Liapunov’s direct method for Birkhoffian systems: Applications to electrical networks
نویسنده
چکیده
In this paper, the concepts and the direct theorems of stability in the sense of Liapunov, within the framework of Birkhoffian dynamical systems on manifolds, are considered. The Liapunov-type functions are constructed for linear and nonlinear LC and RLC electrical networks, to prove stability under certain conditions.
منابع مشابه
Dynamic Systems and Applications 14 (2005) 525-550 NECESSARY AND SUFFICIENT CONDITIONS FOR STABILITY IN VOLTERRA EQUATIONS OF NONCONVOLUTION TYPE
Necessary and sufficient conditions for asymptotic stability in linear Volterra equations of nonconvolution type are established by Liapunov’s direct method. A comparison theorem for nonlinear delay systems is also proved by means of linear integrodifferential inequalities. AMS (MOS) Subject Classification. 34K20, 34D20.
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تاریخ انتشار 2008