Stability Analysis for Nonlinear Impulsive Control System with Uncertainty Factors

Abstract

Considering the limitation of machine and technology, we study the stability for nonlinear impulsive control system with some uncertainty factors, such as the bounded gain error and the parameter uncertainty. A new sufficient condition for this system is established based on the generalized Cauchy–Schwarz inequality in this paper. Compared with some existing results, the proposed method is more practically applicable. The effectiveness of the proposed method is shown by a numerical example.

Stabilization of genetic regulatory networks with time‐varying delays via event‐triggered impulsive control

“…As a discontinuous control method, impulsive control method has been used in the fields of satellite orbit transfer [34] and money supply control in financial markets and so on. In comparison with other methods, impulsive control is more efficient in dealing with the stability of complex systems [35].…”