Global state-feedback control for a class of high-order stochastic upper-triangular systems with input time-varying delay

2016 ◽  
Author(s):  
Liang Liu ◽  
Yifan Zhang
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
High Order ◽  
State Feedback Control ◽  
Time Varying ◽  
Global State ◽  
Time Varying Delay ◽  
Triangular Systems ◽  
Input Time ◽  
Varying Delay

Asymptotic stabilization of stochastic high-order upper-triangular nonlinear systems with input time-varying delay

2016 ◽  
Vol 39 (12) ◽  
pp. 1898-1905 ◽  
Author(s):  
Liang Liu ◽  
Yifan Zhang
Keyword(s):  
Nonlinear Systems ◽  
State Feedback ◽  
High Order ◽  
Feedback Stabilization ◽  
System Stability ◽  
Time Varying ◽  
Independent State ◽  
Time Varying Delay ◽  
Input Time ◽  
Varying Delay

Based on the homogeneous domination approach and stochastic nonlinear time-delay system stability criterion, this paper investigates the global state-feedback stabilization problem for a class of stochastic high-order upper-triangular nonlinear systems with input time-varying delay. By skilfully choosing an appropriate Lyapunov–Krasoviskii functional and successfully solving several troublesome obstacles in the design and analysis procedure, a delay-independent state-feedback controller is designed to render the closed-loop system globally asymptotically stable in probability. The simulation example is given to verify the effectiveness of the proposed design scheme.

State feedback control law for a class of nonlinear time-varying system under unknown time-varying delay

2015 ◽  
Vol 82 (1-2) ◽  
pp. 349-355 ◽  
Author(s):  
Omar Naifar ◽  
Abdellatif Ben Makhlouf ◽  
Mohamed Ali Hammami ◽  
Abderrazak Ouali
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
State Feedback Control ◽  
Control Law ◽  
Time Varying ◽  
Time Varying Delay ◽  
Varying Delay

scholarly journals Finite-Time Stabilization of Switched Systems with Time-Varying Delay

2020 ◽  
pp. 24-31
Author(s):  
Mengxiao Deng ◽  
Yali Dong
Keyword(s):  
Feedback Control ◽  
Finite Time ◽  
State Feedback ◽  
State Feedback Control ◽  
Delay Systems ◽  
Time Varying ◽  
Time Varying Delay ◽  
Finite Time Stabilization ◽  
Varying Delay ◽  
Event Triggered

This paper studies the problem of finite-time stabilization of a class of switched linear time-varying delay systems. An event-triggered sampling mechanism and an event-triggered state feedback control are proposed. Based on Lyapunov-like function method, linear matrix inequality technique and averaged dwell time method, sufficient conditions for switched delay systems under event-triggered state feedback control are given to ensure the finite-time stabilization of the switched delay systems. Finally, a numerical example is given to verify the validity of the proposed results.

scholarly journals H∞Control for Nonlinear Systems with Time-Varying Delay Using Matrix-Based Quadratic Convex Approach

2015 ◽  
Vol 2015 ◽  
pp. 1-12 ◽  
Author(s):  
C. Emharuethai ◽  
P. Niamsup
Keyword(s):  
Nonlinear System ◽  
State Feedback ◽  
Sufficient Conditions ◽  
State Feedback Control ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequalities ◽  
Numerical Examples ◽  
Time Varying Delay ◽  
Varying Delay

H∞control problem for nonlinear system with time-varying delay is considered by using a set of improved Lyapunov-Krasovskii functionals including some integral terms, and a matrix-based on quadratic convex, combined with Wirtinger's inequalities and some useful integral inequality.H∞controller is designed via memoryless state feedback control and new sufficient conditions for the existence of theH∞state feedback for the system are given in terms of linear matrix inequalities (LMIs). Numerical examples are given to illustrate the effectiveness of the obtained result.

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