Interval stability/stabilization and H∞ feedback control for linear impulsive stochastic systems

This paper considers the interval stability/stabilization as well as the H .-performance con-strained by convergence rate of the linear impulsive stochastic systems (LISSs). Firstly, based on the relationship between the system pole configuration and the system perfor-mance, 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. Mean-while, 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 effective-ness and applicability of the method are verified by numerical examples.(c) 2022 Elsevier Inc. All rights reserved.