Exponential estimates and sufficient conditions for the exponential stability of linear time delay systems are given. The proof make use of Lyapunov-Krasovskii functionals and the conditions are expressed in terms of linear matrix inequalities.

Exponential estimates for retarded time-delay systems: an LMI approach

Nonlinear modeling and identification of a DC motor for bidirectional operation with real time experiments

The issue of robustly exponential stability for uncertain neutral-type systems is considered in this paper. The uncertainties are nonlinear and the delays are time-varying. In terms of a linear matrix inequality (LMI), the new sufficient stability condition with delay dependence is presented. The model transformation and bounding techniques for cross terms are avoided based on an integral inequality. Two illustrative examples are proposed to show the effectiveness of our method.

On robustly exponential stability of uncertain neutral systems with time-varying delays and nonlinear perturbations

The problem of stabilizing a class of perturbed linear dynamic systems with time-varying state delay is investigated in this paper. By applying the Lyapunov stability theorem, we develop a delay-independent adaptive variable structure controller to drive the states of system to zero. Based on the variable structure control (VSC) technique, the proposed controller can drive the system into a pre-specified sliding hyperplane to obtain the desired dynamic performance. Once the dynamics of system reach the sliding plane, the proposed controlled system is insensitive to perturbations. The use of adaptive technique is to overcome the unknown upper bound of perturbations so that the reaching condition (or sliding condition) can be satisfied. Furthermore, the globally asymptotic stability is guaranteed for the proposed control scheme under certain conditions. Finally, an example is given to illustrate the feasibility of the proposed control methodology.

Design of adaptive variable structure controllers for perturbed time-varying state delay systems

Global stabilizability of uncertain systems with time-varying delays via dynamic observer-based output feedback

In this paper, the α-stability of nonlinear systems with multiple time delays is considered. Some criteria are proposed to guarantee the α-stability for a class of nonlinear systems with multiple time delays. Two numerical examples are provided to illustrate our main results.

On α-stability criteria of nonlinear systems with multiple time delays

In this paper, the global exponential stabilization for a class of uncertain nonlinear systems with time-varying delay arguments and input deadzone nonlinearities is considered. A composite feedback control is proposed such that the feedback-controlled system is globally exponentially stable if a simple sufficient condition is met. Furthermore, for slightly more restricted systems, we show that the global exponential stability can always be achieved with any pre-specified convergence rate. A numerical example is provided to illustrate the use of our main results.

Global exponential stabilization for a class of uncertain nonlinear systems with time-varying delay arguments and input deadzone nonlinearities

A unifying control scheme is proposed such that the global asymptotic stability of linear circuits with saturating actuator or dead-zone actuator can be guaranteed. A numerical example is also given to illustrate the main result.

A unifying control scheme of linear circuits with saturating or dead-zone actuator

In this note, new criteria for the global asymptotic stability and the global exponential stability of a class of uncertain time-lag systems with time-varying delays are proposed. A numerical example is given to illustrate our main results.

Yeong-Jeu Sun

Papers

On α-stability criteria of nonlinear systems with multiple time delays

Global exponential stabilization for a class of uncertain nonlinear systems with time-varying delay arguments and input deadzone nonlinearities

A unifying control scheme of linear circuits with saturating or dead-zone actuator

A note on the stability of uncertain time-lag systems