Uniformly ultimate boundedness for discontinuous systems with time-delay

作者:Mu Xiao wu; Ding Zhi shuai; Cheng Gui fang*
来源:Applied Mathematics and Mechanics (English Edition ), 2011, 32(9): 1187-1196.
DOI:10.1007/s10483-011-1492-9

摘要

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.