Delay-Dependent Stabilization of Time-Delay Systems with Nonlinear Perturbations

2021 ◽  
Author(s):  
Majid Shahbazzadeh ◽  
Seyed Jalil Sadati
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Nonlinear Perturbations ◽  
Delay Dependent

scholarly journals New delay-dependent observer-based control for uncertain stochastic time-delay systems

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Xiu-feng Miao ◽  
Long-suo Li
Keyword(s):  
Time Delay ◽  
The State ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Delay Systems ◽  
Parameter Uncertainties ◽  
Noise Disturbances ◽  
System States ◽  
Delay Dependent ◽  
Stochastic Time

AbstractThis paper considers the problem of estimating the state vector of uncertain stochastic time-delay systems, while the system states are unmeasured. The system under study involves parameter uncertainties, noise disturbances and time delay, and they are dependent on the state. Based on the Lyapunov–Krasovskii functional approach, we present a delay-dependent condition for the existence of a state observer in terms of a linear matrix inequality. A numerical example is exploited to show the validity of the results obtained.

DELAY-DEPENDENT SYNCHRONIZATION CRITERION FOR LUR'E SYSTEMS WITH DELAY FEEDBACK CONTROL

2006 ◽  
Vol 16 (10) ◽  
pp. 3087-3091 ◽  
Author(s):  
YONG HE ◽  
GUILIN WEN ◽  
QING-GUO WANG
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Matrix Approach ◽  
Time Delay Systems ◽  
Stability Studies ◽  
Lur’E Systems ◽  
Weighting Matrix ◽  
Delay Feedback Control ◽  
Delay Dependent ◽  
Synchronization Scheme

A master-slave synchronization scheme for Lur'e systems is studied for a known delay existing between master and slave systems. Based on the latest development of stability studies for time-delay systems, a new delay-dependent synchronization criterion is derived by the free-weighting matrix approach. The criterion shown by example is less conservative than the existing synchronization criteria.

Delay-dependent robust stability and ℒ2-gain analysis of a class of nonlinear time-delay systems

Automatica ◽  
2008 ◽  
Vol 44 (8) ◽  
pp. 2006-2018 ◽  
Author(s):  
Daniel F. Coutinho ◽  
Carlos E. de Souza
Keyword(s):  
Time Delay ◽  
Robust Stability ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Delay Dependent

New delay-dependent filter design for stochastic time-delay systems

2009 ◽  
Vol 89 (6) ◽  
pp. 974-980 ◽  
Author(s):  
Yun Chen ◽  
Anke Xue ◽  
Shaosheng Zhou
Keyword(s):  
Time Delay ◽  
Filter Design ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Delay Dependent ◽  
Stochastic Time
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