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2014 | 24 | 2 | 341-355
Tytuł artykułu

Local analysis of hybrid systems on polyhedral sets with state-dependent switching

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper deals with stability analysis of hybrid systems. Various stability concepts related to hybrid systems are introduced. The paper advocates a local analysis. It involves the equivalence relation generated by reset maps of a hybrid system. To establish a tangible method for stability analysis, we introduce the notion of a chart, which locally reduces the complexity of the hybrid system. In a chart, a hybrid system is particularly simple and can be analyzed with the use of methods borrowed from the theory of differential inclusions. Thus, the main contribution of this paper is to show how stability of a hybrid system can be reduced to a specialization of the well established stability theory of differential inclusions. A number of examples illustrate the concepts introduced in the paper.
Rocznik
Tom
24
Numer
2
Strony
341-355
Opis fizyczny
Daty
wydano
2014
otrzymano
2013-04-10
poprawiono
2013-11-11
Twórcy
autor
  • Department of Electronic Systems, Automation and Control, Aalborg University, Fredrik Bajers Vej 7 C, 9220 Aalborg East, Denmark
  • Department of Electronic Systems, Automation and Control, Aalborg University, Fredrik Bajers Vej 7 C, 9220 Aalborg East, Denmark
Bibliografia
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  • Leth, J. and Wisniewski, R. (2012). On formalism and stability of switched systems, Journal of Control Theory and Applications 10(2): 176-183.
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  • Simić, S.N., Johansson, K.H., Lygeros, J. and Sastry, S. (2005). Towards a geometric theory of hybrid systems, Dynamics of Continuous, Discrete & Impulsive Systems B: Applications & Algorithms 12(5-6): 649-687.
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Typ dokumentu
Bibliografia
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