An extension of the invariance principle for switched nonlinear systems | IEEE Conference Publication | IEEE Xplore

An extension of the invariance principle for switched nonlinear systems


Abstract:

In this paper, we propose an extension of the invariance principle for switched systems under dwell-time switched solutions. Our approach allows the derivative of an auxi...Show More

Abstract:

In this paper, we propose an extension of the invariance principle for switched systems under dwell-time switched solutions. Our approach allows the derivative of an auxiliary function V along the solutions of the switched system to be positive on some bounded sets. The auxiliary function V, which plays the role of a Lyapunov function, is called a Lyapunov-like function in this paper. Our results are useful to estimate attractors of switched systems and basins of attraction. Results for a common Lyapunov-like function and multiple Lyapunov-like functions are given. Illustrative examples show the potential of the theoretical results in providing concrete information on the asymptotic behavior of nonlinear dynamical switched systems.
Date of Conference: 12-15 December 2011
Date Added to IEEE Xplore: 01 March 2012
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Conference Location: Orlando, FL, USA

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