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INTRODUCTION to SWITCHED and HYBRID SYSTEMS

INTRODUCTION to SWITCHED and HYBRID SYSTEMS. Daniel Liberzon. Coordinated Science Laboratory and Dept. of Electrical & Computer Eng., Univ. of Illinois at Urbana-Champaign. SWITCHED and HYBRID SYSTEMS. thermostat. walking. electric circuit. stick shift. cell division.

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INTRODUCTION to SWITCHED and HYBRID SYSTEMS

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  1. INTRODUCTION to SWITCHED and HYBRID SYSTEMS Daniel Liberzon Coordinated Science Laboratory and Dept. of Electrical & Computer Eng., Univ. of Illinois at Urbana-Champaign

  2. SWITCHED and HYBRID SYSTEMS thermostat walking electric circuit stick shift cell division Hybrid systems combine continuous and discrete dynamics Which practical systems are hybrid? Which practical systems are not hybrid? More tractable models of continuous phenomena

  3. MODELS of HYBRID SYSTEMS … continuous discrete [Van der Schaft–Schumacher ’00] [Proceedings of HSCC] [Nešić–L ‘05]

  4. SWITCHED vs. HYBRID SYSTEMS Switched system: • is a family of systems • is a switching signal Switching can be: • State-dependent or time-dependent • Autonomous or controlled Discrete dynamics classes of switching signals Properties of the continuous state Details of discrete behavior are “abstracted away” : stability and beyond

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