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Communication Dans Un Congrès Année : 2013

Necessary and sufficient conditions for invariance of convex sets for discrete-time saturated systems

Résumé

A convex analysis-based characterization of invariance and contractivity of compact convex sets for discrete-time saturated systems is presented. Necessary and sufficient conditions for the existence of convex set-induced Lyapunov functions is provided. The results generalize the quadratic Lyapunov theory for saturated systems, apply also to asymmetric saturations and can be extended to affine nonlinearity maps. A numerical example illustrates the improvements of our method with respect to other classical ones.
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Dates et versions

hal-00920892 , version 1 (19-12-2013)

Identifiants

  • HAL Id : hal-00920892 , version 1

Citer

Mirko Fiacchini, Christophe Prieur, Sophie Tarbouriech. Necessary and sufficient conditions for invariance of convex sets for discrete-time saturated systems. CDC 2013 - 52nd IEEE Conference on Decision and Control, Dec 2013, Florence, Italy. pp.n/c. ⟨hal-00920892⟩
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