Despite its potential use in several meaningful problems linear impulsive systems have not
been extensively studied to account for dynamics in which the equilibria are out of the origin …

Consideration was given to the problems of variational calculus and optimal control
admitting impulsive controls and, correspondingly, discontinuous solutions. The evolution of …

The paper is devoted to the study of the measure-driven differential inclusions dx (t)∈ G (t, x
(t)) d μ (t), x (0)= x 0 for arbitrary finite Borel measure μ. This type of results allows one to …

Linear impulsive control systems have been extensively studied with respect to their
equilibrium points which, in most cases, are no other than the origin. However, the trajectory …

This article investigates the properness, or well-posedness, of impulsive extension of a
conventional optimal control problem. This includes both well-posedness of the solution to …

Some problems of Calculus of Variations do not have solutions in the class of classic
continuous and smooth arcs. This suggests the need of a relaxation or extension of the …

This article is devoted to some applications of Hamilton–Jacobi inequalities for control
problems of ordinary and impulsive dynamical systems. We focus on the study of necessary …

In this work the problem of regulating glycemia in type I diabetic patients is studied by means
of a novel impulsive zone model predictive control. According to the control objective of …

The nonlinear impulsive control system with trajectories of bounded variation is considered.
The notions of strong and weak V-invariance of a closed set relative to the impulsive control …

This chapter concerns a discrete-time sampling state feedback control optimizing framework
for dynamic impulsive systems. This class of control systems differs from the conventional …