A whole impulsive control scheme of nonlinear systems with time-varying delays, which is an extension for impulsive control of nonlinear systems without time delay, is presented in this paper. Utilizing the Lyapunov functions and the impulsive-type comparison principles, we establish a series of different conditions under which impulsively controlled nonlinear systems with time-varying delays are asymptotically stable. Then we estimate upper bounds of impulse interval and time-varying delays for asymptotically stable control. Finally a numerical example is given to illustrate the effectiveness of the method.
机构:
Shandong Normal Univ, Sch Management & Econ, Jinan 250014, Peoples R ChinaShandong Normal Univ, Sch Management & Econ, Jinan 250014, Peoples R China
机构:
Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R ChinaHarbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China
Wang, Xiubo
Duan, Guangren
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机构:
Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China
Southern Univ Sci & Technol, Ctr Control Sci & Technol, Shenzhen 518055, Peoples R ChinaHarbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China
机构:
Shandong Normal Univ, Sch Management & Econ, Jinan 250014, Peoples R ChinaShandong Normal Univ, Sch Management & Econ, Jinan 250014, Peoples R China
机构:
Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R ChinaHarbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China
Wang, Xiubo
Duan, Guangren
论文数: 0引用数: 0
h-index: 0
机构:
Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China
Southern Univ Sci & Technol, Ctr Control Sci & Technol, Shenzhen 518055, Peoples R ChinaHarbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China