Dissipative control for singular impulsive dynamical systems

Dissipative Control for Singular Impulsive Dynamical Systems

The aim of this work is to study the dissipative control problem for singular impulsive dynamical systems. We start by introducing the impulse to the singular systems, and give the definition of the dissipation for singular impulsive dynamical systems. Then we discuss the dissipation of singular impulsive dynamical systems, we obtain some sufficient and necessary conditions for dissipation of t...

An impulsive dynamical systems framework for reset control systems

Impulsive dynamical systems is a well-established area of dynamical systems theory, and it is used in this work to analyze several basic properties of reset control systems: existence and uniqueness of solutions, and continuous dependence on the initial condition (well-posedness). The work scope is about reset control systems with a linear and time-invariant base system, and a zero-crossing res...

Robust Dissipative Control for Uncertain Nonlinear Dynamical Systems

The problem of robust dissipative control for uncertain nonlinear systems is investigated in this paper. The uncertainty is described in the form of bounded norm. Both state feedback control and output feedback control are designed to achieve quadratic dissipativeness for the systems. The robust dissipative control problem can be resolved for all admissible uncertainties, if there exist nonnega...

Dissipative Dynamical Systems

Slow manifolds for dissipative dynamical systems

Article history: Received 2 February 2009 Available online 26 September 2009 Submitted by B. Straughan