Lyapunov function for a time-varying nonlinear system

1972 ◽  
Vol 17 (4) ◽  
pp. 570-571 ◽  
Author(s):  
A. Mandal
Keyword(s):  
Nonlinear System ◽  
Lyapunov Function ◽  
Time Varying

Cooperative Networked Control Based on a Time-Varying Lyapunov Function

2021 ◽  
Vol 32 (3) ◽  
pp. 533-542
Author(s):  
Arturo M. Flores ◽  
Lucas N. Egidio ◽  
Grace S. Deaecto
Keyword(s):  
Lyapunov Function ◽  
Networked Control ◽  
Time Varying

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.

scholarly journals Control of Nonlinear System with State-Constraints using Barrier Lyapunov Function and Backstepping Method

2018 ◽  
Vol 11 (4) ◽  
pp. 165-174
Author(s):  
Joseph R. P. D. Hasibuan ◽  
Elfi Yulia ◽  
Muhammad Hablul Barri ◽  
Augie Widyotriatmo
Keyword(s):  
Nonlinear System ◽  
Lyapunov Function ◽  
State Constraints ◽  
Backstepping Method ◽  
Barrier Lyapunov Function
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