Name: robust control theory in hilbert space (in English)
Price: 104.20 USD
Availability: InStock
Author: feintuch
ISBN: 9780387982915

portada robust control theory in hilbert space (in English)

Type

Physical Book

Publisher

springer publishing map

Author

feintuch

Language

English

Pages

225

ISBN

0387982914

ISBN13

9780387982915

Synopsis "robust control theory in hilbert space (in English)"

this book presents an operator theoretic approach to robust control analysis for linear time-varying systems. it emphasizes the conceptual similarity with the h control theory for time-invariant systems and at the same time clarifies the major difficulties confronted in the time varying case. the necessary operator theory is developed from first principles and the book is as self-contained as possible. after presenting the necessary results from the theories of toeplitz operators and nest algebras, linear systems are defined as input- output operators and the relationship between stabilization and the existance of co-prime factorizations is described. uniform optimal control problems are formulated as model-matching problems and are reduced to four block problems. robustness is considered both from the point of view of fractional representations and the time varying gap metric, and the relationship between these types of uncertainties is clarified. the book closes with the solution of the orthogonal embedding problem for time varying contractive systems. this book will be useful to both mathematicians interested in the potential applications of operator theory in control and control engineers who wish to deal with some of the more mathematically sophisticated extension of their work.