On Delay-Dependent Robust Stability of Neutral Systems with Time-Varying Delays and Fractional Norm-bounded Uncertainties

2010 ◽  
Author(s):  
Jun Xing ◽  
Da Qing Zhang ◽  
JinHai Zhang
Keyword(s):  
Robust Stability ◽  
Time Varying ◽  
Neutral Systems ◽  
Delay Dependent ◽  
Bounded Uncertainties ◽  
Norm Bounded Uncertainties

scholarly journals Robust Stability Criteria for Uncertain Neutral Systems with Interval Nondifferentiable Time-Varying Delay and Nonlinear Perturbations

2011 ◽  
Vol 2011 ◽  
pp. 1-20 ◽  
Author(s):  
W. Weera ◽  
P. Niamsup
Keyword(s):  
Robust Stability ◽  
Linear Matrix ◽  
Fast Time ◽  
Time Varying ◽  
Nonlinear Perturbations ◽  
Stability Criteria ◽  
Neutral Systems ◽  
Time Varying Delay ◽  
Delay Dependent ◽  
Varying Delay

We study the robust stability criteria for uncertain neutral systems with interval time-varying delays and time-varying nonlinear perturbations simultaneously. The constraint on the derivative of the time-varying delay is not required, which allows the time-delay to be a fast time-varying function. Based on the Lyapunov-Krasovskii theory, we derive new delay-dependent stability conditions in terms of linear matrix inequalities (LMIs) which can be solved by various available algorithms. Numerical examples are given to demonstrate that the derived conditions are much less conservative than those given in the literature.

Improved Delay-Dependent Robust Stability Criteria for Discrete-Time Stochastic Uncertain Networks with Time-Varying Delays

2012 ◽  
Vol 430-432 ◽  
pp. 849-852
Author(s):  
Meng Zhuo Luo ◽  
Shou Ming Zhong
Keyword(s):  
Discrete Time ◽  
Stochastic Systems ◽  
Time Varying ◽  
Mean Square ◽  
Stability Criteria ◽  
The Mean ◽  
Delay Dependent ◽  
Uncertain Networks ◽  
Bounded Uncertainties ◽  
Norm Bounded Uncertainties

In this paper, the mean square asymptotical stability is investigated for a class of discrete-time stochastic systems with time-varying delays and norm-bounded uncertainties,a numerical example is presented to show the usefulness of the derived LMI-based stability condition.

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