This paper concerns an optimal control problem defined on a class of switched-mode hybrid dynamical systems. The systemâ€™s mode is changed (switched) whenever the state variable crosses a certainâ€¦ (More)

A reduction method for the class of distributed delay systems with rational kernel is studied. It transforms the delay system to one with fixed crisp delays. Applications in stability analysis andâ€¦ (More)

The dynamics of hybrid systems with mode dynamics of different dimensions is described. The first part gives some deterministic examples of such multi-mode multi-dimensional (MD) systems. The secondâ€¦ (More)

The problem of optimal switching of a multi-mode time delay system is considered. The class of multi-mode systems consists of systems where the control variables are the switching times in a sequenceâ€¦ (More)

The optimal impulsive control problem for a system with a single discrete delay is studied. In such systems the control consists only of a sequence of modulated impulses, the control variables beingâ€¦ (More)

This paper introduces a novel approach towards balancing of nonlinear systems. It differs from other approaches in two key ideas: The first is the observation that linear timeinvariant systems have aâ€¦ (More)

A Lyapunov-type stability analysis for coupled delay differential and continuous time difference equations is given. Such systems are encountered as the internal dynamics of input output linearizedâ€¦ (More)

This paper develops the theory of vibrational control Of "lhJear time Systems with arbitrarily large but bounded delay. theory for fast Oscillating, differential delay equations is presented and thenâ€¦ (More)