Uniformly ultimate boundedness for discontinuous systems with time-delay

The uniformly ultimate boundedness of discontinuous systems with time-delay in the sense of Filippov solutions is discussed.Based on the Lyapunov-Krasovskii functional,the Lyapunov theorem for the globally strongly uniformly ultimate boundedness of retarded discontinuous systems is presented.Further...

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Veröffentlicht in:	Applied mathematics and mechanics 2011-09, Vol.32 (9), p.1187-1196
1. Verfasser:	慕小武丁志帅程桂芳
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Classical Mechanics Fluid- and Aerodynamics Friction Lyapunov定理 Mathematical analysis Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Mechanical systems Partial Differential Equations Theorems 一致最终有界性不连续时间延迟系统机械系统间断
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Zusammenfassung:	The uniformly ultimate boundedness of discontinuous systems with time-delay in the sense of Filippov solutions is discussed.Based on the Lyapunov-Krasovskii functional,the Lyapunov theorem for the globally strongly uniformly ultimate boundedness of retarded discontinuous systems is presented.Furthermore,the result is applied to a class of mechanical systems with a retarded discontinuous friction item.
ISSN:	0253-4827 1573-2754
DOI:	10.1007/s10483-011-1492-9