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This paper presents new sufficient conditions for exponential stability of switched linear systems under arbitrary switching, which involve the commutators (Lie brackets) among the given matrices generating the switched system. The main novel feature of these stability criteria is that, unlike their earlier counterparts, they are robust with respect to small perturbations of the system parameters...
This paper is about controller design for switched linear systems with input signals. The synthesis problem of how to design the individual feedback gains and how to switch among the individual closed-loop feedback systems such that the switched system becomes (exponentially) stable, is constructively formulated as a bilinear matrix inequality problem. By using multiple quadratic Lyapunov functions,...
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