Rational Matrix Equations in Stochastic Control

• Main Author: Damm, Tobias (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004.
• Edition: 1st ed. 2004.
• Series: Lecture Notes in Control and Information Sciences, 297
• Subjects: Probabilities.; Control engineering.; Robotics.; Mechatronics.; Matrix theory.; Algebra.; System theory.; Applied mathematics.; Engineering mathematics.; Probability Theory and Stochastic Processes.; Control, Robotics, Mechatronics.; Linear and Multilinear Algebras, Matrix Theory.; Systems Theory, Control.; Mathematical and Computational Engineering.

This book is the first comprehensive treatment of rational matrix equations in stochastic systems, including various aspects of the field, previously unpublished results and explicit examples. Topics include modelling with stochastic differential equations, stochastic stability, reformulation of sto...

Table of Contents:

• Introduction
• Aspects of stochastic control theory
• Optimal stabilization of linear stochastic systems
• Linear mappings on ordered vector spaces
• Newtons method
• Solution of the Riccati equation.