Novel stability results for aperiodic sampled-data systems |
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| Authors: | Hanyong Shao Lin Shao Zongying Feng |
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| Institution: | 1. The Institute of Automation, Qufu Normal University, Rizhao 276826, Shandong Province, China;2. College of Electronics, Communication and Physics, Shandong University of Science and Technology, Qingdao 266590, Shandong Province, China |
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| Abstract: | This paper is concerned with stability for aperiodic sampled-data systems. Firstly, for aperiodic sampled-data systems without uncertainties, a new Lyapunov-like functional is constructed by introducing the double integral of the derivative of the state, the integral of the state, and the integral of the cross term of the state and the sampled state. When estimating the derivative of the Lyapunov-like functional, superior integral inequalities to Jensen inequality are employed to get a tighter upper bound. By the Lyapunov-like functional principle, sampling-interval-dependent stability results are derived. Then, the stability results are extended to aperiodic sampled-data systems with polytopic uncertainties. Finally, some examples are listed to show the stability results have less conservatism than some existing ones. |
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| Keywords: | Corresponding author |
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