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

1995 ◽  
Vol 332 (5) ◽  
pp. 619-631 ◽  
Author(s):  
Yeong-Jeu Sun ◽  
Jer-Guang Hsieh
Keyword(s):  
Nonlinear Systems ◽  
Exponential Stabilization ◽  
Time Varying ◽  
Uncertain Nonlinear Systems ◽  
Time Varying Delay ◽  
Global Exponential Stabilization ◽  
Varying Delay

scholarly journals Novel Stability Criteria of Nonlinear Uncertain Systems with Time-Varying Delay

2011 ◽  
Vol 2011 ◽  
pp. 1-16 ◽  
Author(s):  
Yali Dong ◽  
Shengwei Mei ◽  
Xueli Wang
Keyword(s):  
Nonlinear Systems ◽  
Uncertain Systems ◽  
Sufficient Conditions ◽  
Exponential Stabilization ◽  
Linear Matrix ◽  
Time Varying ◽  
Time Varying Delay ◽  
Riccati Differential Equations ◽  
Continuous State ◽  
Varying Delay

The problem of robust exponential stabilization for dynamical nonlinear systems with uncertainties and time-varying delay is considered in the paper. By constructing the proposed Lyapunov-Krasovskii functional approach, continuous state feedback controllers are put forward, and the criteria which guarantee the exponential stabilization of the nonlinear systems with uncertainties and time-varying delay are established in terms of solutions to the standard Riccati differential equations. Furthermore, based on the Lyapunov method and the linear matrix inequality approach, the sufficient conditions of exponential stability for a class of uncertain systems with time-varying delays and nonlinear perturbations are derived. Finally, two numerical examples are given to demonstrate the validity of the results.

Robust multiobserver design for discrete uncertain nonlinear systems with time-varying delay

2016 ◽  
Vol 40 (1) ◽  
pp. 191-201 ◽  
Author(s):  
Samah Ben Atia ◽  
Anis Messaoud ◽  
Ridha Ben Abdennour
Keyword(s):  
Nonlinear Systems ◽  
Sufficient Conditions ◽  
Operating Regime ◽  
Linear Matrix ◽  
Time Varying ◽  
Uncertain Nonlinear Systems ◽  
Time Varying Delay ◽  
Partial Models ◽  
Delay Dependent ◽  
Varying Delay

In this paper, a robust multiobserver is proposed for the state estimation of discrete-time uncertain nonlinear systems with time-varying delay. The designed multiobserver is based on the decoupled multimodel approach. Unlike the classically used multimodel structures, the decoupled multimodel provides a flexibility of modelling. Indeed, the partial models’ structures can be adapted to the complexity of the system in each operating regime, thus the partial models can be with different dimensions. Delay-dependent sufficient conditions for the synthesis of a robust multiobserver against norm-bounded parametric uncertainties and in the presence of measurement noise are established in terms of linear matrix inequalities. A simulation example is given to illustrate the effectiveness of the designed multiobserver.

Exponential Tracking Control for a Class of Uncertain Nonlinear Systems With Time-Varying Delay Arguments and Deadzone Nonlinearities

1997 ◽  
Vol 119 (4) ◽  
pp. 825-830 ◽  
Author(s):  
Yeong-Jeu Sun ◽  
Jer-Guang Hsieh
Keyword(s):  
Nonlinear Systems ◽  
Tracking Control ◽  
Time Varying ◽  
Uncertain Nonlinear Systems ◽  
Exponential Rate ◽  
Tracking Problem ◽  
Controlled System ◽  
Time Varying Delay ◽  
Exponential Rate Of Convergence ◽  
Varying Delay

In this paper, the tracking problem for a class of uncertain nonlinear systems with time-varying delay arguments and deadzone nonlinearities is considered. A feedback control is proposed such that the states of the feedback-controlled system track the desired trajectories with any prespecified exponential rate of convergence. A numerical example is provided to illustrate the use of our main result.

scholarly journals Finite-Time Stability of Uncertain Nonlinear Systems with Time-Varying Delay

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Jingting Hu ◽  
Guixia Sui ◽  
Shengli Du ◽  
Xiaodi Li
Keyword(s):  
Nonlinear Systems ◽  
Finite Time ◽  
Delay Systems ◽  
Time Varying ◽  
Uncertain Nonlinear Systems ◽  
Time Stability ◽  
External Disturbances ◽  
Finite Time Stability ◽  
Time Varying Delay ◽  
Varying Delay

The problem of finite-time stability for a class of uncertain nonlinear systems with time-varying delay and external disturbances is investigated. By using the Lyapunov stability theory, sufficient conditions for the existence of finite-time state feedback controller for this class of systems are derived. The results can be applied to finite-time stability problems of linear time-delay systems with parameter uncertainties and external disturbances. Finally, two numerical examples are given to demonstrate the effectiveness of the obtained theoretical results.

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