Abstract
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.
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Project supported by the National Natural Science Foundation of China (No. 60874006)
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Mu, Xw., Ding, Zs. & Cheng, Gf. Uniformly ultimate boundedness for discontinuous systems with time-delay. Appl. Math. Mech.-Engl. Ed. 32, 1187–1196 (2011). https://doi.org/10.1007/s10483-011-1492-9
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DOI: https://doi.org/10.1007/s10483-011-1492-9