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Articles

The construction of augmented Lyapunov-Krasovskii functionals and the estimation of their derivatives in stability analysis of time-delay systems: a survey

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Pages 2480-2495 | Received 29 Sep 2021, Accepted 09 Nov 2021, Published online: 26 Nov 2021

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Antonio González-Sorribes. (2023) Hierarchical conditions for exponential stabilisation of time-varying delay systems using Bessel–Legendre inequalities and Finsler's lemma. International Journal of Systems Science 54:11, pages 2337-2351.
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Xi‐Zi Zhou, Jianqi An & Yong He. (2024) Robust stability analysis for uncertain systems with time‐varying delay via variable augmentation approach. International Journal of Robust and Nonlinear Control.
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S. Arunagirinathan & TaeHee Lee. (2023) General stability criteria for time‐delay systems using a new delay‐dependent reciprocally convex inequality. Mathematical Methods in the Applied Sciences 47:1, pages 565-575.
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Guoyi Li, Jun Wang, Kaibo Shi & Yiqian Tang. (2024) Some novel results for DNNs via relaxed Lyapunov functionals. Mathematical Modelling and Control 4:1, pages 110-118.
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Antonio González-Sorribes, Rafael Carbonell, Angel Cuenca & Julian Salt. (2024) Control Synthesis of Nonholonomic Mobile Robots Under Time-Varying Delays and Input Saturation: Experimental Validation. IEEE Access 12, pages 40255-40266.
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Tae H. Lee & Ju H. Park. (2023) Novel inequality-based functions for the stability of time-varying delay systems. Journal of the Franklin Institute 360:12, pages 7898-7911.
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Yiqun Liu, Guangming Zhuang, Junsheng Zhao, Junwei Lu & Zekun Wang. (2023) H∞.. admissibilization for time-varying delayed nonlinear singular impulsive jump systems based on memory state-feedback control. Applied Mathematics and Computation 447, pages 127921.
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Yuli Wang, Jiaqi Zhang & Bin Yang. (2023) Stability Analysis of Linear Systems with Time-Varying Delay via Generalized Augmented Intermediate Polynomial-Based Functions. Stability Analysis of Linear Systems with Time-Varying Delay via Generalized Augmented Intermediate Polynomial-Based Functions.
Shihong Su, Bing Xiao, Lingwei Li, Jinfeng Luo & Hui Zhao. (2023) An Improved Data-Driven Modeling Method for Aircraft Based on Prediction and Optimization. An Improved Data-Driven Modeling Method for Aircraft Based on Prediction and Optimization.
Tian-Shun Peng, Hong-Bing Zeng, Wei Wang, Xian-Ming Zhang & Xin-Ge Liu. (2023) General and Less Conservative Criteria on Stability and Stabilization of T–S Fuzzy Systems With Time-Varying Delay. IEEE Transactions on Fuzzy Systems 31:5, pages 1531-1541.
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Ke‐You Xie, Wen‐Hu Chen, Li Jin, Chuan‐Ke Zhang & Yong He. (2022) Novel stability criteria for discrete‐time delayed neural networks via extended negative‐definiteness approaches of matrix‐valued quadratic function. IET Control Theory & Applications 17:5, pages 580-590.
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Mohamed Rouamel, Lucas A. L. Oliveira, Fayçal Bourahala, Kevin Guelton & Koffi M. D. Motchon. (2023) Network Control Systems Design Under Deception Attacks With Dynamic Event-Triggering Mechanism. IEEE Control Systems Letters 7, pages 3265-3270.
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Yizhen Ling, Zhiwu Xiong, Weijian Guan & Ruobing He. (2023) Stability Analysis of Two-Area LFC Power Systems With Two Additive Interval Time-Varying Delays. IEEE Access 11, pages 140546-140558.
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Wei Wang, Wei-Min Wang & Hong-Bing Zeng. (2023) Stability analysis of systems with cyclical delay via an improved delay-monotonicity-dependent Lyapunov functional. Journal of the Franklin Institute 360:1, pages 99-108.
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Ching-Min Lee & Chun-An Cheng. (2023) Admissibility Analysis and Control for Discrete-Time Singular Systems with Interval Time-Varying Delay. IFAC-PapersOnLine 56:2, pages 9173-9178.
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Yan Dong, Junwei Chen & Jinde Cao. (2022) Fixed-time pinning synchronization for delayed complex networks under completely intermittent control. Journal of the Franklin Institute 359:14, pages 7708-7732.
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Antonio González. (2022) Improved results on stability analysis of time-varying delay systems via delay partitioning method and Finsler’s lemma. Journal of the Franklin Institute 359:14, pages 7632-7649.
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Long Jin, Xin Zheng & Xin Luo. (2022) Neural Dynamics for Distributed Collaborative Control of Manipulators With Time Delays. IEEE/CAA Journal of Automatica Sinica 9:5, pages 854-863.
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