NDLI: Componentwise bounds and invariant sets for switched systems with nonlinear delayed-state-dependent perturbations

Content Provider	IEEE Xplore Digital Library
Author	Haimovich, H. Seron, M.M.
Copyright Year	2011
Description	Author affiliation: Centre for Complex Dynamic Systems and Control, The University of Newcastle, Callaghan, NSW 2308, Australia (Seron, M.M.) \|\| CONICET and Departamento de Control, Escuela de Ing. Electrónica, Universidad Nacional de Rosario, Riobamba 245bis, 2000, Argentina (Haimovich, H.)
Abstract	We present a novel method to compute componentwise transient bounds, componentwise ultimate bounds, and invariant regions for switched continuous-time linear systems with perturbation bounds that may depend nonlinearly on a delayed state. The main advantage of the method is its componentwise nature, i.e. the fact that it allows each component of the perturbation vector to have an independent bound and that the bounds and sets obtained are also given componentwise. This componentwise method does not employ a norm for bounding either the perturbation or state vectors, and thus may avoid conservativeness due to different perturbation or state vector components having substantially different bounds. We give conditions for the derived bounds to be of local or semiglobal nature. In addition, we deal with the case of perturbation bounds that depend linearly on a delayed state as a particular case of the nonlinear dependence for which the bounds derived are shown to be globally valid. A novel sufficient condition for practical stability is also provided.
Starting Page	20
Ending Page	25
File Size	210380
Page Count	6
File Format	PDF
ISBN	9781424492459
e-ISBN	9780858258846
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-11-10
Publisher Place	Australia
Access Restriction	Subscribed
Rights Holder	ENGINEERS AUSTRALIA & AUSTRALIAN OPTICAL
Subject Keyword	Linear systems Switched systems Switches Vectors Stability analysis Transient analysis Lyapunov methods
Content Type	Text
Resource Type	Article

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