## Network Analysis and Synthesis: A Modern Systems Theory ApproachGeared toward upper-level undergraduates and graduate students, this book offers a comprehensive look at linear network analysis and synthesis. It explores state-space synthesis as well as analysis, employing modern systems theory to unite the classical concepts of network theory. The authors stress passive networks but include material on active networks. They avoid topology in dealing with analysis problems and discuss computational techniques. The concepts of controllability, observability, and degree are emphasized in reviewing the state-variable description of linear systems. Explorations of positive real and bounded real functions and matrices include their applications to optimal control, filtering, and stability. Excellent illustrations highlight this text, which represents the definitive tool for integrating an understanding of network theory with related fields such as control theory and communication systems theory. |

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### Contents

Part BACKGROUND NFORMATIONNETWORKS | 9 |

Part NETWORK ANALYSIS | 138 |

Part V THE STATESPACE DESCRIPTION | 213 |

Copyright | |

7 other sections not shown

### Other editions - View all

Network Analysis and Synthesis: A Modern Systems Theory Approach Brian D. O. Anderson,Sumeth Vongpanitlerd No preview available - 2006 |

### Common terms and phrases

arbitrary bounded real lemma capacitors completely controllable completely observable compute deﬁned eigenvalues eigenvalues of F entries excitation variables exists ﬁnd ﬁnite ﬁrst follows gyrators hybrid matrix impedance matrix inductors input linear lossless bounded real lossless positive real matrix Z(s minimal realization minimum number network synthesis network theory nonnegative deﬁnite nonreciprocal nonsingular nonsingular matrix normal rank number of reactive number of resistors obtained orthogonal orthogonal matrix pole polynomial positive real impedance positive real lemma positive real matrix positive real Z(s possesses prescribed problem of synthesizing rational functions reactance reactance-extraction reactive elements real lemma equations real rational realization F realization of Z(s reciprocal synthesis result Riccati equation satisﬁes scalar scattering matrix solution solving spectral factor state-space equations state-space realization symmetric matrix synthesis of Z(s synthesis problem synthesis procedure terminated Theorem tion transfer function transfer-function matrix transformer V V V vector W(oo Z(oo zero