Relaxed nonquadratic stabilization conditions for Markovian jump fuzzy systems with incomplete transition descriptions

This paper focuses on deriving relaxed mean-square stability and H∞H∞ performance conditions for discrete-time MJFSs under a general description of transition probabilities. In the derivation, some available constraints are exploited on the basis of the property of transition probabilities, and then a two-stage relaxation scheme is proposed to reduce the conservatism that can arise from incomplete knowledge of probabilities as well as from fuzzy basis functions. Finally, nonquadratic stabilization conditions are derived in terms of LMIs, whose effectiveness is shown by two illustrative examples.