WebNov 28, 2014 · The global asymptotic stability has been investigated in (see, for instance, [17–19]). Since a globally attractive equilibrium point is locally attractive, a globally … WebFeb 23, 2024 · Download PDF Abstract: For time-invariant finite-dimensional systems, it is known that global asymptotic stability (GAS) is equivalent to uniform global asymptotic stability (UGAS), in which the decay rate and transient overshoot of solutions are requested to be uniform on bounded sets of initial states. This paper investigates this relationship …
Lyapunov stability - Wikipedia
WebJan 15, 2024 · DOI: 10.1016/j.amc.2024.125498 Corpus ID: 222111652; Global asymptotic stability of fractional-order competitive neural networks with multiple time-varying-delay links @article{Xu2024GlobalAS, title={Global asymptotic stability of fractional-order competitive neural networks with multiple time-varying-delay links}, author={Yao Xu and … WebSelect search scope, currently: articles+ all catalog, articles, website, & more in one search; catalog books, media & more in the Stanford Libraries' collections; articles+ journal articles & other e-resources kawasaki petrol hedge trimmer parts
Global asymptotic stability of nonlinear cascade systems
WebMay 30, 2015 · Abstract: This paper investigates robust asymptotic stabilization of rigid body attitude dynamics evolving on the tangent bundle of SO(3) using geometric stochastic feedback control, where the system is subject to a stochastic input torque. To start with, the attitude dynamics is interpreted in the Ito sense. However, due to evolution of the … WebSep 30, 2024 · Abstract. In this work we consider the chemotaxis system with singular sensitivity and signal production in a two dimensional bounded domain. We present the global existence of weak solutions under appropriate regularity assumptions on the initial data. Our results generalize some well-known results in the literature. Various types of stability may be discussed for the solutions of differential equations or difference equations describing dynamical systems. The most important type is that concerning the stability of solutions near to a point of equilibrium. This may be discussed by the theory of Aleksandr Lyapunov. In simple terms, if the solutions that start out near an equilibrium point stay near f… layui filechoose