scholarly journals Improved Robust Stability Criteria of Uncertain Neutral Systems with Mixed Delays

2009 ◽  
Vol 2009 ◽  
pp. 1-18 ◽  
Author(s):  
Zixin Liu ◽  
Shu Lü ◽  
Shouming Zhong ◽  
Mao Ye
Keyword(s):  
Control Systems ◽  
Linear Matrix Inequalities ◽  
Robust Stability ◽  
Linear Matrix ◽  
Mixed Delays ◽  
Stable Theory ◽  
Matrix Inequalities ◽  
Stability Criteria ◽  
Neutral Systems ◽  
Conservative Simulation

The problem of robust stability for a class of neutral control systems with mixed delays is investigated. Based on Lyapunov stable theory, by constructing a new Lyapunov-Krasovskii function, some new stable criteria are obtained. These criteria are formulated in the forms of linear matrix inequalities (LMIs). Compared with some previous publications, our results are less conservative. Simulation examples are presented to illustrate the improvement of the main results.

Stability Analysis for Descriptor Neutral Systems with Mixed Delays

2011 ◽  
Vol 228-229 ◽  
pp. 153-157
Author(s):  
Xiu Liu ◽  
Shou Ming Zhong ◽  
Xiu Yong Ding
Keyword(s):  
Descriptor System ◽  
Linear Matrix ◽  
Mixed Delays ◽  
Matrix Inequalities ◽  
Stability Criteria ◽  
Neutral Systems ◽  
The Stability ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Stability Results

Delay-dependent stability of descriptor neutral systems with mixed delays is investigated in this paper. Based on descriptor system approach, some new delay-dependent stability and robust stability criteria are established in terms of a operator and linear matrix inequalities(LMIs). Lyapunov-Krasovskii functional and Leibniz-Newton formula are applied to find the stability results.

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.

scholarly journals BIBO Stabilization of Discrete-Time Stochastic Control Systems with Mixed Delays and Nonlinear Perturbations

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Xia Zhou ◽  
Yong Ren ◽  
Shouming Zhong
Keyword(s):  
Control Systems ◽  
Stochastic Control ◽  
Discrete Time ◽  
Linear Matrix ◽  
Mixed Delays ◽  
Nonlinear Perturbations ◽  
Matrix Inequalities ◽  
Delay Dependent ◽  
Bounded Input ◽  
Delay Dependent Stability

The problem of bounded-input bounded-output (BIBO) stabilization in mean square for a class of discrete-time stochastic control systems with mixed time-varying delays and nonlinear perturbations is investigated. Some novel delay-dependent stability conditions for the previously mentioned system are established by constructing a novel Lyapunov-Krasovskii function. These conditions are expressed in the forms of linear matrix inequalities (LMIs), whose feasibility can be easily checked by using MATLAB LMI Toolbox. Finally, a numerical example is given to illustrate the validity of the obtained results.

scholarly journals Observer-Based Feedback Stabilization of Networked Control Systems with Random Packet Dropouts

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Pengpeng Chen ◽  
Shouwan Gao
Keyword(s):  
Control Systems ◽  
Linear Matrix Inequalities ◽  
Networked Control Systems ◽  
Sufficient Conditions ◽  
Feedback Stabilization ◽  
Networked Control ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Packet Dropouts ◽  
Binary Distribution

This paper is concerned with observer-based feedback stabilization of networked control systems (NCSs) with random packet dropouts. Both sensor-to-controller (S/C) and controller-to-actuator (C/A) packet dropouts are considered, and their behavior is assumed to obey the Bernoulli random binary distribution. The hold-input strategy is adopted, in which the previous packet is used if the packet is lost. An observer-based feedback controller is designed, and sufficient conditions for stochastic stability are derived in the form of linear matrix inequalities (LMIs). A numerical example illustrates the effectiveness of the results.

scholarly journals Robust Stability Criteria of Roesser-Type Discrete-Time Two-Dimensional Systems with Parameter Uncertainties

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Yan Zhao ◽  
Tieyan Zhang ◽  
Dan Zhao ◽  
Fucai You ◽  
Miao Li
Keyword(s):  
Robust Stability ◽  
Discrete Time ◽  
Linear Matrix ◽  
2D Systems ◽  
Two Dimensional ◽  
Matrix Inequalities ◽  
Stability Criteria ◽  
Parameter Uncertainties ◽  
Robust Stability Analysis ◽  
Parameter Dependent

This paper is concerned with robust stability analysis of uncertain Roesser-type discrete-time two-dimensional (2D) systems. In particular, the underlying parameter uncertainties of system parameter matrices are assumed to belong to a convex bounded uncertain domain, which usually is named as the so-called polytopic uncertainty and appears typically in most practical systems. Robust stability criteria are proposed for verifying the robust asymptotical stability of the related uncertain Roesser-type discrete-time 2D systems in terms of linear matrix inequalities. Indeed, a parameter-dependent Lyapunov function is applied in the proof of our main result and thus the obtained robust stability criteria are less conservative than the existing ones. Finally, the effectiveness and applicability of the proposed approach are demonstrated by means of some numerical experiments.

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