## Analysis of discrete physical systems |

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### Contents

Systems Concepts and the First Postulate | 1 |

Mathematical Models of Typical Twoterminal Components | 40 |

Mathematical Models of Multiterminal Components | 68 |

Copyright | |

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asymptotically stable axis characteristic polynomial chords circuit equations coefficient matrix column complex connected graph Consider constant constituent matrices contains curve cut-set equations defined derivative Determine diagram differential equations drivers edges corresponding eigenvalues electrical network entries established evaluated Example excitation vector expansion follows Fourier series frequency frequency-response characteristics fundamental circuit fundamental cut-set given in Eq given in Fig graph G homogeneous hydraulic identified incidence matrix indicated in Fig input interval inverse Laplace transform linear systems minimal polynomial nonlinear nonsingular obtained output parameters phase angle plane plot positive definite quadratic form rational function represent response characteristics s-domain scalar schematic shown in Fig signal-flow graph signals sinusoidal solution square matrix stability steady-state subassembly subgraph Substituting Eq symmetric symmetric matrix system graph terminal equations terminal graph terminal variables Theorem three-terminal tion transfer function two-terminal components vertex vertices voltage written XrAX zero