Stochastic Switching Systems

- Preface



- Introduction



- Stability Problem



- Stabilization Problem



- H-infinity Control Problem



- Filtering Problem



- Singular Stochastic Switching Systems



- Mathematical Review



- References



- Index.

From the reviews:"The text contains a large number of simple examples. The appendix collects together results from linear systems theory and probability, which may be helpful in understanding the material. The bibliography...is accurate and up-to-date. The treatment of robust stability and stabilization is carried out in parallel with the corresponding results for nominal systems models; this feature will be particularly useful to practicing engineers. Also, almost all of the results are expressed in terms of LMIs and/or their solutions; this is a unifying characteristic and is indeed advantageous on account of readily available complete catalog of the results in the area of MLSs; practicing engineers, in particular, will find it useful." -Mathematical Reviews"Boukas defines a stochastic switching system as a linear control problem with dynamics partially determined by a finite-state Markov process. ... the book may appeal to experts in control theory who already have intuition about linear control systems and may understand the results without needing to peruse the derivations." (Peter C. Kiessler, Journal of the American Statistical Association, Vol. 103 (481), 2008)