Decay rates for stabilization of linear continuous-time systems with random switchingReport as inadecuate




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1 Institut für Mathematik Augsburg 2 LM-Orsay - Laboratoire de Mathématiques d-Orsay

Abstract : For a class of linear switched systems in continuous time a controllability condition implies that state feedbacks allow to achieve almost sure stabilization with arbitrary exponential decay rates. This is based on the Multiplicative Ergodic Theorem applied to an associated system in discrete time.

Keywords : random switching almost sure stabilization arbitrary rate of convergence Lyapunov exponents persistent excitation Multiplicative Ergodic Theorem





Author: Fritz Colonius - Guilherme Mazanti -

Source: https://hal.archives-ouvertes.fr/



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