By using the Razumikhin technique and Lyapunov functions, we investigated the impulsive exponential stabilization of functional differential systems with infinite delay. A new result on the exponential stabilization by impulses is gained. Our result shows that impulses can make unstable systems stable. A numerical example is given to illustrate the feasibility of the result. Copyright (C) 2009 X. Sun and X. Li.
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Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R ChinaShandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China
Li, Xiaodi
Vinodkumar, A.
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Amrita Vishwa Vidyapeetham, Dept Math, Amrita Sch Engn, Coimbatore 641112, Tamil Nadu, IndiaShandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China
Vinodkumar, A.
Senthilkumar, T.
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Amrita Vishwa Vidyapeetham, Dept Math, Amrita Sch Engn, Coimbatore 641112, Tamil Nadu, IndiaShandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China
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Anhui Univ, Sch Math Sci, Hefei 230601, Anhui, Peoples R ChinaAnhui Univ, Sch Math Sci, Hefei 230601, Anhui, Peoples R China
Li, Dianqaing
Cheng, Pei
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Anhui Univ, Sch Math Sci, Hefei 230601, Anhui, Peoples R ChinaAnhui Univ, Sch Math Sci, Hefei 230601, Anhui, Peoples R China
Cheng, Pei
Deng, Feiqi
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South China Univ Technol, Sch Automat Sci & Engn, Guangzhou 510640, Guangdong, Peoples R ChinaAnhui Univ, Sch Math Sci, Hefei 230601, Anhui, Peoples R China
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Amrita Vishwa Vidyapeetham, Amrita Sch Engn, Dept Math, Coimbatore, Tamil Nadu, IndiaAmrita Vishwa Vidyapeetham, Amrita Sch Engn, Dept Math, Coimbatore, Tamil Nadu, India
Vinodkumar, A.
Senthilkumar, T.
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Amrita Vishwa Vidyapeetham, Amrita Sch Engn, Dept Math, Coimbatore, Tamil Nadu, IndiaAmrita Vishwa Vidyapeetham, Amrita Sch Engn, Dept Math, Coimbatore, Tamil Nadu, India
Senthilkumar, T.
Li, Xiaodi
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Shandong Normal Univ, Sch Math & Stat, Jinan, Shandong, Peoples R ChinaAmrita Vishwa Vidyapeetham, Amrita Sch Engn, Dept Math, Coimbatore, Tamil Nadu, India
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Amrita Vishwa Vidyapeetham, Dept Math, Amrita Sch Engn, Coimbatore 641112, Tamil Nadu, IndiaAmrita Vishwa Vidyapeetham, Dept Math, Amrita Sch Engn, Coimbatore 641112, Tamil Nadu, India
Vinodkumar, A.
Senthilkumar, T.
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Amrita Vishwa Vidyapeetham, Dept Math, Amrita Sch Arts & Sci, Kochi 682024, Kerala, IndiaAmrita Vishwa Vidyapeetham, Dept Math, Amrita Sch Engn, Coimbatore 641112, Tamil Nadu, India
Senthilkumar, T.
Hariharan, S.
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DG Vaishnav Coll, Dept Math, Chennai, Tamil Nadu, IndiaAmrita Vishwa Vidyapeetham, Dept Math, Amrita Sch Engn, Coimbatore 641112, Tamil Nadu, India
Hariharan, S.
Alzabut, J.
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Prince Sultan Univ, Dept Math & Gen Sci, Riyadh 11586, Saudi ArabiaAmrita Vishwa Vidyapeetham, Dept Math, Amrita Sch Engn, Coimbatore 641112, Tamil Nadu, India