An Introduction to the Theory of Linear Systems

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CONTENTS Preface Fundamental Concepts and Definitions State Equations Time Invariance, Linearity and Basis Functions Canonical Formulation Solutions to the Canonical Equations Controllability, Observability and Stability Statistical Systems-Signals in Noise Quantized Systems-Perturbation Theory and State Transitions Appendices Dirac Delta Function and the Unit Impulse — Resolution of Continuous-Time Signals into Unit Impulses — Discrete-Time State Equations — Z Transforms — Analogous Quantities of Continuous-Time and Discrete-Time Systems — Stochastic Processes Bibliography Index