A criterion for structural stability of quadruples of matrices defining generalized dynamical systems

DOI10.1016/S0167-6911(00)00048-7zbMath0985.93008MaRDI QIDQ1583473

Maria Isabel García-Planas, M. Dolors Magret

Publication date: 26 October 2000

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

structural stabilityequivalence relationLie group actiontangent spacemultivariable linear system

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Implicit ordinary differential equations, differential-algebraic equations (34A09) Transformations (93B17) Generic properties, structural stability of dynamical systems (37C20) Topological dynamics of nonautonomous systems (37B55)

Related Items (2)

Dimension of orbits of linear time-invariant singular systems under restricted system equivalence ⋮ Estimating distances from quadruples satisfying stability properties to quadruples not satisfying them

Cites Work

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• Deformation and stability of triples of matrices
• Inertia characteristics of self-adjoint matrix polynomials
• Invariance and system theory: algebraic and geometric aspects
• Topological classification and structural stability of linear systems
• ON MATRICES DEPENDING ON PARAMETERS

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