Linear impulsive control system with impulse time windows

SAGE Publications - Tập 23 Số 1 - Trang 111-118 - 2017
Yuming Feng1,2, Junzhi Yu3, Chuandong Li1, Tingwen Huang4, Hangjun Che1
1School of Electronic Information Engineering, Southwest University, Chongqing, P.R. China
2School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing, P.R. China
3State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences, Beijing, P. R. China
4Department of Mathematics, Texas A&M University at Qatar, Doha, Qatar

Tóm tắt

We formulate the linear impulsive control systems with impulse time windows. Different from the most impulsive systems where the impulses occur at fixed time or when the system states hit a certain hyperplane, the impulse time in the presented systems might be uncertain, but limited to a small time interval, i.e. a time window. Compared with the existing impulsive systems, the systems with impulse time windows is of practical importance. We then study the asymptotic stability of the case of linear systems and obtain several stability criteria. Numerical examples are given to verify the effectiveness of the theoretical results.

Từ khóa


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SAGE Publications

Tập 23 Số 1

111-118

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