Semigroup generator 3 262
Semigroup locally bounded 39 70
Semigroup quotient 549
Semigroup shift 90
Semigroup shift, dual 131
Semigroup similarity transformed 101
Semigroup, backward 359
Semigroup, Co 39
Semigroup, co-isometric 680
Semigroup, diagonal 207
Semigroup, dual 124—133
Semigroup, norm continuous 93—95
Semigroup, strongly continuous 39
Semigroup, time compressed 101 178
Semigroup, unitary 680
Sensitivity 439
Sensitivity, complementary 439
Shift operator 33
Shift, bilateral 51 99 107 110 131 193 194
Shift, circular 52 100 107 110 131 194 195
Shift, dual 131
Shift, finite 52 99 107 110 131 194
Shift, frequency domain description 192—195
Shift, incoming 51 99 107 110 131 193 194
Shift, outgoing 51 99 107 110 131 193 194
Similarity 367 571 572
Similarity transformation 55
Similarity, unitary 703
Simple function 237
Simple system 24 684
Smooth in space 146 147 150 224 233
Smooth in time 146 147 150 224—226 228 233 240 249 250 255 257—259
Sobolev space 10
Solution, strong 146 147 150 152
Solution, strong, on the whole line 221 222 225 484
Spectral, minimality 21 596—598
Spectral, projection 11 201—204
Spectral, resolution 114 203
Spectrum xv 102 107—115
Spectrum determined growth 11 178—181 208 634
Spectrum of conservative system 755—756
Spectrum of Lax — Phillips model 280
Spectrum point xv 102 107 112
Spectrum, continuous xv 102 107 112
Spectrum, residual xv 102 107
Stability 18 477—487
Stability preserved under feedback 484
Stability, exponential 18
Stability, frequency domain conditions 481 482
Stabilizability 18 488—501
Stabilizability right coprime 516
Stabilizability, meromorphic extensions 496
Stabilizability, necessary rank condition 495
Stabilizability, preserved under feedback 493 519
Stabilization, coprime 511—523
Stabilization, dynamic 523—539
Stabilization, dynamic output feedback 523
Stabilization, exponential 492 516 519 520 523
Stabilization, input 492 516 523
Stabilization, input-state 492 516 523
Stabilization, input/output 492 516 523
Stabilization, output 492 516 523
Stabilization, output feedback 491
Stabilization, right coprime 516
Stabilization, state-output 492 516 523
Stabilization, state-state 492 516 523
Stabilization, strong 492 516 519 520 523
Stabilization, weak 492 516 523
Stable 21 478
Stable input 477
Stable output 478
| Stable strong input 478
Stable strong output 478
Stable, exponentially 478 485 499 518
Stable, input/output 477
Stable, jointly 621
Stable, power stable 768
Stable, strongly 18 478 485 498 518
Stable, strongly  -stable 768
Stable, strongly input-state 478
Stable, strongly input/output 478
Stable, strongly state-output 478
Stable, strongly state-state 478
Stable, weakly 18 478
Stable, weakly -stable 768
State 41 71
State feedback 17 454—457 599
State space 1 38
State trajectory 32 223
State trajectory of system node 267
State trajectory, backward 360
State transition map 41
State transition map, backward 362
static 13 24 73 243
Step function 799
Stirling's formula 144
Strictly noncyclic 609 616
Strongly -stable 768
Strongly stable 18
Subspace invariant 11 196—205
Subspace, reachable 546
Subspace, reducing 11 196
Subspace, unobservable 546
Sum junction 57 290 498
Sum junction, compatible 307
Sum junction, dual 367
Summability methods 14
Symbolic calculus 11
System node x 2 12 248—277
System node, closed-loop 458
System node, dual 370
System node, flow-inverse 381
System node, time-inverse 399
System, *-optimal 747
System, analytic 350
System, anti-causal 359—364
System, backward 399
System, compatible 299—307
System, compatible, dual 374
System, conservative 24
System, diagonal 13 283—287
System, dual 364—376
System, energy preserving 24
System, exponentially shifted 55 71 279 306 367 567
System, flow-inversion 16
System, flow-invertible 16
System, minimal 546
System, normal 13 287—289
System, optimal 747
System, regular 14 342—354 356
System, regular, dual 374
System, similarity transformed 55 71 132 178 207 279 298 306 367 567
System, similarity transformed stabilizability 497
System, simple 24 684
System, static 13
System, strongly regular 356
System, time compressed 55 71 279 306 367 567
System, time compressed stabilizability 497
System, time-flow-inverted 408
System, time-flow-invertible 408
System, time-inversion 15
System, time-inverted 399
System, time-invertible 15 399
System, uniformly regular 356
System, weakly regular 356
System, weakly regular,  -well-posed 345
T-junction 58 291 498
T-junction, compatible 307
T-junction, dual 367
TI, TIC xv 74
Time compression operator, dual 132
Time compression operator, inverse 132
Time compression operator, xiv 55
Time discretization 60—64
Time domain 1
Time-flow-inversion 16 406—414
Time-flow-inverted system 408
Time-flow-invertible 408 409 411 687 767
Time-flow-invertible, dual 414
Time-flow-invertible, operator node 411
Time-invariance 43 45 73 363
Time-inversion 15 16 396—406 599 600
Time-invertible 15 399 401—403 405 406 767
Time-invertible, dual 401
Toeplitz operator 73
Totally bounded 806—808
Totally disconnected 596
Trace operator 313
Transfer function 1 4 12 83 90 248—259 263 297 356 542 615 658 810 811
Transfer function discrete time 765
Transfer function of compatible system 302
Transfer function, analytic 248
Transfer function, bi-inner 681
Transfer function, dual 370
Transform linear fractional 770—774
Transform reciprocal 28 788—796
Transform, Cayley 775—787
Transform, Laguerre 775—787
U xv
Uniformly positive operator 802
Unitarily similar 703
Unitary 680 803
Unitary part of semigroup 684
Universal model 25 721—731
Unobservable 642
Unobservable subspace 546
Unobservable subspace of Lax — Phillips model 721
Variation of constants formula 34 108 109 146 212
w-lim xiv
Weak*-dense 125
Weakly -stable 768
Weakly stable 18
Weiss notations 84—85 92
Well-posed linear system 8 40 42
Wold decomposition 662 731 756
X xv
X* 124
x*x xiv
X+BU 230 305 308
Y xv
Yosida approximation 142 246 318—320 324
Yosida extension 326 338 356
Youla parameterization 19 523—540
Young's inequality 810
z-transform 27 764
Я 132
|
|
|
| Реклама |
|
|
|
|
|
О проекте