scholarly journals Mean-square Admissibility Analysis and Controller Design for Itô-type stochastic singular systems

IEEE Access ◽  
2021 ◽  
pp. 1-1
Author(s):  
Jian Huang ◽  
Xu Yang ◽  
Liang Qiao
Keyword(s):  
Controller Design ◽  
Singular Systems ◽  
Mean Square ◽  
Stochastic Singular Systems

New stability criteria for stochastic perturbed singular systems in mean square

2021 ◽  
Author(s):  
Thomas Caraballo ◽  
Faten Ezzine ◽  
Mohamed ali Hammami
Keyword(s):  
Exponential Stability ◽  
Singular Systems ◽  
Time Varying ◽  
Mean Square ◽  
Stability Criteria ◽  
Uniform Exponential Stability ◽  
Lyapunov Techniques ◽  
Stability And Stabilization ◽  
Stochastic Singular Systems ◽  
Stability In Mean Square

Abstract In this paper, we investigate the problem of stability of time-varying stochastic perturbed singular systems by using Lyapunov techniques under the assumption that the initial con- ditions are consistent. Sucient conditions on uniform exponential stability and practical uniform exponential stability in mean square of solutions of stochastic perturbed singular systems are obtained based upon Lyapunov techniques. Furthermore, we study the prob- lem of stability and stabilization of some classes of stochastic singular systems. Eventually, we provide a numerical example to validate the e ectiveness of the abstract results of this paper.

scholarly journals Finite-Time Admissibility and Controller Design for T-S Fuzzy Stochastic Singular Systems with Distinct Differential Term Matrices

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Liang Qiao ◽  
Zhaomin Lv
Keyword(s):  
Finite Time ◽  
Stochastic Systems ◽  
Controller Design ◽  
Design Method ◽  
Singular Systems ◽  
Linear Matrix ◽  
Fuzzy Membership Functions ◽  
Fuzzy Lyapunov Function ◽  
Parameter Perturbations ◽  
Stochastic Singular Systems

The finite-time admissibility analysis and controller design issues for extended T-S fuzzy stochastic singular systems (FSSSs) with distinct differential term matrices and Brownian parameter perturbations are discussed. When differential term matrices are allowed to be distinct in fuzzy rules, such fuzzy models can describe a wide class of nonlinear stochastic systems. Using fuzzy Lyapunov function (FLF), a new and relaxed sufficient condition is proposed via strict linear matrix inequalities (LMIs). Different from the existing stability conditions by FLF, the derivative bounds of fuzzy membership functions are not required in this condition. Based on admissibility analysis results, a design method for parallel distribution compensation (PDC) controller of FSSSs is given to guarantee the finite-time admissibility of the closed-loop system. Finally, the feasibility and effectiveness of the proposed methods in this article are illustrated with three examples.

Some remarks on stability of stochastic singular systems with state-dependent noise

Automatica ◽  
2015 ◽  
Vol 51 ◽  
pp. 273-277 ◽  
Author(s):  
Weihai Zhang ◽  
Yong Zhao ◽  
Li Sheng
Keyword(s):  
Singular Systems ◽  
State Dependent ◽  
Stochastic Singular Systems

Robust PD State Feedback Controller Design for Uncertain Singular Systems

2011 ◽  
Vol 403-408 ◽  
pp. 3813-3818
Author(s):  
Jian Wu Zhu ◽  
Yuan Chun Ding
Keyword(s):  
State Feedback ◽  
Controller Design ◽  
Singular Systems ◽  
Sufficient Conditions ◽  
Feedback Controller ◽  
State Feedback Controller ◽  
Closed Loop Systems ◽  
Uncertain Singular Systems ◽  
Parameter Dependent ◽  
Robust Stability And Stabilization

This paper is concerned with the problem of robust stability and stabilization of singular systems with uncertainties in both the derivative and state matrices. By using a parameter dependent Lyapunov function, we derive the LMI-based sufficient conditions for the stabilization of the singular systems. Secondly, by solving these LMIs, a proportional plus derivative (PD) state feedback controller is designed for the closed-loop systems to be quadratically normal and quadratically stable (QNQS). Finally, the numerical example is given to show the effectiveness of the proposed theorems.

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