Results 151 to 160 of about 2,341,083 (234)
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IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2021
This article considers admissibility analysis and stabilization for implicit Markovian jump systems (IMJSs) with retarded discrete-distributed delays. Admissibility analysis is investigated for the unforced delay IMJSs by virtue of reciprocally convex ...
Guangming Zhuang +4 more
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This article considers admissibility analysis and stabilization for implicit Markovian jump systems (IMJSs) with retarded discrete-distributed delays. Admissibility analysis is investigated for the unforced delay IMJSs by virtue of reciprocally convex ...
Guangming Zhuang +4 more
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Stability analysis of systems with time‐varying delay via a delay‐product‐type integral inequality
Mathematical methods in the applied sciences, 2022This paper is concerned with the issue of stability analysis of systems with time‐varying delay. First, a delay‐product‐type (DPT) integral inequality is proposed, which combines the third‐order Bessel–Legendre (TOBL) integral inequality and the ...
Guoqiang Tan, Zhanshan Wang
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Applied Mathematics Letters, 2022
The integral inequality plays a key role in developing delay-dependent stability criteria for the linear system with multiple time delays. This paper investigates a novel integral inequality to bound the integral terms in the derivative of the Lyapunov ...
Li Jin, Yong He, Lin Jiang
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The integral inequality plays a key role in developing delay-dependent stability criteria for the linear system with multiple time delays. This paper investigates a novel integral inequality to bound the integral terms in the derivative of the Lyapunov ...
Li Jin, Yong He, Lin Jiang
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IEEE transactions on fuzzy systems, 2021
This article investigates delay-dependent stability analysis and stabilization for continuous Takagi–Sugeno fuzzy systems with a time-varying delay. By employing dynamic delay partition, the delay interval $[0, d(t)]$ is partitioned into some variable ...
Gang Wang, Liang Jia, Hua-guang Zhang
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This article investigates delay-dependent stability analysis and stabilization for continuous Takagi–Sugeno fuzzy systems with a time-varying delay. By employing dynamic delay partition, the delay interval $[0, d(t)]$ is partitioned into some variable ...
Gang Wang, Liang Jia, Hua-guang Zhang
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IEEE Transactions on Neural Networks and Learning Systems, 2020
This paper revisits the problem of stability analysis for neural networks with a time-varying delay. An improved general free-matrix-based (FMB) integral inequality is proposed with an undetermined number $m$ .
Jun Chen, Ju H. Park, Shengyuan Xu
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This paper revisits the problem of stability analysis for neural networks with a time-varying delay. An improved general free-matrix-based (FMB) integral inequality is proposed with an undetermined number $m$ .
Jun Chen, Ju H. Park, Shengyuan Xu
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A new multiple integral inequality and its application to stability analysis of time-delay systems
Applied Mathematics Letters, 2020This paper focuses on the stability problem of linear time-delay systems. Firstly, a generalized vectors-based multiple integral inequality (GVMII) is presented, which can treat some existing results as its special cases.
Yufeng Tian, Zhanshan Wang
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Repeated Integral Inequalities
IMA Journal of Numerical Analysis, 1984The purpose of this paper is to present the following linear generalization of Gronwall's inequality: Let the function x be continuous and non-negative on the interval [0,T]. If \[ x(t)\leq \Phi (t)+M\int^{t}_{0}\int^{t_ m}_{0}...\int^{t_ 1}_{0}[x(s)/(t_ 1-s)^{\alpha}]ds dt_ 1...dt_ m,\quad t\in [0,T], \] where \(\alpha 0\) is constant, and \(\Phi\) (t)
Dixon, Jennifer, McKee, Sean
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Journal of the Franklin Institute, 2020
This paper performs the observer-based exponential stabilization criterion for event-triggered fuzzy systems using observer-based sliding mode fuzzy control subject to limited communication resources and unmeasurable premise variables.
G. Nagamani, C. Karthik, Y. Joo
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This paper performs the observer-based exponential stabilization criterion for event-triggered fuzzy systems using observer-based sliding mode fuzzy control subject to limited communication resources and unmeasurable premise variables.
G. Nagamani, C. Karthik, Y. Joo
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Applied Mathematics and Computation, 2019
This paper focuses on the delay-dependent stability problem of time-varying delay systems. A generalized free-matrix-based integral inequality (GFMBII) is presented.
Hongbing Zeng, Xiao-Gui Liu, Wei Wang
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This paper focuses on the delay-dependent stability problem of time-varying delay systems. A generalized free-matrix-based integral inequality (GFMBII) is presented.
Hongbing Zeng, Xiao-Gui Liu, Wei Wang
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Information Sciences, 2020
This paper investigates the delay-range-dependent (DRD) stability problem in regards to continuous time Takagi–Sugeno (T–S) fuzzy system with variable delays. First, a new integral inequality Lemma referred herein as higher order polynomial based relaxed
R. Datta +4 more
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This paper investigates the delay-range-dependent (DRD) stability problem in regards to continuous time Takagi–Sugeno (T–S) fuzzy system with variable delays. First, a new integral inequality Lemma referred herein as higher order polynomial based relaxed
R. Datta +4 more
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