Observer for a class of Lipschitz nonlinear systems with multiple time‐varying delays in the nonlinear measured outputs

2021 ◽  
Author(s):  
B. Targui ◽  
O. Hernández‐González ◽  
C.M. Astorga‐Zaragoza ◽  
M.E. Guerrero‐Sánchez ◽  
G. Valencia‐Palomo
Keyword(s):  
Nonlinear Systems ◽  
Multiple Time ◽  
Time Varying ◽  
Lipschitz Nonlinear Systems

Robust stability and memory state feedback control for a class of switched nonlinear systems with multiple time-varying delays

2021 ◽  
pp. 107754632098598
Author(s):  
Marwen Kermani ◽  
Anis Sakly
Keyword(s):  
Nonlinear Systems ◽  
Lyapunov Function ◽  
Feedback Stabilization ◽  
State Feedback Control ◽  
Multiple Time ◽  
Time Varying ◽  
Switched Nonlinear Systems ◽  
Common Lyapunov Function ◽  
Suggested Approach ◽  
Aggregation Techniques

This study is concerned with the stability analysis and the feedback stabilization problems for a class of uncertain switched nonlinear systems with multiple time-varying delays. Unusually, more general time delays, which depend on the subsystem number, are considered. In this regard, by constructing a novel common Lyapunov function, using the aggregation techniques and the Borne and Gentina criterion, new algebraic stability and feedback stabilization conditions under arbitrary switching are derived. The proposed results are explicit and obtained without searching a common Lyapunov function through the linear matrix inequalities approach, considered a difficult matter in this case. At last, two numerical simulation examples are shown to prove the practical utility of the suggested approach.

A Chain Observer for Nonlinear Systems with Multiple Time-Varying Measurement Delays

2014 ◽  
Vol 52 (3) ◽  
pp. 1862-1885 ◽  
Author(s):  
Filippo Cacace ◽  
Alfredo Germani ◽  
Costanzo Manes
Keyword(s):  
Nonlinear Systems ◽  
Multiple Time ◽  
Time Varying ◽  
A Chain

scholarly journals M-Matrix-Based Robust Stability and Stabilization Criteria for Uncertain Switched Nonlinear Systems with Multiple Time-Varying Delays

2021 ◽  
Vol 2021 ◽  
pp. 1-17
Author(s):  
Marwen Kermani ◽  
Anis Sakly
Keyword(s):  
Nonlinear Systems ◽  
Robust Stability ◽  
Feedback Stabilization ◽  
Linear Matrix ◽  
Multiple Time ◽  
Time Varying ◽  
Switched Nonlinear Systems ◽  
Aggregation Techniques ◽  
Stability And Stabilization ◽  
Robust Stability And Stabilization

This paper focuses on the robust stability and the memory feedback stabilization problems for a class of uncertain switched nonlinear systems with multiple time-varying delays. Especially, the considered time delays depend on the subsystem number. Based on a novel common Lyapunov functional, the aggregation techniques, and the Borne and Gentina criterion, new sufficient robust stability and stabilization conditions under arbitrary switching are established. Compared with existing results, the proposed criteria are explicit, simple to use, and obtained without finding a common Lyapunov function for all subsystems through linear matrix inequalities, considered very difficult in this situation. Moreover, compared with the memoryless one, the developed controller guarantees the robust stability of the corresponding closed-loop system with more performance by minimizing the effect of the delays in the system dynamics. Finally, two numerical simulation examples are shown to prove the practical utility and the effectiveness of the proposed theories.

Output tracking control of switched nonlinear systems with multiple time-varying delays

2018 ◽  
Vol 49 (11) ◽  
pp. 2373-2384 ◽  
Author(s):  
L. Susana Ramya ◽  
R. Sakthivel ◽  
A. Leelamani ◽  
P. Dhanalakshmi ◽  
N. Sakthivel
Keyword(s):  
Nonlinear Systems ◽  
Tracking Control ◽  
Multiple Time ◽  
Time Varying ◽  
Switched Nonlinear Systems ◽  
Output Tracking ◽  
Output Tracking Control

Adaptive neural control of switched nonstrict-feedback nonlinear systems with multiple time-varying delays

2017 ◽  
Vol 354 (18) ◽  
pp. 8180-8199 ◽  
Author(s):  
Xiaocheng Shi ◽  
Shengyuan Xu ◽  
Weimin Chen ◽  
Yongmin Li ◽  
Zhengqiang Zhang
Keyword(s):  
Nonlinear Systems ◽  
Neural Control ◽  
Multiple Time ◽  
Time Varying ◽  
Adaptive Neural Control

scholarly journals Observer analysis and synthesis for Lipschitz nonlinear systems under discrete time-varying measurements

2017 ◽  
Vol 50 (1) ◽  
pp. 2941-2946 ◽  
Author(s):  
Etienne Lucien ◽  
Hetel Laurentiu ◽  
Efimov Denis ◽  
Petreczky Mihaly
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
Time Varying ◽  
Lipschitz Nonlinear Systems ◽  
Analysis And Synthesis

EXPONENTIAL STABILITY OF A CLASS OF POSITIVE NONLINEAR SYSTEMS WITH MULTIPLE TIME-VARYING DELAYS

2020 ◽  
Vol 65 (6) ◽  
pp. 3-12
Author(s):  
Dung Le Thi Hong
Keyword(s):  
Neural Networks ◽  
Nonlinear Systems ◽  
Exponential Stability ◽  
Hopfield Neural Networks ◽  
Positive Equilibrium ◽  
Multiple Time ◽  
Time Varying ◽  
System State ◽  
Numerical Example ◽  
Comparison Technique

This paper is concerned with the problem of exponential stability of a class of positive nonlinear systems with heterogeneous time-varying delays which describe a model of Hopfield neural networks with nonlinear self-inhibition rates. Based on a novel comparison technique via a differential and integral inequalities, testable conditions are derived to ensure system state trajectories converge exponentially to a unique positive equilibrium. The effectiveness of the obtained results is illustrated by a numerical example.

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