Matrix equations solutions using Riccati equation: Theory and Applications - Couverture souple

Nicholas Assimakis, Maria Adam And

Couverture souple

ISBN 10 : 3659227323 ISBN 13 : 9783659227325

Editeur : LAP LAMBERT Academic Publishing, 2012

Synopsis

The nonlinear matrix equation X^{s}+A*X^{-s})A=Q, when A is a square matrix, Q is a square positive definite matrix and s an integer number, has been studied by several authors. Equations of this type arise in many problems of systems theory, discrete time control and in many applications in various research areas including filter design, ladder networks, dynamic programming, stochastic filtering and statistics. In the case that A is nonsingular and s=1, the associated matrix equation has many contributions in the theory, applications and numerical solution of the discrete algebraic Riccati equation. In this book, necessary and sufficient conditions for the existence of the Hermitian solutions are presented as well as an algebraic method based on the Riccati equation for the computation of these solutions is proposed. Inequalities for the eigenvalues of A, Q are presented. Bounds for the extreme eigenvalues of the minimal solution are derived. These results are verified through numerical experiments. This book concerns graduate students as well as researchers in the fields of Applied Mathematics, Electrical and Computer Engineering.

A propos du livre

À propos de l?auteur

Maria Adam: Ph.D. in Applied Mathematics, National Technical University of Athens, 2001. Assistant Professor at University of Central Greece. Nicholas Assimakis: Ph.D. in Signal Processing, University of Patras, 1993. Associate Professor at Technological Educational Institute of Lamia, Greece.

Détails de l'édition

• Éditeur: LAP LAMBERT Academic Publishing
• Date d'édition: 2012
• Langue: anglais
• ISBN 10: 3659227323
• ISBN 13: 9783659227325
• Reliure: Broché
• Nombre de pages: 92
• Coordonnées du fabricant: non disponible
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