Index

Absolute correction, 159–169, 281, 282. See also Absolute transfer function; Scalar regulator

Absolute pole

circulant and anticirculant system, 64

open-loop MIMO system, 6, 8, 10, 84, 158

uniform system, 41, 90

Absolute stability

equilibrium point, 285

forced motions, 323

necessary and sufficient conditions, 301

sufficient condition

SISO case, 285

MIMO case, 288

Absolute transfer function, 157, 158, 278–281. See also Scalar regulator

Absolute zero

general MIMO system, 6–10, 16, 84, 158

uniform system, 41, 90

Absolutely stable MIMO system, 324

Adjoint matrix, 9

Algebraic functions, 35, 49, 65, 75–78

discriminant of, 78

Algebraic multiplicity of a pole, 6, 8, 35

Angle between two vectors, 12

Angles of asymptotes of multivariable root loci

circulant system, 95

general MIMO system, 79

uniform systems, 91

Angles of departure and arrival of multivariable root loci, 81

Anticirculant

MIMO system, 62

antisymmetrical, 64

simple antisymmetrical, 64

matrix, 62

permutation matrix, 62

proper orthogonality, 62

Anticirculant regulator, 162

Antisymmetrical

cross-connections, 39, 66

matrix, 53, 64

system, two-dimensional, 64

Aizerman’s hypothesis, generalized, 301

Asymptotical stability, 284, 285

Average motion, 57, 58, 221. See also Transfer function of the average motion

Axially-symmetrical body, 65

Balancing of channels, 161, 278

Bandwidth, 156

Basic perturbation model, 111

Basis

canonical, 11

dual, 12

reciprocal, 12

input singular, 32, 34. See also Singular basis

left singular, 32, 34 ...

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