Impulsive control and synchronization of the Lorenz systems family |
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| Institution: | 1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China;2. Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Hong Kong, China;3. College of Mechanical and Energy Engineering, Zhejiang University, Hangzhou 310027, China;1. Veterinary Epidemiology, Economics and Public Health Group, Production and Population Health Department, Royal Veterinary College, Hatfield AL9 7TA, UK;1. Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, 637371, Singapore;2. School of Mathematics and Statistics, Jiangsu Normal University, China;1. Nuclear Science and Technology Development Center, National Tsing Hua University, 101, Sect. 2, Kuang Fu Road, Hsinchu 30013, Taiwan, ROC;2. Department of Engineering and System Science, National Tsing Hua University, 101, Sect. 2, Kuang Fu Road, Hsinchu 30013, Taiwan, ROC;1. Department of Maths, Yunyang Teachers’ College, Hubei, Shiyan 442000, PR China;2. Computer School of Wuhan University, Wuhan 430079, PR China;3. School of Economics, South-Central University for Nationalities, Wuhan 430074, PR China |
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| Abstract: | In this paper, impulsive control and synchronization for the newly presented Lorenz systems family are systematically investigated. Some new and more comprehensive criteria for global exponential stability and asymptotical stability of impulsively controlled Lorenz systems family are established with varying impulsive intervals. In particular, several simple and easily verified criteria are derived with equivalent impulsive intervals. An illustrative example is also provided to show the effectiveness and feasibility of the impulsive control method. |
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