Finite-time stability of fractional-order stochastic singular systems with time delay and white noise

Complexity ◽  
2016 ◽  
Vol 21 (S2) ◽  
pp. 370-379 ◽  
Author(s):  
Kalidass Mathiyalagan ◽  
Krishnan Balachandran
Keyword(s):  
Time Delay ◽  
White Noise ◽  
Fractional Order ◽  
Finite Time ◽  
Singular Systems ◽  
Time Stability ◽  
Finite Time Stability ◽  
Stochastic Singular Systems

scholarly journals Finite-time stability of linear stochastic fractional-order systems with time delay

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Lassaad Mchiri ◽  
Abdellatif Ben Makhlouf ◽  
Dumitru Baleanu ◽  
Mohamed Rhaima
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Finite Time ◽  
Stochastic Analysis ◽  
Fractional Order Systems ◽  
Time Stability ◽  
Finite Time Stability ◽  
Analysis Techniques ◽  
Generalized Gronwall Inequality ◽  
Stability Of The Solution

AbstractThis paper focuses on the finite-time stability of linear stochastic fractional-order systems with time delay for $\alpha \in (\frac{1}{2},1)$ α ∈ ( 1 2 , 1 ) . Under the generalized Gronwall inequality and stochastic analysis techniques, the finite-time stability of the solution for linear stochastic fractional-order systems with time delay is investigated. We give two illustrative examples to show the interest of the main results.

scholarly journals Finite-Time Stability of a Time-Delay Fractional-Order Hydraulic Turbine Regulating System

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 82613-82623
Author(s):  
Peng Chen ◽  
Bin Wang ◽  
Yuqiang Tian ◽  
Ying Yang
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Finite Time ◽  
Hydraulic Turbine ◽  
Time Stability ◽  
Finite Time Stability

Finite-time stability of linear fractional-order time-delay systems

2018 ◽  
Vol 29 (1) ◽  
pp. 180-187 ◽  
Author(s):  
Omar Naifar ◽  
A. M. Nagy ◽  
Abdellatif Ben Makhlouf ◽  
Mohamed Kharrat ◽  
Mohamed Ali Hammami
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Finite Time ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Time Stability ◽  
Finite Time Stability

scholarly journals Finite-Time Stability and Stabilization of Itô-Type Stochastic Singular Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Zhiguo Yan ◽  
Weihai Zhang
Keyword(s):  
Stochastic Stability ◽  
Finite Time ◽  
Singular Systems ◽  
Singular System ◽  
Sufficient Condition ◽  
Matrix Inequalities ◽  
Time Stability ◽  
Finite Time Stability ◽  
Stability And Stabilization ◽  
Stochastic Singular Systems

This paper is concerned with the finite-time stability and stabilization problems for linear Itô stochastic singular systems. The condition of existence and uniqueness of solution to such class of systems are first given. Then the concept of finite-time stochastic stability is introduced, and a sufficient condition under which an Itô stochastic singular system is finite-time stochastic stable is derived. Moreover, the finite-time stabilization is investigated, and a sufficient condition for the existence of state feedback controller is presented in terms of matrix inequalities. In the sequel, an algorithm is given for solving the matrix inequalities arising from finite-time stochastic stability (stabilization). Finally, two examples are employed to illustrate our results.

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