Mathematical Methods in Robust Control of Linear Stochastic Systems

This second edition of Mathematical Methods in the Robust Control of Linear Stochastic Systems includes a large number of recent results in the control of linear stochastic systems. More specifically, the new results presented are:

- A unified and abstract framework for Riccati type equations arising in the stochastic control

- Stability and control problems for systems perturbed by homogeneous Markov processes with infinite number of states

- Mixed H2/ H∞ control problem and numerical procedures

- Linear differential equations with positive evolution on ordered Banach spaces with applications for stochastic systems including both multiplicative white noise and Markovian jumps represented by a Markov chain with countable infinite set of states

- Kalman filtering for stochastic systems subject both to state dependent noise and Markovian jumps

- H∞ reduced order filters for stochastic systems

The book will appeal to graduate students, researchers in advanced control engineering, finance, mathematical systems theory, applied probability and stochastic processes, and numerical analysis.