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Intro
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Feedback Control of Hybrid Dynamical Systems
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- 1 Intro
- 2 Scope of Hybrid Systems Research
- 3 Motivation and Approach Common features in applications
- 4 Recent Contributions to Hybrid Systems Theory Autonomous Hybrid Systems
- 5 Related Work A (rather incomplete) list of related contributions: Differential equations with multistable elements
- 6 A Genetic Network Consider a genetic regulatory network with two genes (A and B). each encoding for a protein
- 7 The Boost Converter
- 8 Modeling Hybrid Systems A wide range of systems can be modeled within the framework Switched systems Impulsive systems
- 9 General Control Problem Given a set A and a hybrid system H to be controlled
- 10 Lyapunov Stability Theorem Theorem
- 11 Hybrid Basic Conditions The data (C1,D, 9) of the hybrid system
- 12 Sequential Compactness Theorem Given a hybrid system satisfying the hybrid basic conditions, let
- 13 Invariance Principle Lemma Letz be a bounded and complete solution to a hybrid system H satisfying the hybrid basic conditions. Then, its w-limit set
- 14 Other Consequences of the Hybrid Basic Conditions
- 15 Back to Boost Converter
- 16 Conclusion Introduction to Hybrid Systems and Modeling Hybrid Basic Conditions and Consequences
