## Analysis and Synthesis of Linear Time-varying Automatic Control Systems, Volume 1 |

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### Contents

REVIEW OF ANALYSIS AND SYNTHESIS PROCE | 14 |

THE LINEAR TIMEVARYING SYSTEM AS CHAR | 28 |

Linear Differential Equation Variation | 32 |

9 other sections not shown

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### Common terms and phrases

A-matrix an(t analysis and synthesis approximate solutions aQ(t automatic control systems basis functions Chapter characterized by linear compatible transform defined denotes derivative determining the response difference equation differential equation characterizing equation 9.1 equations with periodic equations with time-varying Floquet theory forcing function fundamental matrix given in equation Green's function Hill's equation homogeneous equation impulsive response indicial equation initial conditions integral transform iterative method Laplace transform linear differential equation linear systems linear time-varying sampled-data linear time-varying systems Lyapunov function Mathieu equation matrix equation Mellin transform method of solution nonhomogeneous equation nonhomogeneous linear differential obtained periodic coefficients physical system procedure response of systems Rudnitskii set of basis solution of equation solving Substituting from equation superposition integral synthesis of linear system of Figure systems characterized theorem thesis time-invariant time-varying coefficients time-varying sampled-data systems tion unit impulse values vn(t written Wronskian yields Zadeh's system function zero