On input–to–state stability analysis of discrete–time systems via finite–time Lyapunov functions

Autor:	Bobiti, R.V., Lazar, M., Boje, E., Xia, X.
Přispěvatelé:	Control Systems, Control of high-precision mechatronic systems, Constrained Control of Complex Systems, Dynamic Networks: Data-Driven Modeling and Control
Rok vydání:	2014
Předmět:	Lyapunov function symbols.namesake Discrete time and continuous time Control theory Stability theory symbols Lyapunov optimization Lyapunov equation Lyapunov exponent Lyapunov redesign Mathematics Control-Lyapunov function
Zdroj:	Proceedings of the 19th IFAC World Congress of the International Federation of Automatic Control, (IFAC'14), 24-29 August 2014, Cape Town, South Africa, 8623-8628 STARTPAGE=8623;ENDPAGE=8628;TITLE=Proceedings of the 19th IFAC World Congress of the International Federation of Automatic Control, (IFAC'14), 24-29 August 2014, Cape Town, South Africa
ISSN:	1474-6670
Popis:	This paper considers the problem of inherent robustness analysis for nonlinear discrete–time systems using the concept of a finite–time Lyapunov function. The main contribution is to prove that, for sufficiently continuous dynamics and finite–time Lyapunov functions, inherent global input–to–state stability to general disturbances can be established for nominally stable nonlinear systems. Moreover, under mere continuity of the finite–time Lyapunov function and of the dynamics, inherent input–to–state stability on a compact set is obtained.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::52e90177f91f59013a7b0915c5642d91 https://doi.org/10.3182/20140824-6-za-1003.02358 Zobrazit plný text záznamu