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Applicable Analysis
An International Journal
Volume 82, 2003 - Issue 2
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Original Articles

Exponential Stability of Singularly Perturbed Systems with Time Delay

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Pages 117-130 | Published online: 09 Sep 2010

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Kyung-In Kang, Kyun-Sang Park & Jong-Tae Lim. (2015) Exponential stability of singularly perturbed systems with time delay and uncertainties. International Journal of Systems Science 46:1, pages 170-178.
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Articles from other publishers (22)

Mohamad S. Alwan & Xinzhi LiuMohamad S. Alwan & Xinzhi Liu. 2018. Theory of Hybrid Systems: Deterministic and Stochastic. Theory of Hybrid Systems: Deterministic and Stochastic 5 58 .
Yang Yang, Yuandan Lin & Yuan Wang. (2016) Stability analysis via averaging for singularly perturbed nonlinear systems with delays. Stability analysis via averaging for singularly perturbed nonlinear systems with delays.
Saul Puga, Moises Bonilla, Michel Malabre, Sabine Mondié & Rogelio Lozano. (2016) Singularly perturbed implicit control law for linear time-varying delay MIMO systems. International Journal of Robust and Nonlinear Control 26:7, pages 1395-1421.
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Huamin Wang, Shukai Duan, Chuandong Li, Lidan Wang & Tingwen Huang. (2016) Globally exponential stability of delayed impulsive functional differential systems with impulse time windows. Nonlinear Dynamics 84:3, pages 1655-1665.
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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 .
Xiaodi Li, Jianhua Shen, Haydar Akca & R. Rakkiyappan. (2015) LMI-based stability for singularly perturbed nonlinear impulsive differential systems with delays of small parameter. Applied Mathematics and Computation 250, pages 798-804.
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S. Puga, M. Bonilla, S. Mondie & M. Malabre. (2014) Singularly perturbed implicit control law for linear time varying delay SISO systems with unknown parameters. Singularly perturbed implicit control law for linear time varying delay SISO systems with unknown parameters.
S. Puga, M. Bonilla, S. Mondié & M. Malabre. (2014) Singularly perturbed control law for linear time-invariant delay SISO systems. Boletín de la Sociedad Matemática Mexicana 20:1, pages 69-85.
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Liguang Xu, Zhixia Ma & Hongxiao Hu. (2014) MEAN SQUARE EXPONENTIAL DISSIPATIVITY OF SINGULARLY PERTURBED STOCHASTIC DELAY DIFFERENTIAL EQUATIONS. Communications of the Korean Mathematical Society 29:1, pages 205-212.
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Yang Yang & Yuan Wang. (2013) Robust stability of singularly perturbed systems with delays. Robust stability of singularly perturbed systems with delays.
G. L. Zhang, M. H. Song & M. Z. Liu. (2013) Exponential Stability of Impulsive Delay Differential Equations. Abstract and Applied Analysis 2013, pages 1-6.
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Yongxiang Zhao, Aiguo Xiao & Li Li. (2013) Input-to-State Stability of Singularly Perturbed Control Systems with Delays. Journal of Applied Mathematics 2013, pages 1-8.
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G. L. Zhang, M. H. Song & M. Z. Liu. (2012) Asymptotic Stability of a Class of Impulsive Delay Differential Equations. Journal of Applied Mathematics 2012, pages 1-9.
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Liguang Xu. (2011) Exponential p-stability of singularly perturbed impulsive stochastic delay differential systems. International Journal of Control, Automation and Systems 9:5, pages 966-972.
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Wu-Hua Chen, Shui-Tao Yang, Xiaomei Lu & Yanjun Shen. (2010) Exponential stability and exponential stabilization of singularly perturbed stochastic systems with time-varying delay. International Journal of Robust and Nonlinear Control 20:18, pages 2021-2044.
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Wu-Hua Chen, Fu Chen & Xiaomei Lu. (2010) Exponential stability of a class of singularly perturbed stochastic time-delay systems with impulse effect. Nonlinear Analysis: Real World Applications 11:5, pages 3463-3478.
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Mohamad S. Alwan & Xinzhi Liu. (2009) Stability of singularly perturbed switched systems with time delay and impulsive effects. Nonlinear Analysis: Theory, Methods & Applications 71:9, pages 4297-4308.
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Danhua He & Liguang Xu. (2009) Integrodifferential Inequality for Stability of Singularly Perturbed Impulsive Delay Integrodifferential Equations. Journal of Inequalities and Applications 2009:1, pages 369185.
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Mohamad Alwan, Xinzhi Liu & Brian Ingalls. (2008) Exponential stability of singularly perturbed switched systems with time delay. Nonlinear Analysis: Hybrid Systems 2:3, pages 913-921.
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Xinzhi Liu & Qing Wang. (2007) The method of Lyapunov functionals and exponential stability of impulsive systems with time delay. Nonlinear Analysis: Theory, Methods & Applications 66:7, pages 1465-1484.
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Wei Zhu, Daoyi Xu & Chunde Yang. (2007) Exponential stability of singularly perturbed impulsive delay differential equations. Journal of Mathematical Analysis and Applications 328:2, pages 1161-1172.
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Qing Wang & Xinzhi Liu. (2005) Exponential stability for impulsive delay differential equations by Razumikhin method. Journal of Mathematical Analysis and Applications 309:2, pages 462-473.
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