Impulsive controllability of linear dynamical systems with applications to maneuvers of spacecraft

Abstract

Necessary and sufficient conditions for impulsive controllability of linear dynamical systems are obtained, which provide a novel approach to problems that are basically defined by continuous dynamical systems, but on which only discrete-time actions are exercised. As an application, impulsive maneuvering of a spacecraft is discussed.

Impulsive control and synchronization of spatiotemporal chaos

“…Applying the finite difference method, to discretize the last term in the first equation of (30), and the periodic boundary conditions, we get, for j = 1,2,. . .…”

“…The theory of impulsive ordinary differential equations and its applications to the fields of science and engineering have been very active research topics [28][29][30][43][44][45], since the theory provides a natural framework for mathematical modeling of many physical phenomena. Furthermore, impulsive control, which is based on the theory of impulsive differential equations, has gained renewed interests recently for its promising applications towards controlling systems exhibiting chaotic behaviour.…”

Existence of three solutions for impulsive multi-point boundary value problems

“…These kinds of processes naturally occur in control theory, biology, optimization theory, medicine, and so on (see [6,10,28,36]). The theory of impulsive differential equations has recently received considerable attention, see [2,3,6,30,33,39]. There has been increasing interest in the investigation for boundary value problems of nonlinear impulsive differential equations during the past few years, and many works have been published about the existence of solutions for second-order impulsive differential equations.…”

Application of impulsive synchronization to communication security

“…I MPULSIVE differential equations have gained considerable attention in science and engineering [14], [15], [17], [24], [31], [32] in recent years, since they provide a natural framework for mathematical modeling of many physical phenomena. Examples include population-growth models [14] and maneuvers of spacecraft [17].…”