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Tannenbaum A. — Invariance and System Theory: Algebraic and Geometric Aspects
Tannenbaum A. — Invariance and System Theory: Algebraic and Geometric Aspects



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Название: Invariance and System Theory: Algebraic and Geometric Aspects

Автор: Tannenbaum A.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1981

Количество страниц: 161

Добавлена в каталог: 20.09.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Absolutely minimal realization      93
Affine variety      1 97
Algebraic group      36
Algebraic group, geometrically reductive      46
Algebraic group, linear      37
Algebraic group, linearly reductive      44
Algebraic group, radical of      45
Algebraic group, reductive      46
Algebraic observability      99
Algebraically canonical system      100
Associated sheaf      11
Blending problem      136
Braid group      110
Brunovsky canonical form      123
Canonical realization      33 91
Canonical system      33 91
Cauchy index      105
Causality      100
Cech cocycle      12
Coarse moduli space      39
Cocycle condition      12 14
Coefficient assignability      130
Concatenation      19 78
Connection      28
Constant sheaf      11
Constructibility      24
Constructible set      9
Control canonical form      27 69
Controllability      22
Coordinate ring      6
Covariant differential operator      28
Covering space      109
Cyclic section      30
Differential equation of order n      29—30
Differential equation of order n, solution of      30
Dimension of variety      8
Divisor      113
Dual bundle      12
Dual system      93
Dynamic output feedback      133
Dynamical system      18
Dynamical system in input/output or external sense      19
Dynamical system, constant      21
Dynamical system, continuous      20
Dynamical system, discrete      20
Dynamical system, finite dimensional      21
Dynamical system, linear      20
Dynamical system, smooth      20
Dynamical system, time-invariant      21
Equilibrium point      97 119
Equilibrium point, asymptotically stable      120
Equilibrium point, stable      120
Event space      19
Family of deformations      67
Family of endomorphisms      38
Family of systems      55 63 89
Fatou ring      92
Feedback equivalence      126
Field of definition      16
Fine moduli space      39
Free system      26
Fuhrmann realization      86
Function field      8
Fundamental group      109
Gain factor      143
Gain matrix      133
Geometric quotient      44
Geometric quotient, universal      62
Graded ring      4
Grassmann variety      14
Hankel matrix      81 91
Hermann — Martin bundle      125
Hermann — Martin map      124
Hilbert's 14th problem      45
Homogeneous coordinate ring      7
Homogeneous coordinates      4
Homogenized pencil      125
Homotopy      108
Horizontal section      28
Hurwitz polynomial      120
Identification theory      104
Iitpulse/response sequence      81
Impulse/response function      34
Input function      18
Input values      18
Input/output map      19
Input/output map, constant causal      100
Input/output map, discrete time constant linear      77
Input/output map, polynomial      101
Interlacing property      144
Irreducible      2
Jacobson radical      96
Jump point      89
k-ideal      96
K-rational point      16
k-topology      17
Kalman realization      79
Kronecker indices      68
Kronecker nice selection      68
Laplace transform      32
Left coprime factorization      85
Length of input sequence      77
Local holomorphic canonical form      67
Local moduli space      67
Local system      28
Locally closed      9
Loop space      115
Lyapunov function      121
McMillan degree      33 107
Minimal partial realization      87
Minimal realization      80
Morphism      6 97
Morphism, dominating      103
Morphism, projective      53
Mumford conjecture      46
n-th homotopy group      109
Nerode equivalence      78
Nevanlinna interpolation      139—142
Nevanlinna-Pick matrix      142
Nice selection      52
Nilradical      96
Observability      25 91 99
Observation algebra      99
Output feedback transformation      133
Output functions      18
Output values      18
Pade approximation      87
Partial Hankel matrix      88
Partial realization      76 87
Pencil of matrices      125
Pluecker map      15
Pole assignability      130
Polynomial response map      101
Polynomial system      97
Pre-stable point      52
Presheaf      10
Principal bundle      15
Projective space      3
Projective variety      4
Quasi-affine variety      2
Quasi-projective variety      4
Quasi-reachability      98
Quotient      43
r-jet      29
Radical      2 97
Rational action      44
Rational canonical form      27
Rational function      8
Reachability      22 91 98
Readout map      19
Realization      19 33 35 77 81 84 91 102
Reduced k-algebra      11 97
Regular map      6 97
Relative homotopy group      110
Representable functor      39
Residue      86
Response map      101
Richardson's criterion      46
Riemann surface      28
Right coprime factorization      85
Routh criterion      120
Scheme      3 97
Section      10 13
Serre conjecture      13
Sheaf      10
Sheaf of modules      11
Sheaf, locally free      11
Shift operator      21 77 86
Signature      106
Split family      95
Split system      93
Stalk      10
State feedback      122
State module      90
State set      18
State space form      26
State transition function      19
Stein space      137
Strict equivalence      127
Structure sheaf      10
System over a ring      21 90
Tangent space      12
time set      18
Transfer function      33
Transfer function, strictly proper      33 84
Transition matrix      25
Unimodular      85
Universal bundle      60
Universal covering      110
Universal family      55
Universal quotient bundle      61
Universal subbundle      61
Vector bundle      11
Vector bundle, fiber of      12
Vector bundle, trivial      13
Versal family of deformations      67
Versal morphism      66
Volterra series      100
Zariski topology      1 5 97
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