This paper deals with the stability of systems with discontinuous righthand side （with solutions in Filippov＇s sense） via locally Lipschitz continuous and regular vector Lyapunov functions. A new type of “set-valu...This paper deals with the stability of systems with discontinuous righthand side （with solutions in Filippov＇s sense） via locally Lipschitz continuous and regular vector Lyapunov functions. A new type of “set-valued derivative” of vector Lyapunov functions is introduced, some generalized comparison principles on discontinuous systems are shown. Furthermore, Lyapunov stability theory is developed for a class of discontinuous systems based on locally Lipschitz continuous and regular vector Lyapunov functions.展开更多
This paper aims at explaining the importance and function of the character Lena Grove in William Faulkner’s famous novel Light in August. The meaning of the title is explored by making comparisons between Lena and ot...This paper aims at explaining the importance and function of the character Lena Grove in William Faulkner’s famous novel Light in August. The meaning of the title is explored by making comparisons between Lena and other main characters.展开更多
文摘This paper deals with the stability of systems with discontinuous righthand side （with solutions in Filippov＇s sense） via locally Lipschitz continuous and regular vector Lyapunov functions. A new type of “set-valued derivative” of vector Lyapunov functions is introduced, some generalized comparison principles on discontinuous systems are shown. Furthermore, Lyapunov stability theory is developed for a class of discontinuous systems based on locally Lipschitz continuous and regular vector Lyapunov functions.
文摘This paper aims at explaining the importance and function of the character Lena Grove in William Faulkner’s famous novel Light in August. The meaning of the title is explored by making comparisons between Lena and other main characters.
