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Hybrid linear systems stability and performance are analysed in the context of semidefinite programming with conditions expressed by LMIs. First, new convex conditions for the global asymptotic stability of the origin are presented. These conditions are then generalised to provide a unified convex characterisation of performance for stable hybrid linear systems involving measures similar to ℋ2 and...
This paper analyses discrete-time switched systems in which a control engineer designs each mode so that performance guarantees are met. Given this setting, our objective is then to identify the set of mode transitions so that stability is guaranteed under arbitrary switching. Namely, our specific objective is to identify the stability graph associated with a given switching system. These systems...
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