Asynchronous output-feedback stabilization of discrete-time Markovian jump linear systems

Various constraints on signal processing and transmission in practice have posed a big issue to perfect synchronous switching control for Markovian jump linear systems (MJLSs), and thus designing a controller partially or totally independent of the plant switching becomes significant. In this paper, we propose an approach to synthesizing asynchronous switching control laws for discrete-time MJLSs. By utilizing a separation technique, a necessary and sufficient condition for asynchronous static output-feedback stabilizability is established in terms of a set of matrix inequality with a special structure for computation. Then, an iterative algorithm is employed to solve the condition. Appropriate optimization on initial values may improve the solvability. Numerical examples are provided to illustrate the effectiveness of the proposed approach.