Decay rates for stabilization of linear continuous-time systems with random switching.

Colonius, Fritz; Mazanti, Guilherme

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. This result is related to the stabilizability problem for linear persistently excited systems.

DECAY rates (Radioactivity); CONTROLLABILITY in systems engineering; ERGODIC theory

Mathematical Control & Related Fields, 2019, Vol 9, Issue 1, p39

2156-8472

Academic Journal

10.3934/mcrf.2019002