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

• Autorzy: Leth J. , Wisniewski R.

Identyfikatory

DOI

10.2478/amcs-2014-0026

• 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.

Słowa kluczowe

EN

stability analysis; switched system; hybrid system; differential inclusion

PL

badanie stabilności; układ hybrydowy; inkluzja różniczkowa

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2014
• Tom: Vol. 24, no. 2
• Strony: 341--355
• Opis fizyczny: Bibliogr. 34 poz., rys.

Twórcy

autor

Leth J.

• Department of Electronic Systems, Automation and Control, Aalborg University, Fredrik Bajers Vej 7 C, 9220 Aalborg East, Denmark

autor

Wisniewski R.

• Department of Electronic Systems, Automation and Control, Aalborg University, Fredrik Bajers Vej 7 C, 9220 Aalborg East, Denmark

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