Stability and robustness of planar switching linear systems

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    2 Citations (Scopus)

    Abstract

    This paper presents a decision algorithm for the analysis of the stability of a class of planar switched linear systems, modeled by hybrid automata. The dynamics in each location of the hybrid automaton is assumed to be linear and asymptotically stable; the guards on the transitions are hyperplanes in the state space. We show that for every pair of an ingoing and an outgoing transition related to a location, the exact gain in the norm of the vector induced by the dynamics in that location can be computed. These exact gains are used in defining a gain automaton which forms the basis of an algorithmic criterion to determine if a planar hybrid automaton is stable or not.
    Original languageUndefined
    Pages (from-to)904-910
    Number of pages7
    JournalSystems and control letters
    Volume61
    Issue number9
    DOIs
    Publication statusPublished - Sep 2012

    Keywords

    • MSC-93C30
    • MSC-93D20
    • Stability
    • Switched system
    • Hybrid System
    • METIS-296150
    • IR-82302
    • Automaton
    • EWI-22590

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