We consider the equation du(t)/dt = Au ( t ) + Bu(t - h ) where t > 0, h is a positive constant, and A is a linear unbounded and B is a linear bounded operators. We establish explicit delay-dependent conditions for exponential stability, and present applications to partial integro-differential equations with delay.
机构:
Nanjing Univ Finance & Econ, Sch Appl Math, Nanjing, Peoples R ChinaNanjing Univ Finance & Econ, Sch Appl Math, Nanjing, Peoples R China
Song, Ruili
Wang, Bo
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Nanjing Univ Finance & Econ, Sch Appl Math, Nanjing, Peoples R ChinaNanjing Univ Finance & Econ, Sch Appl Math, Nanjing, Peoples R China
Wang, Bo
Zhu, Quanxin
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Hunan Normal Univ, Sch Math & Stat, Changsha 410081, Peoples R China
Chengdu Univ, Sch Informat Sci & Engn, Chengdu, Peoples R ChinaNanjing Univ Finance & Econ, Sch Appl Math, Nanjing, Peoples R China
机构:
Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
Guangzhou Univ, Guangzhou Ctr Appl Math, Guangzhou 510006, Peoples R ChinaGuangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
Lin, Genghong
Wang, Lin
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Univ New Brunswick, Dept Math & Stat, Fredericton, NB E3B 5A3, CanadaGuangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
Wang, Lin
Yu, Jianshe
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Guangzhou Univ, Guangzhou Ctr Appl Math, Guangzhou 510006, Peoples R ChinaGuangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
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Dalian Univ Technol, Res Ctr Informat & Control, Dalian 116023, Peoples R ChinaDalian Univ Technol, Res Ctr Informat & Control, Dalian 116023, Peoples R China
Wang, Dong
Wang, Wei
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Dalian Univ Technol, Res Ctr Informat & Control, Dalian 116023, Peoples R ChinaDalian Univ Technol, Res Ctr Informat & Control, Dalian 116023, Peoples R China
Wang, Wei
Shi, Peng
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Univ Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
Victoria Univ, Sch Comp Sci & Math, ILSCM, Melbourne, Vic 8001, Australia
Univ S Australia, Sch Math & Stat, Adelaide, SA 5001, AustraliaDalian Univ Technol, Res Ctr Informat & Control, Dalian 116023, Peoples R China