## Impulsive and Hybrid Dynamical Systems: Stability, Dissipativity, and ControlThis book develops a general analysis and synthesis framework for impulsive and hybrid dynamical systems. Such a framework is imperative for modern complex engineering systems that involve interacting continuous-time and discrete-time dynamics with multiple modes of operation that place stringent demands on controller design and require implementation of increasing complexity--whether advanced high-performance tactical fighter aircraft and space vehicles, variable-cycle gas turbine engines, or air and ground transportation systems. |

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### Contents

1 | |

9 | |

Dissipativity Theory for Nonlinear Impulsive Dynamical Systems | 81 |

Impulsive Nonnegative and Compartmental Dynamical Systems | 125 |

Vector Dissipativity Theory for LargeScale Impulsive Dynamical Systems | 147 |

Stability and Feedback Interconnections of Dissipative Impulsive Dynamical Systems | 191 |

EnergyBased Control for Impulsive PortControlled Hamiltonian Systems | 221 |

Energy and EntropyBased Hybrid Stabilization for Nonlinear Dynamical Systems | 249 |

Disturbance Rejection Control for Nonlinear Impulsive Dynamical Systems | 351 |

Robust Control for Nonlinear Uncertain Impulsive Dynamical Systems | 385 |

Hybrid Dynamical Systems | 411 |

Poincaré Maps and Stability of Periodic Orbits for Hybrid Dynamical Systems | 443 |

System Functions for the Clock Escapement Mechanism | 477 |

485 | |

501 | |

Optimal Control for Impulsive Dynamical Systems | 319 |