## Linear SystemsA self-contained, highly motivated and comprehensive account of basic methods for analysis and application of linear systems that arise in signal processing problems in communications, control, system identification and digital filtering. |

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very good book

### Contents

BACKGROUND MATERIAL | 1 |

InitialValue Theorem | 8 |

and InputOutput Relations | 14 |

Copyright | |

15 other sections not shown

### Common terms and phrases

algebraic applications arbitrary assume basis block calculation called canonical form characteristic choose clearly coefficients column combination computed consider constant controllability coprime corresponding course defined definition dependent described descriptions determine differential direct discussion eigenvalues eigenvectors elements equal equations equivalent Example Exercise exists fact feedback Figure formula give given IEEE important impulse independent indices initial input integrator invariant irreducible Lemma linear Linear Systems matrix method minimal modes multivariable natural nonsingular observer obtain operations optimal original output poles polynomial polynomial matrices problem proof proper properties prove rank reader realization reduced refer relation response roots scalar Show shown similarity simple solution space stability state-space Suppose Theorem theory tion Trans transfer function transformation unique variables vector write zero