Matrix Riccati Equations in Control and Systems Theory (Hardcover)

Hisham Abou-Kandil

ISBN 10: 376430085X / ISBN 13: 9783764300852

Published by Birkhauser Verlag AG, Basel, 2003

About this Item

Hardcover. The aim of the book is to present the state of the art of the theory of symmetric (Hermitian) matrix Riccati equations and to contribute to the development of the theory of non-symmetric Riccati equations as well as to certain classes of coupled and generalized Riccati equations occurring in differential games and stochastic control. The volume offers a complete treatment of generalized and coupled Riccati equations. It deals with differential, discrete-time, algebraic or periodic symmetric and non-symmetric equations, with special emphasis on those equations appearing in control and systems theory. Extensions to Riccati theory allow to tackle robust control problems in a unified approach.The book is intended to make available classical and recent results to engineers and mathematicians alike. It is accessible to graduate students in mathematics, applied mathematics, control engineering, physics or economics. Researchers working in any of the fields where Riccati equations are used can find the main results with the proper mathematical background. The aim of the book is to present the state of the art of the theory of symmetric (Hermitian) matrix Riccati equations and to contribute to the development of the theory of non-symmetric Riccati equations as well as to certain classes of coupled and generalized Riccati equations occurring in differential games and stochastic control. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Seller Inventory # 9783764300852

Bibliographic Details

• Title: Matrix Riccati Equations in Control and Systems Theory (Hardcover)
• Publisher: Birkhauser Verlag AG, Basel
• Publication Date: 2003
• Language: English
• ISBN 10: 376430085X
• ISBN 13: 9783764300852
• Binding: Hardcover
• Condition: new

About this title

Synopsis

The aim of the book is to present the state of the art of the theory of symmetric (Hermitian) matrix Riccati equations and to contribute to the development of the theory of non-symmetric Riccati equations as well as to certain classes of coupled and generalized Riccati equations occurring in differential games and stochastic control. The volume offers a complete treatment of generalized and coupled Riccati equations. It deals with differential, discrete-time, algebraic or periodic symmetric and non-symmetric equations, with special emphasis on those equations appearing in control and systems theory. Extensions to Riccati theory allow to tackle robust control problems in a unified approach.

The book is intended to make available classical and recent results to engineers and mathematicians alike. It is accessible to graduate students in mathematics, applied mathematics, control engineering, physics or economics. Researchers working in any of the fields where Riccati equations are used can find the main results with the proper mathematical background.

Review

"In summary, this is a very well written and extremely useful book. It should be included in the library of everybody working on Ricatti equations, and in all areas of control, signals, and systems.... [It] will be a standard reference book in this area in the future."

―SIAM Review