Abstract
This paper considers the interval stability/stabilization as well as the H∞-performance constrained by convergence rate of the linear impulsive stochastic systems (LISSs). Firstly, based on the relationship between the system pole configuration and the system performance, a sufficient condition for the distribution of the system eigenvalues in a specific region is given, i.e., a new criterion for the interval stability/stabilization of LISSs. Meanwhile, a new algorithm is designed to precisely control the convergence speed of the target system by combining the interval stabilization method. In addition, an H∞ control criterion constrained by the convergence rate of the system is also proposed. Finally, the effectiveness and applicability of the method are verified by numerical examples.
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