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Linear systems : a state variable approach with numerical implementation

Author: Raymond A DeCarlo
Publisher: Englewood Cliffs, N.J. : Prentice Hall, ©1989.
Edition/Format:   Print book : EnglishView all editions and formats
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Genre/Form: Aufgabensammlung
Additional Physical Format: Online version:
DeCarlo, Raymond A., 1950-
Linear systems.
Englewood Cliffs, N.J. : Prentice Hall, ©1989
(OCoLC)752444026
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Raymond A DeCarlo
ISBN: 0135368146 9780135368145 0135368480 9780135368480
OCLC Number: 18907624
Description: xv, 495 pages : illustrations ; 25 cm
Contents: Basic concepts, vocabulary, and notation --
State models-motivation and overview --
Linear state models for lumped systems --
State models form ordinary differential equations --
State models form ordinary differential equations II: the problem of initial conditions --
Introduction to numerical computation and Gaussian elimination --
Newton-Raphson techniques --
Digital simulation of state models --
Linear discrete-time state models: basics and parallels with the continuous time case --
Existence and uniqueness of state trajectories --
The solution of ẋ(t) = A(t)x(t) and the state transition matrix --
The fundamental matrix and properties of the state transition matrix --
Closed-form solution of the time-varying state equations --
some techniques for computing the matrix exponential and its integral --
An eigenvalue-eigenvector method for computing [phi](t)=exp(At) --
The state transition matrix and the solution of the discrete time state model --
Decomposition of the time-invariant state matrix --
Impulse response matrices, transfer function matrices, and the Jordan form --
The singular value decomposition and state space applications --
Controllability of the time-invariant state model --
Observability and the basics of observer design --
Stability of lumped time-invariant systems --
Controllability and observability: the time-varying case --
Stability of the time-varying linear state model --
The disturbance decoupling problem.
Responsibility: Raymond A. DeCarlo.
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