Matrix Riccati Equations in Control and Systems Theory
The authors present the theory of symmetric (Hermitian) matrix Riccati equations and 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 shastic 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...
Search in google:
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.
PrefaceNotation1Basic results for linear equations12Hamiltonian Matrices and Algebraic Riccati equations213Global aspects of Riccati differential and difference equations894Hermitian Riccati Differential equations1815The periodic Riccati equation2576Coupled and generalized Riccati equations2997Symmetric differential Riccati equations: an operator based approach4118Applications to Robust Control Systems4679Non-symmetric Riccati theory and applications495AAppendix527References533Index569List of Figures572
