Авторизация
Поиск по указателям
Antsaklis P.S., Michel A.N. — Linear Systems
Обсудите книгу на научном форуме Нашли опечатку?
Название: Linear SystemsАвторы: Antsaklis P.S., Michel A.N. Аннотация: "There are three words that characterize this work: thoroughness, completeness and clarity. The authors are congratulated for taking the time to write an excellent linear systems textbook! …The authors have used their mastery of the subject to produce a textbook that very effectively presents the theory of linear systems as it has evolved over the last thirty years. The result is a comprehensive, complete and clear exposition that serves as an excellent foundation for more advanced topics in system theory and control." —IEEE Transactions on Automatic Control
Язык: Рубрика: Технология /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2006Количество страниц: 670Добавлена в каталог: 28.03.2010Операции: Положить на полку |
Скопировать ссылку для форума | Скопировать ID
Предметный указатель
23 Abel's formula 140 Ackermann's formula 334 353 Adjoint equation 197 Adjoint of a matrix 115 442 Aircraft 209 320 381 Algebra 102 Algebra, associative 103 Algebra, commutative 103 Algebraic equation 115 see Algebraic multiplicity 124 444 see Algebraic Riccati equation 343 349 358 363 see Algebraically closed 123 see Ascoli — Arzela lemma 22 Asymptotic behavior 156 186 see Asymptotic state estimator 351 see Asymptotically stable 159 189 449 491 494 497 504 563 see Asymptotically stable in the large 450 491 494 499 see "Globally At rest 71 77 see Attractive 449 491 see Automobile suspension system 207 380 Autonomous 11 62 see "System" Axioms of a field 37 Axioms of a metric 438 Axioms of a norm 438 Axioms of a vector space 38 B-W property 18 see Balanced representations 430 Basis 99 100 170 439 551 552 see Bessel's inequality 440 Bezout identity 553 612 see BIBO stable 481 490 505 see Bijective 101 102 see Bilinear functional 435 Bilinear functional, signature 435 Bilinear functional, symmetric 435 436 Binet — Cauchy formula 639 Biproper 552 577 see Block diagonal 130 see Blocking property 307 see Bolzano — Weierstrass property 18 44 Bounded 491 493 see Bounded-input/bounded-output stability 481 482 483 484 490 505 see Brunovsky canonical form 288 see Building, earthquake protection 208 Canonical form 116 127 535 Canonical form, Brunovsky 288 Canonical form, Jordan 130 135 136 Canonical Structure Theorem 270 see Cartesian product 8 Cauchy criterion 20 Cauchy sequence 18 Cauchy — Peano existence theorem 25 Causal 67 70 71 77 see Cayley — Hamilton theorem 124 154 Characteristic equation 123 Characteristic exponent 163 Characteristic polynomial 123 299 563 see "Transfer Characteristic value 122 see Characteristic vector 122 see Chemical reaction process 381 Cholesky decomposition 647 Closed loop control 327 Cofactor 113 see Column rank 119 see Column reduced 526 see Column vector 107 see Command input 326 see "Reference Common divisor 535 Common divisor, left 536 Common divisor, right 536 see Commutative algebra 103 see Compact set 9 18 Companion form 131 153 468 see Complete instability 473 501 see unstable" Complete space 18 Completeness property 288 Complex vector space 38 Composite system 203 see Condition number 646 647 649 see Conformal matrices 109 see Congruent matrices 435 436 see Conservative system 81 see Constructibility 219 247 251 252 260 Constructibility, continuous-time system 248 252 Constructibility, discrete-time system 219 257 Constructibility, Gramian 251 256 262 see Continuation of solutions 26 27 31 37 see Continuous dependence of solutions 37 see Continuous function at a point 9 44 Continuous function over an interval 9 Continuous function, uniformly 9 Continuous time systems 4 see Control problems 632 Controllability 214 215 228 235 242 264 265 274 561 Controllability from the origin 215 217 228 236 see Controllability to the origin 215 218 228 Controllability, continuous-time system 227 235 Controllability, discrete-time system 215 241 Controllability, eigenvalue/eigenvector (PBH) test 272 Controllability, Gramian 233 240 245 Controllability, index 283 Controllability, matrix 217 Controllability, output 312 Controllability, subspace 229 236 242 Controllable 228 235 561 Controllable companion form 279 Controllable eigenvalues 265 Controllable mode 265 Controllable pair 229 Controllable single-input 373 Controllable state 242 Controllable subspace 229 236 242 Controllable, differentially 315 Controllable, instantaneously 315 Controllable, uniformly 315 Controller companion form 203 Controller form 279 280 285 291 Controller form, multi-input 283 Controller form, single-input 280 Controller with two degrees of freedom 368 622 Controller, digital 182 Controller, feedback 589 Controller, implementations 629 Convergence of a function 18 Convergence of a function, pointwise 18 19 44 Convergence of a function, uniform 18 19 20 Convergence of a sequence 18 44 Convergence of a series 21 Convergence of a series, pointwise 21 Convergence of a series, uniform 21 Converse theorem 513 Converter (A/D, D/A) 183 Convolution, integral 78 Convolution, sum 70 Coordinate representation 100 see Coprime 535 593 see "Polynomials" Critical 460 462 see Cyclic 132 see D/A converter 183 Dead-beat, control 201 Dead-beat, observer 359 Decoupling indices 377 see Decoupling, diagonal 377 378 633 Decoupling, static 634 Degree, McMillan 397 Degree, McMillan, polynomial vector 526 Detectable 351 Determinant 112 121 586 see "Matrix" "Return Determinantal divisor 299 534 Diagonal decoupling 377 378 633 Difference equations 62 63 see Differential equations, ordinary, classification 11 see Differential equations, ordinary, first-order 10 see Differential equations, ordinary, linear 47 see Differential equations, ordinary, linear homogeneous 13 138 see Differential equations, ordinary, linear homogeneous with constant coefficients 148 see Differential equations, ordinary, linear nonhomogeneous 138 145 see Differential equations, ordinary, nth order 12 see Differential equations, ordinary, systems of first order 37 see Digital controller 182 Digital filter 65 Digital to analog converter 183 DIMENSION 99 see Diophantine equation 540 612 656 Diophantine equation, all solutions 550 Diophantine equation, Bezout identity 553 612 Diophantine equation, historical remarks 552 Dirac delta distribution 72 74 154 Direct form 65 Direct link matrix 169 Direct sum 126 Discrete-time impulse 68 178 Discrete-time Kalman filter 363 see Discrete-time system 3 5 60 66 174 215 241 242 257 348 358 362 388 392 401 489 see Distance function 438 Divisor, common 535 Divisor, greatest common 535 536 Divisor, left, right 536 Domain of attraction 449 491 see Double integrator 205 Doubly coprime 593 see Dual system 222 402 Economic model 205 382 Eigenvalue 121 122 298 301 305 564 Eigenvalue or pole assignment 328 330 658 Eigenvalue or pole assignment, direct method 328 Eigenvalue or pole assignment, eigenvector assignment 337 Eigenvalue or pole assignment, using controller form 332 Eigenvalue, algebraic multiplicity 124 444 Eigenvalue, controllable 265 Eigenvalue, critical 460 462 Eigenvalue, geometric multiplicity 122 Eigenvalue, repeated 129 Eigenvalue, spectrum 122 Eigenvector 121 122 Elementary operations, column 526 Elementary operations, row 526 Elementary unimodular matrices 526 Eliminant matrix 542 547 Equicontinuous 22 46 Equilibrium 158 189 445 446 490 see Equilibrium, asymptotically stable 158 189 449 491 494 497 504 563 see Equilibrium, asymptotically stable in the large 450 491 494 499 see Equilibrium, attractive 449 491 see Equilibrium, completely unstable 473 501 see Equilibrium, domain of attraction 449 491 see Equilibrium, exponentially stable 449 480 512 see Equilibrium, exponentially stable in the large 450 459 471 see Equilibrium, globally asymptotically stable 450 491 494 499 see Equilibrium, isolated 446 see Equilibrium, qualitative characterization 447 see Equilibrium, stable 159 189 448 452 455 459 491 492 see Equilibrium, trivial solution 138 446 see Equilibrium, uniformly asymptotically stable 449 see Equilibrium, uniformly asymptotically stable in the large 450 459 451 see Equilibrium, uniformly stable 448 453 454 455 459 461 470 512 see Equilibrium, unstable 159 189 450 459 462 472 479 481 491 495 497 499 504 513 see Equivalence of internal representations 170 180 554 Equivalence, relation 535 Equivalence, transformation 181 Equivalent 116 119 172 181 535 554 Estimator 361 see Euclidean norm 42 Euclidean ring 551 Euclidean space 437 441 Euler method 25 65 85 Euler polygon 25 Exponentially stable 449 477 480 512 see Exponentially stable in the large 450 459 471 see Extended system matrix 557 External input 326 External system description 5 65 see Feedback 326 589 feedback control systems 58 589 590 see "Output Feedback stabilizing controller 589 Feedback stabilizing controller, paramererizations 592 Feedback stabilizing controller, parameterizations, proper and stable (MFD) 611 615 Feedback stabilizing controller, two degrees of freedom 622 Feedback, configuration 203 573 Feedback, gain matrix 327 Feedback, integral 379 Feedback, output 363 379 658 Feedback, state 321 323 324 326 327 364 658 Fermat's last theorem 553 Field 37 Field, algebraically closed 123 Field, complex numbers 38 Field, rational functions 37 Field, real numbers 38 Filtering theory 357 Floquet multipliers 163 Force field, inverse square law 52 Fractional description 521 see Frequency response 204 463 465 Frobenius norm 653 Function 8 Function, bijective 101 Function, continuous 9 Function, Hamiltonian 81 Function, indefinite 437 469 Function, negative definite, semidefinite 437 491 Function, one-to-one, orinjective 101 Function, onto, or surjective 101 Function, piecewise continuous 9 58 Function, positive definite, semidefinite 437 469 491 Fundamental matrix 139 140 Fundamental sequence 18 Fundamental set of solutions 140 Fundamental theorem of linear equations 101 Gap and position criterion 465 see Gaussian elimination 647 Generalized distance function 468 see Generalized energy function 468 see Generalized function 74 see Geometric multiplicity 122 see Globally asymptotically stable 491 494 see "Equilibrium" Gram — Schmidt process 440 Gram, determinant 234 Gram, matrix 234 Gramian constructibility 251 256 262 Gramian controllability 233 240 246 Gramian observability 249 253 259 Gramian reachability 230 236 245 Graphical criteria 462 see Gronwall inequality 29 H-B property 18 44 Hamiltonian dynamical system 81 Hamiltonian function 81 Hamiltonian matrix 344 349 Hankel matrix 399 Hard disk, read/write head 212 382 harmonic oscillator 198 Heine — Borel property 18 44 Hermite form 532 Hermitian matrix 648 Highest degree coefficient matrix 526 homogeneous differential equations 138 see homogeneous solution 58 64 145 see Hurwitz matrix 460
Реклама
-approximate solution 
|
|
О проекте