Perturbation of linear control systems

DOI10.1016/0024-3795(89)90710-6zbMath0677.93027OpenAlexW2086967783MaRDI QIDQ1123849

Inmaculada de Hoyos, Zaballa, I., Juan-Miguel Gracia

Publication date: 1989

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(89)90710-6

zbMATH Keywords

controllability indicestime-invariantJordan structure

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Controllability (93B05) Linear systems in control theory (93C05) Canonical structure (93B10) Control/observation systems governed by ordinary differential equations (93C15)

Related Items

Similarity and block similarity, Computation and presentation of graphs displaying closure hierarchies of Jordan and Kronecker structures, The change of feedback invariants under one row perturbation, Stratification of full rank polynomial matrices, Realizations of perturbations of an observable pair with prescribed indices, Canonical form associated with the problem of perturbation of one column of a controllable pair, Nearest rank deficient matrix polynomials, The change of similarity invariants under row perturbations, Nearest Matrix Polynomials With a Specified Elementary Divisor, The change of feedback invariants under column perturbations: particular cases, Structured perturbation of the Brunovsky form: a particular case, Global analytic block similarity to a Brunovsky form, Versal deformation of realisable Markov parameters, The change of the Brunovsky structure of a controllable pair under one column perturbation in a particular case, On a homeomorphism between orbit spaces of linear systems and matrix polynomials, Regularity of the Kronecker stratification of realisable Markov parameters, The algebraic structure of pencils and block Toeplitz matrices, Miniversal deformations of observable marked matrices, Invariants of the block tensor product

Cites Work

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• Inertia characteristics of self-adjoint matrix polynomials
• On matrix functions which commute with their derivative
• Analytic perturbation theory for matrices and operators. Licensed ed
• Matrices with prescribed rows and invariant factors
• Interlacing inequalities and control theory
• Semi-stability of sums of partial multiplicities under additive perturbation
• A Generalization of a Theorem of Bôcher
• Inequalities: theory of majorization and its applications
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