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In this paper we discuss the enlargement of the Domain of Attraction (DA) of nonlinear hybrid system. Combination of LMI with Genetic Algorithms (GA) results in a sufficient enlargement of DA. A common Lyapunov function is estimated by the GA and a lower bound is computed by LMI optimization. The proposed approach is validated by a switched van der Pool system.
In this paper we consider the problem of the stability of switched nonlinear systems. We use an optimization strategy based on Linear Matrix Inequality (LMI) and a genetic algorithm (GA), to compute the region of attraction of each subsystem. The feedback control will be designed to guarantee global stability by means the multiply Lyapunov functions under a switching signal. The implementation and...
Stability of nonlinear systems is a problem of fundamental importance in system engineering. Specifically, the computation of a Lyapunov function which presents one of the tools for study the stability of nonlinear systems. The objective of this work is to study the Lyapunov approaches of polynomial systems. These approaches have been investigated in order to develop numerical algorithms based on...
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