Hybrid [formula omitted]-gain analysis of T-S fuzzy positive impulsive systems

Abstract

The finite hybrid L1×l1-gain problem for T-S fuzzy positive impulsive systems is proposed. The problem is solved in the framework of discretized copositive Lyapunov functions. In order to highlight the effect of interaction between continuous and discrete dynamics on system performance, both the impulse state and the discrete-time input are included in the introduced copositive Lyapunov functions. By selecting appropriate auxiliary functions for adjusting the variation of copositive Lyapunov function at impulse instants, the introduced copositive Lyapunov functions turn out to be continuous along the solutions of the system. Through employing the novel discretized function, new criteria for exponential stability and finite hybrid L1×l1-gain are derived in terms of finite linear programming. Numerical examples show that the new criteria can achieve higher accuracy than those of the existing ones.