Oscillation criteria for two-dimensional difference and differential systems of first-order linear difference equations are generalized and extended to nonlinear dynamic equations on arbitrary time scales. This unifies and extends under one theory previous linear results from discrete and continuous systems. An example is given illustrating that a key theorem is sharp on all time scales. 1. pre...

The goal of the tutorial is to give an overview of the newest unified design methodology of continuous-time or discretetime nonlinear control systems which guarantees desired transient performances in the presence of plant parameter variations and unknown external disturbances. The tutorial presents the up-to-date coverage of fundamental issues and recent research developments in design of nonl...

This paper proposes a two-time scale simulation approach of both short-term and long-term dynamics in power systems. The short-term transient period is analyzed by a full-time scale simulation while a quasi-steady state model of the power system is used to simulate long-term dynamics. The proposed method is inspired of Singular Perturbation theory to model the interaction between the short-term...

This paper introduces an new approach for parameter estimation and two-level control of large-scale discrete systems using input-output data. Parallel recursive least square estimation algorithms based on special observable canonical innovation model are considered and subsequently, parallel state estimation schemes are developed by partitioning the conventional Kalman-filter equation. Two-leve...

Facing the pressing needs of many applications in network and control systems, this paper introduces a class of nonlinear systemswith random time delays and derives conditions on moment exponential stability of the underlying systems. The systemmodel is versatile and can accommodate awide variety of situations. The stability analysis to date in the literature is mostly delay independent. To hig...

We study a two-time-scale system of jump-diffusion stochastic differential equations. The main goal is to study the convergence rate of the slow components to the effective dynamics. The convergence established here is in the strong sense, i.e., uniformly in time. For the ergodicity assumptions, we use the existence of a Lyapunov function to control the return times. This assumption is weaker t...

This paper presents a methodology for modeling the coordination of multi robot teams in the execution of cooperative tasks The main idea is to use hybrid systems theory in order to model the cooperation Basically during the execution of the task each robot can be in one of several discrete states called roles being controlled by di erent dynamic equations in each role The coordination of the te...