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Original Articles

Exponential stability of singularly perturbed systems with time delay and uncertainties

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Pages 170-178 | Received 21 Aug 2012, Accepted 28 Jan 2013, Published online: 04 Mar 2013

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Jing Xu & Yugang Niu. (2019) Disturbance-observer-based LQR control of singularly perturbed systems via recursive decoupling methods. International Journal of Systems Science 50:4, pages 764-776.
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Yifang Yan, Chunyu Yang, Xiaoping Ma & Linna Zhou. (2018) Sampled-data H∞ filtering for Markovian jump singularly perturbed systems with time-varying delay and missing measurements. International Journal of Systems Science 49:3, pages 464-478.
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Xifang Sun, Weisheng Chen & Jian Wu. (2016) Global adaptive exponential stabilisation for nonlinear systems with multiple unknown control directions. International Journal of Systems Science 47:16, pages 3908-3918.
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R. Krishnasamy & P. Balasubramaniam. (2015) Stabilisation analysis for switched neutral systems based on sampled-data control. International Journal of Systems Science 46:14, pages 2531-2546.
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Yan Lei, Yan-Wu Wang, Xiao-Kang Liu & Irinel-Constantin Morărescu. (2023) Semi-Global Bounded Output Regulation of Linear Two-Time-Scale Systems With Input Saturation. IEEE Transactions on Circuits and Systems I: Regular Papers 70:11, pages 4560-4569.
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Tian-tian Yu, Yan-wu Wang, Yan Lei, Xiao-kang Liu & Zhi-wei Liu. (2023) Event-triggered and self-triggered impulsive control for two-time-scale systems. Nonlinear Analysis: Hybrid Systems 48, pages 101309.
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Gaofeng Fan & Yuechao Ma. (2023) Fault-tolerant fixed/preassigned-time synchronization control of uncertain singularly perturbed complex networks with time-varying delay and stochastic disturbances. Chaos, Solitons & Fractals 170, pages 113394.
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Kun Liang, Wangli He, Jing Xu & Feng Qian. (2022) Impulsive Effects on Synchronization of Singularly Perturbed Complex Networks With Semi-Markov Jump Topologies. IEEE Transactions on Systems, Man, and Cybernetics: Systems 52:5, pages 3163-3173.
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K. Sivaranjani, R. Rakkiyappan, Jinde Cao & Ahmed Alsaedi. (2017) Synchronization of nonlinear singularly perturbed complex networks with uncertain inner coupling via event triggered control. Applied Mathematics and Computation 311, pages 283-299.
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Valery Y. Glizer, Emilia Fridman & Yuri Feigin. (2017) A Novel Approach to Exact Slow-Fast Decomposition of Linear Singularly Perturbed Systems with Small Delays. SIAM Journal on Control and Optimization 55:1, pages 236-274.
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Wenjing Ren, Bin Jiang & Hao Yang. (2016) A survey on singular perturbation theory in aerospace application. A survey on singular perturbation theory in aerospace application.
R. Rakkiyappan & K. Sivaranjani. (2016) Sampled-data synchronization and state estimation for nonlinear singularly perturbed complex networks with time-delays. Nonlinear Dynamics 84:3, pages 1623-1636.
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Mohamad S. Alwan, Xinzhi Liu & Taghreed G. Sugati. 2016. Mathematical and Computational Approaches in Advancing Modern Science and Engineering. Mathematical and Computational Approaches in Advancing Modern Science and Engineering 379 388 .
Lei Zhou, Shuijing Liu & Xiaoqing Xiao. (2015) H<inf>&#x221E;</inf> filtering for Lipschitz nonlinear singularly perturbed descriptor systems. H<inf>&#x221E;</inf> filtering for Lipschitz nonlinear singularly perturbed descriptor systems.
Mashitah Che Razali, Norhaliza Abdul Wahab, P. Balaguer, M. F. Rahmat & Sharatul Izah Samsudin. (2015) Singularly Perturbation Method Applied To Multivariable PID Controller Design. Mathematical Problems in Engineering 2015, pages 1-22.
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