2020
DOI: 10.1109/access.2020.2991341
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Finite-Time H Control for Itô-Type Nonlinear Time-Delay Stochastic Systems

Abstract: The finite-time H ∞ control problem for an Itô-type stochastic system with nonlinear perturbation and time delay is investigated. First, the finite-time H ∞ control problem for a nonlinear time-delay stochastic system is presented taking into consideration both the transient performance and the capability to attenuate the disturbance of a closed-loop system in a given finite-time interval. Second, using the Lyapunov-Krasoviskii functional method and the matrix inequality technique, some sufficient conditions f… Show more

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Cited by 9 publications
(6 citation statements)
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References 37 publications
(34 reference statements)
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“…In this section, we use the LMI parser YALMIP and the SDP solver Sedumi in MATLAB to get our results. Inspired by [36], we propose two algorithms: one finds the maximum value of h M , the other finds the minimum values of γ and K. 7),( 8),( 17),(18) γ 2 . Step 4: Let i = i + 1, if i+1>n, move to Step 5; otherwise, return to Step 3.…”
Section: Algorithmmentioning
confidence: 99%
“…In this section, we use the LMI parser YALMIP and the SDP solver Sedumi in MATLAB to get our results. Inspired by [36], we propose two algorithms: one finds the maximum value of h M , the other finds the minimum values of γ and K. 7),( 8),( 17),(18) γ 2 . Step 4: Let i = i + 1, if i+1>n, move to Step 5; otherwise, return to Step 3.…”
Section: Algorithmmentioning
confidence: 99%
“…The concept of finite-time stability has also been extended to robust stability control, 25 fault-tolerant control, 26 and H-infinity control. 27,28 At present, rich research results have been obtained for the finite-time synchronization control of complex systems and multiple agents. [20][21][22][29][30][31][32][33][34][35][36] For example, in paper, 30 the finite-time synchronization problem of a class of coupled complex partial differential systems was studied; in paper, 20 the finite-time synchronization problem of switched neural networks with state-dependent switching under intermittent control was discussed; in paper, 35 the robust guaranteed cost finite time control problem of coupled neural networks with parameter uncertainties was studied, and the robust guaranteed cost control law included continuous feedback controller and intermittent feedback controller.…”
Section: Introductionmentioning
confidence: 99%
“…Fortunately, the concept of finite-time stability (FTS) is put forward [30]. Due to the advantage of the finite-time technique, there have been many nice results on it, such as the FTS of switched stochastic systems [31]- [33], FTS of stochastic delayed systems [34]- [36], FTS of stochastic Markovian jump systems [37], [38]. Besides, external disturbance is unavoidable in practice.…”
Section: Introductionmentioning
confidence: 99%