Open AccessConstruction of multi-parameter Lyapunov function for a nonlinear system
Author(s) -
A. I Ogurtsov
Publication year - 2015
Publication title -
izvestiâ mgtu "mami"
Language(s) - English
Resource type - Journals
eISSN - 2949-1428
pISSN - 2074-0530
DOI - 10.17816/2074-0530-67059
Subject(s) - lyapunov function , lyapunov redesign , nonlinear system , multiplicative function , control lyapunov function , control theory (sociology) , lyapunov optimization , lyapunov equation , function (biology) , mathematics , exponential stability , zero (linguistics) , stability (learning theory) , process (computing) , mathematical optimization , computer science , mathematical analysis , physics , control (management) , artificial intelligence , linguistics , philosophy , quantum mechanics , evolutionary biology , machine learning , biology , operating system
In this paper, the system with two non-linearities, one of which is the multiplicative, constructed Lyapunov function containing 5 variable parameters. There is indicated possible application of this function to locate the region of asymptotic stability of the zero solution and optimization of thetransition process.