Optimal control of time-varying fault tolerant systems

In this paper an optimal control law for continuous infinite time-varying stochastic control systems with jumps and quadratic cost is found under assumption that the coefficients have limits as time tends to infinity and the boundary system is absolutely observable and stabilizable. Such systems are used to model design problems for fault tolerant control systems assuming that a process of failure detection and isolation is fast enough. In addition the asymptotic properties of the solution of the differential Riccati equations for continuous time Markovian jump linear quadratic control problem with time varying coefficients are established.