## Nonlinear Systems: Control 3Nonlinear Systems is divided into three volumes. The first deals with modeling and estimation, the second with stability and stabilization and the third with control. This three-volume set provides the most comprehensive and detailed reference available on nonlinear systems. Written by a group of leading experts in the field, drawn from industry, government and academic institutions, it provides a solid theoretical basis on nonlinear control methods as well as practical examples and advice for engineers, teachers and researchers working with nonlinear systems. Each book focuses on the applicability of the concepts introduced and keeps the level of mathematics to a minimum. Simulations and industrial examples drawn from aerospace as well as mechanical, electrical and chemical engineering are given throughout. |

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### Contents

Volume | 1 |

Preface V | 5 |

Bondgraph modeling of physical systems | 33 |

Copyright | |

19 other sections not shown

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### Common terms and phrases

approach approximation asymptotic stability change of coordinates closed-loop system compute constant continuous-time control continuous-time system control at first-order control scheme Control Systems coordinate frame corresponding decoupled system decoupling feedbacks decoupling matrix defined Definition denoted diffeomorphism diffeomorphism and feedback differential equations dimension discrete-time feedback distributions dynamic compensator dynamic feedback equal equilibrium point equilibrium set equivalent example exists feedback law feedback linearizable Figure Fliess function given graph Hilbert polynomial input input-state integration invertible involutive Isidori lemma Levine Lie brackets Lie derivative linear analytic linear control linear system linear tangent model linearized model magnetic bearing mass flow rate minimum phase Monaco multirate neighborhood nonlinear systems obtained operating point output parameter partial differential equations perturbation problem Proc rank relative degree Remark Rouchon sampling instants satisfy singular solution space stability static feedback static state feedback structure theorem time-scale torque transformations unobservable vector fields xd(k zero dynamics