Journal
NEUROCOMPUTING
Volume 193, Issue -, Pages 7-13Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.neucom.2016.01.059
Keywords
Single state-jumps; Alternate state-jumps; Triple multiple state-jumps; Multiple state-jumps; Impulse time windows; Chua's oscillator
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Funding
- Natural Science Foundation of China [61374078]
- NPRP Grant from the Qatar National Research Fund (a member of Qatar Foundation) [NPRP 4-1162-1-181]
- Scientific & Technological Research Foundation of Chongqing Municipal Education Commission [KJ1401006, KJ1401019]
- Fundamental Research Funds for the Central Universities [XDJK2015D004]
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In this paper, we list a kind of periodically control system with each of its period contains multiple impulses, whose occurrences are limited to small time intervals, i.e., impulse time windows, but are unknown. We first propose three new mathematical models of this system, namely periodically single state-jumps impulsive control systems with impulse time windows, periodically double state-jumps impulsive control systems with impulse time windows and periodically triple state-jumps impulsive control systems with impulse time windows, then by induction, we obtain periodically multiple state jumps impulsive control systems with impulse time windows. Next, we study the stability of them and obtain their stability criteria by LMIs. Finally Chua's oscillator is controlled by using three different kinds of methods obtained in this paper. (C) 2016 Elsevier B.V. All rights reserved.
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