Static output feedback stabilization for nonlinear discrete-time singular Markov jump systems

The static output feedback stabilization problem for a class of nonlinear discrete-time singular Markov jump systems is investigated. The nonlinear function satisfies a quadratic constraint. First, a linear matrix inequality (LMI) sufficient condition is developed which guarantees that the nonlinear discrete-time singular Markov jump systems are regular, causal, have unique solution in a neighborhood of the origin, and are stochastically stable. Then, based on singular value decomposition approach, the design method of static output feedback controllers is given. Last, a numerical example is provided to illustrate the effectiveness of the proposed method.