Stability of equilibria of some switched non-linear systems with applications to control synthesis for electrohydraulic servomechanisms

Stability of the zero solution is analyzed for a family of switched systems indexed by a parameter, each system having λ = 0 in the spectrum of the Jacobian matrix calculated in zero. It is proved that existence of a common quadratic Lyapunov function for some lower dimensional linear systems is suf...

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Veröffentlicht in:	IMA journal of applied mathematics 2009-06, Vol.74 (3), p.361-373
Hauptverfasser:	Halanay, A., Ursu, I.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Algebraic geometry common quadratic Lyapunov function Exact sciences and technology Global analysis, analysis on manifolds Hurwitz matrix Lyapunov stability Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical linear algebra Operator theory Sciences and techniques of general use switched system Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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