Lyapunov stability theoryFinite time synchronizationNonlinear controlLorenz chaotic systemLorenz hyperchaotic systemThis article proves that the robust finite-time synchronization behavior can be achieved for the chaotic systems with different orders. Based on the Lyapunov stability theory and using the ...
By utilizing finite-time control technique,a global finite-time control scheme is proposed for a class of nonlinear integrator systems subject to input saturation.First of all,based on finite-time Lyapunov stability theory,a global finitetime recursive stabilizing controller is presented.Then by ...
In this paper, an energy-based Lyapunov function is used to analyze the stability of internal dynamics of a PV system. The performance of the controller... Mahmud, M.A.,Pota, H.R.,Hossain, M.J. - 《IEEE Transactions on Sustainable Energy》 被引量: 59发表: 2014年 Nonlinear Feature of...
During finite-time synchronization, the controllers are designed systematically via the Lyapunov stability theory. The numerical simulations and graphical results demonstrate the validity of the finite-time synchronization technique. It is concluded that (0,1.0091) is the domain where the system is ...
Finite-time stability (FTS) is a more practical concept than classical Lyapunov stability, useful for checking whether the state trajectories of a system remain within pre-specified bounds over a finite time interval. In a linear systems framework, FTS problems can be cast as convex optimization ...
The finite-time stability analysis is proved by Lyapunov theory. The simulation results considering the symmetric constraint as well as the asymmetric constraint are provided to demonstrate the validity of the proposed control method.doi:10.1016/j.amc.2020.125752Liu, Lu...
The object of this dissertation is to provide a rigorous foundation for the theory of finite-time stability of continuous autonomous systems and motivate a closer examination of finite-time stability as a possible objective in control design. Accordingly, the notion of finite-time stability is ...
On the one hand, we study the finite-time stability by using the well-known comparison principle, the scalar finite-time stable function, and the scalar finite-time escaping function, and will establish some Lyapunov-like stability theorems. On the other hand, we revisit the problem of finite...
stochastic perturbation unified chaotic system finite-time synchronization Ito formula Lyapunov stability theory Full-Text Cite this paper Add to My Lib Abstract: 本文研究了具有随机扰动的统一混沌系统的有限时间同步问题,其中随机扰动是一维标准的维纳随机过程.利用了有限时间随机李雅普诺夫稳定性理论、伊藤...
Robust finite-time stability and stabilisation of switched positive systems. Then, the problem of robust finite-time stabilisation of non-autonomous systems with a weighted l1-gain is solved. All the proposed conditions are ... J Zhang,Z Han,H Wu - 《Iet Control Theory & Applications》 被引...