Discrete-Delay-Independent and Discrete-Delay-Dependent Criteria for a Class of Neutral Systems

2003 ◽  
Vol 125 (1) ◽  
pp. 33-41 ◽  
Author(s):  
Chang-Hua Lien ◽  
Jenq-Der Chen
Keyword(s):  
Time Delays ◽  
Linear Matrix ◽  
Multiple Time ◽  
Matrix Inequality ◽  
Stability Criteria ◽  
Discrete Delay ◽  
Neutral Systems ◽  
Numerical Examples ◽  
Multiple Time Delays ◽  
Delay Dependent

In this paper, the asymptotic stability for a class of neutral systems with discrete and distributed multiple time delays is considered. Discrete-delay-independent and discrete-delay-dependent criteria are proposed to guarantee stability for such systems. The resulting stability criteria are written in the form of spectral radius and linear matrix inequality (LMI). Some numerical examples are given to illustrate that our obtained results are less conservative.

scholarly journals Stability analysis of linear neutral systems with multiple time delays

2005 ◽  
Vol 2005 (2) ◽  
pp. 175-183 ◽  
Author(s):  
Keyue Zhang
Keyword(s):  
Stability Analysis ◽  
Asymptotic Stability ◽  
Spectral Radius ◽  
Time Delays ◽  
Multiple Time ◽  
Stability Criteria ◽  
Neutral Systems ◽  
Numerical Examples ◽  
Multiple Time Delays ◽  
New Criteria

This paper studies the asymptotic stability of linear neutral systems with multiple time delays. Using the characteristic equation of the system, new delay-independent stability criteria are derived in terms of the spectral radius of modulus matrices. Numerical examples are given to demonstrate the validity of our new criteria.

scholarly journals Stability and stabilizability of dynamical systems with multiple time-varying delays: delay-dependent criteria

2003 ◽  
Vol 2003 (4) ◽  
pp. 137-152 ◽  
Author(s):  
D. Mehdi ◽  
E. K. Boukas
Keyword(s):  
Time Delays ◽  
Uncertain Systems ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Multiple Time ◽  
Multiple Time Delays ◽  
The Stability ◽  
Delay Dependent ◽  
Bounded Uncertainties ◽  
Norm Bounded Uncertainties

This paper deals with the class of uncertain systems with multiple time delays. The stability and stabilizability of this class of systems are considered. Their robustness are also studied when the norm-bounded uncertainties are considered. Linear matrix inequality (LMIs) delay-dependent sufficient conditions for both stability and stabilizability and their robustness are established to check if a system of this class is stable and/or is stabilizable. Some numerical examples are provided to show the usefulness of the proposed results.

scholarly journals Stochastic Synchronization of Neutral-Type Neural Networks with Multidelays Based onM-Matrix

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Wuneng Zhou ◽  
Xueqing Yang ◽  
Jun Yang ◽  
Jun Zhou
Keyword(s):  
Neural Networks ◽  
Time Delays ◽  
Neutral Type ◽  
Linear Matrix ◽  
Control Law ◽  
Multiple Time ◽  
Matrix Inequality ◽  
Stochastic Disturbance ◽  
Stochastic Synchronization ◽  
Multiple Time Delays

The problem of stochastic synchronization of neutral-type neural networks with multidelays based onM-matrix is researched. Firstly, we designed a control law of stochastic synchronization of the neural-type and multiple time-delays neural network. Secondly, by making use of Lyapunov functional andM-matrix method, we obtained a criterion under which the drive and response neutral-type multiple time-delays neural networks with stochastic disturbance and Markovian switching are stochastic synchronization. The synchronization condition is expressed as linear matrix inequality which can be easily solved by MATLAB. Finally, we introduced a numerical example to illustrate the effectiveness of the method and result obtained in this paper.

Delay-Dependent Robust Passive Control for Uncertain Discrete Singular Systems with Multiple Time-Delays

2012 ◽  
Vol 433-440 ◽  
pp. 4284-4290
Author(s):  
Shu Hong Tang ◽  
Bo Meng ◽  
Cun Chen Gao
Keyword(s):  
Time Delays ◽  
Passive Control ◽  
Singular Systems ◽  
Singular System ◽  
Linear Matrix ◽  
Multiple Time ◽  
Weighting Matrix ◽  
Multiple Time Delays ◽  
Discrete Singular Systems ◽  
Delay Dependent

This paper investigates delay-dependent robust passive analysis and control for uncertain discrete singular system with multiple time-delays. Delay-dependent robust passive sufficient condition in terms of linear matrix inequalities (LMI) for the discrete singular systems is obtained by employing Lyapunov-Krasovskii approach and free weighting matrix technique. Based on this condition, a delay-dependent robust passive controller is presented which guarantees the resultant closed-loop system to be regular, casual, stable and robust passive. A numerical example is provided to demonstrate the effectiveness of the method.

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