NDLI: Relaxed stabilizability conditions for hybrid linear systems on periodic time domains

Content Provider	IEEE Xplore Digital Library
Author	Galeani, S. Sassano, M. Valmorbida, G.
Copyright Year	2015
Description	Author affiliation: Control Group, Department of Engineering Science, University of Oxford, 17 Parks Road, OX1 3PJ, United Kingdom (Valmorbida, G.) \|\| Dipartimento di Ingegneria Civile e Ingegneria Informatica, Università degli Studi di Roma “Tor Vergata”, Via del Politecnico 1, 00133, Italy (Galeani, S.; Sassano, M.)
Abstract	In this paper, we consider the problem of designing stabilizing feedback control laws for hybrid linear systems defined on periodic time domains. In this context, requiring the existence of a Lyapunov function decreasing simultaneously along flow and jump dynamics is a rather conservative condition. We propose then relaxed conditions for analysis and design that allow to systematically redistribute negativity of a candidate Lyapunov function between the continuous-time and the discrete-time compo- nents. Interestingly, such redistribution is performed dynamically by suitably assigning the behavior over the time interval of a time-varying component of the function. Finally, it is shown that the latter selection, in the design scenario, may be recast in terms of a reachability problem for a LTI extended system.
Starting Page	2859
Ending Page	2864
File Size	173566
Page Count	6
File Format	PDF
e-ISBN	9781479978861
DOI	10.1109/CDC.2015.7402650
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-12-15
Publisher Place	Japan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Lyapunov methods Time-domain analysis Linear systems Context Control theory Stability Boundary value problems Lyapunov Stability Periodic Hybrid Linear Systems
Content Type	Text
Resource Type	Article

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