Group and Total Dissipativity and Stability of Multi-Equilibria Hybrid Automata

E. M. Navarro-Lopez, Dina Shona Laila

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    23 Citations (Scopus)
    39 Downloads (Pure)


    Complex systems, which consist of different interdependent and interlocking subsystems, typically have multiple equilibrium points associated with different set points of each operation mode. These systems are usually interpreted as hybrid systems. This paper studies the conditions for dissipativity and some stability properties of a class of hybrid systems with multiple co-existing equilibrium points, modelled as nonlinear hybrid automata. A classification of equilibria for hybrid automata is proposed. The objective is to identify dissipative components as groups of discrete locations within the hybrid automaton, formed according to existing equilibria. An example is provided.
    Original languageEnglish
    Pages (from-to)3196-3202
    JournalIEEE Transactions on Automatic Control
    Issue number12
    Publication statusPublished - 1 May 2013

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    • hybrid automata
    • Computational methods
    • control systems
    • dissipativity theory
    • energy control
    • interdependent subsystems
    • complex systems
    • multiequilibria hybrid automata stability properties
    • group dissipativity
    • total dissipativity
    • discrete location
    • dissipative component identification
    • nonlinear hybrid automata
    • multiple coexisting equilibrium points
    • operation mode
    • interlocking subsystems
    • stability
    • automata theory
    • large-scale systems
    • nonlinear control systems
    • Automata
    • Stability analysis
    • Switches
    • Asymptotic stability
    • Predictive control
    • Linear systems


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