Nonlinear Impulsive Systems: Dynamics, Control, and Applications in Science and Engineering

https://www.sciencedirect.com/journal/communications-in-nonlinear-science-and-numerical-simulation/special-issue/101ZQN38L3H

Lead Guest Editors: Xiaodi Li, Chuandong Li, Wu-Hua Chen, Ivanka Stamova, Wassim Haddad

Research on nonlinear impulsive systems (NISs) has made significant impact in numerous areas of science and engineering such as neural networks, secure communication, biological systems, finance, signal processing systems, mechanics, automatic control, and spacecraft dynamics. NISs provide a natural framework for mathematical modeling of evolutionary processes and nonlinear phenomena which are subjected to instantaneous perturbations and experience abrupt changes at certain moments of time. Generally, from the dynamics and control points of view, the study on NISs can be divided into two classes; namely, impulsive perturbation and impulsive control. Impulsive perturbation considers the robustness of a system in which destabilizing impulses are usually involved, whereas impulsive control considers the stabilization of a system in which stabilizing impulses are usually involved. Impulse control, employed as a discontinuous control method, has been widely used in satellite orbit transfers, currency supply control in financial markets, chaos synchronization, and communication security due to its distinctive advantages such as lower control cost, higher confidentiality, and robustness. In addition, in recent years many complex impulses such as delayed impulses, large-scale impulses, stochastic impulses, state impulses, and hybrid impulses are frequently encountered in many fields of science and engineering, which deserve increasing attention. The purpose of this special issue is to provide a platform for researchers to disseminate original research in the fields of NISs, especially related to the problems of dynamics, control, and modeling of NISs.