Stabilizability of linear switching systems

• Published in: Nonlinear analysis. Hybrid systems Vol. 2; no. 3; pp. 750 - 764
• Main Authors: De Santis, E., Di Benedetto, M.D., Pola, G.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.08.2008
• Subjects: Hybrid systems; Kalman decomposition; Linear switching systems; Lyapunov functions; Stabilizability; Stabilizability; Hybrid systems; Lyapunov functions; Kalman decomposition; Linear switching systems

A complete characterization of stabilizability for linear switching systems is not available in the literature. In this paper, we show that the asymptotic stabilizability of linear switching systems is equivalent to the existence of a hybrid Lyapunov function for the controlled system, for a suitabl...