Brewer J.W., Bunce J.W., Vleck F.S. — Linear systems over commutative rings :: Электронная библиотека попечительского совета мехмата МГУ

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Brewer J.W., Bunce J.W., Vleck F.S. — Linear systems over commutative rings

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Название: Linear systems over commutative rings

Авторы: Brewer J.W., Bunce J.W., Vleck F.S.

Аннотация:

Linear systems over commutative rings have been intensively studied for the past fifteen years. Much of this work was carried out by mathematicians and theoretical engineers studying linear systems depending on a parameter or linear systems with delays. The use of algebraic methods has clarified and unified the study of linear systems of these types.

Язык:

Рубрика: Математика/

Серия: Сделано в холле

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1986

Количество страниц: 199

Добавлена в каталог: 10.06.2011

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

(*)-matrix      82
Absolutely convergent Fourier series      129
Adequate      95
Almost integral      25 26 169 172
Alternate companion matrix      70
Ascending chain condition      17
Behavior matrix      142
Bezout Domain      29 30 33 99 158
Binet — Cauchy formula      84 133
Blow-up      146 177
Canonical      177 178
Cayley — Hamilton theorem      14 15
Characteristic polynomial      15
Chinese remainder theorem      132
Chop      146 177
Classical duality theorem      50
Classical observability theorem      50
Classical reachability theorem      49
Coefficient assignability      67 73 78
Coefficient assignable      67
Column space      148
Companion matrix      69
Complete integral closure      26
Completely integrally, closed      26 99 158 169
Continuous-time      8 48
Control      48
Cyclic vector      70
Dedekind domain      40 44 45
Delay differential equation      5
DIMENSION      90 149
Disc algebra      129
Discrete valuation      43
Discrete valuation ring      43
Discrete-time system      10
Dual      59
Dual basis lemma      37
Duality theorem      60
Dynamic feedback      108
Dynamic stabilization      107
Dynamically coefficient, assignable      109 116 136
Dynamically pole assignable      109 116
Dynamically stabilizable      109
Elementary divisor ring      91 99
Entire functions      138
Feedback cyclization      74 75 76
Feedback matrix      4 66 73 107
Feedback term      4
Formally real      56
Fractional ideal      38
g.c.d.      29
Good matrix      82
Greatest common divisor      29
Hankel matrix      142
Hermitian matrix      142
Heymann's lemma      74 137
i/o map      9 141
Infinite dimensional      94 99
Initial state      49
Input      2 48
Input-output map      9 141
integral      22 24 169
Integral closure      25
Integrally closed      25 30 169

Invertible ideal      39
Isomorphism      181
Jacobson radical      76 132
Linear feedback system      107
Linear system      8 48
Linearize      2 135
localization      35
Maximum condition      18
McCoy's Theorem      53
Minimal prime ideal      96
Morphism      181
Noetherian module      17 19 63
Noetherian ring      16 17 21 29
Observable      8 50 58 177
Order      42
Output      8 48
p-shift      146
Parametric stabilization      122 126
Pole assignability      10 67 104 106
Pole assignable      67
Positive matrix      123
Prime ideal      20
Principal ideal domain      29 80 92
Projective module      36 37 39
Pseudo-realization      145 185
Quasi-local ring      78
Quillen — Suslin theorem      91
Rank      134 148
Rank one      82
rational      165 168
Reachability      11 54
Reachable      49 54 55 116 177
Real analytic functions      30 45 96 98 99
Realizable      140 168 170 176
Realization      9 140 145
Recurrence polynomial      165 176
Recurrent      142 168 176
Regulator problem      131
Residually injective      59
Residually surjective      51
Restricted dynamic coefficient assignable      121
Restricted dynamic feedback      120 136
Row space      148
Shift      146 177
Silverman's formulas      155
Single-input      48 69
Single-output      48
Stabilization problem      10 66
Stable      122
Stable matrix      122
Stably free      85
State      48
State estimable      130 131
State feedback      66 67
Systems equivalent      85
Time-invariant      8 48
Torsion free      34
Total quotient ring      35
Transfer function      5 141
Unimodular      81
Unimodular column property      85
Unique factorization domain      28
Unitary polynomial      172

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