This paper deals with the L<sub>1</sub> robust stability condition for sampled-data systems with structured linear time-varying uncertainties. This paper first introduces the existing result with respect to the necessary and sufficient con...
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https://www.riss.kr/link?id=A107871025
2021
Korean
003
학술저널
635-636(2쪽)
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
This paper deals with the L<sub>1</sub> robust stability condition for sampled-data systems with structured linear time-varying uncertainties. This paper first introduces the existing result with respect to the necessary and sufficient con...
This paper deals with the L<sub>1</sub> robust stability condition for sampled-data systems with structured linear time-varying uncertainties. This paper first introduces the existing result with respect to the necessary and sufficient condition for the L<sub>1</sub> robust stability of sampled-data systems, in which the spectrum radius of an n×n positive matrix is derived and its supreumum on the sampling interval [0,T) is taken. Because such a supremum computation on [0,T) is a non-trivial task, the existing necessary and sufficient condition cannot be readily applied to a number of practical sampled-data systems. To resolve this difficulty, we develop a gridding approximation-based method, by which the sampling interval [0,T) is divided into M subintervals with en equal with and an upper of the supremum is obtained. The deterioration for the L<sub>1</sub> robust stability analysis occurred in the approximate method is shown to have the convergence rate of (1/M)<sup>1/n</sup>. Finally, a numerical example is given to demonstrate the effectiveness of the approximate method.
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