On the stability of continuous-time positive switched systems with rank one difference

• Autorzy: Fornasini E. , Valcher M. E.
• Języki publikacji: EN

Abstrakty

EN

Continuous-time positive systems, switching among p subsystems whose matrices differ by a rank one matrix, are introduced, and a complete characterization of the existence of a common linear copositive Lyapunov function for all the subsystems is provided. Also, for this class of systems it is proved that a well-known necessary condition for asymptotic stability, namely the fact that All convex combinations of the system matrices are Hurwitz, becomes equivalent to the generally weaker condition that the systems matrices are Hurwitz. In the special case of two-dimensional systems, this allows for drawing a complete characterization of asymptotic stability. Finally, the case when there are only two subsystems, possibly with commuting matrices, is investigated.

Słowa kluczowe

EN

switched system; positive linear system; asymptotic stability; linear copositive Lyapunov function quadratic Lyapunov function

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2013
• Tom: Vol. 42, no. 1
• Strony: 47--62
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Fornasini E.

• Dipartimento di Ingegneria dell’Informazione, Universitá di Padova, via Gradenigo 6/B, 35131 Padova, Italy

autor

Valcher M. E.

• Dipartimento di Ingegneria dell’Informazione, Universitá di Padova, via Gradenigo 6/B, 35131 Padova, Italy

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