Orthogonal Functions in Systems and Control

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World Scientific, 1995 - Mathematics - 275 pages
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This book provides a systematic and unified approach to the analysis, identification and optimal control of continuous-time dynamical systems via orthogonal polynomials such as Legendre, Laguerre, Hermite, Tchebycheff, Jacobi, Gegenbauer, and via orthogonal functions such as sine-cosine, block-pulse, and Walsh. This is the first book devoted to the application of orthogonal polynomials in systems and control, establishing the superiority of orthogonal polynomials to other orthogonal functions.
 

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Contents

Least Squares Approximation of Signals
36
Signal Processing in Continuous Time Domain
87
Analysis of TimeDelay Systems
127
Identification of Lumped Parameter Systems
157
Identification of Distributed Parameter Systems
183
Identification of Linear TimeVarying and Nonlinear
203
Optimal Control of Linear Systems
213
List of Figures
235
Bibliography
241
Author Index
268
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