The Lyapunov matrix function and the stability of hybrid systems
Copyright policy )The Lyapunov matrix function and the stability of hybrid systems
The purpose of the present article is to solve the problem of the stability of the equilibrium state of a hybrid (complex) system \(\Sigma\) consisting of a number of rigid, elastic, and liquid substances, related by connecting functions. The subsystems include both stable and unstable ones and the stability of the equilibrium state of the entire system \(\Sigma\) is attained through the stabilizing action of the connecting functions. The method is based on a knowledge of the Lyapunov matrix function and is a further development of the Lyapunov direct method.
stability of the equilibrium state, Stability for nonlinear problems in mechanics, connecting functions, hybrid systems, stabilizing action, Lyapunov matrix function, Lyapunov direct method
stability of the equilibrium state, Stability for nonlinear problems in mechanics, connecting functions, hybrid systems, stabilizing action, Lyapunov matrix function, Lyapunov direct method
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!