全部文献期刊学位论文会议报纸专利标准年鉴图书|学者科研项目
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作者:Tianzeng Li , Yu Wang , Chao Zhao
来源:[J].Advances in Difference Equations(IF 0.76), 2017, Vol.2017 (1)Springer
摘要:... Then we propose a new fractional-order extension of Lyapunov direct method to control the fractional-order chaotic systems. A new synchronization method and a linear feedback controller are given to achieve the synchronization of fractional-order chaotic systems based on a si...
作者:Yu Qiao , Yue Huang , Minghao Chen
来源:[J].Advances in Difference Equations(IF 0.76), 2017, Vol.2017 (1)Springer
摘要:... A systematic method of constructing a global Lyapunov function for the coupled control systems is provided by combining graph theory and the Lyapunov method. Consequently, some novel global input-to-state stability principles are given. As an application to this result, a cou...
作者:Xiang Hu , Hongjuan Wu , Yuming Feng ...
来源:[J].Advances in Difference Equations(IF 0.76), 2017, Vol.2017 (1)Springer
摘要:... We study the stability of the current system by constructing the Lyapunov function. Using the proposed method, we can control the Chua oscillator. The system has two impulse inputs per period, which is more in line with natural law than the system that only has a single-impul...
作者:Quan Xu , Shengxian Zhuang , Xiaohui Xu ...
来源:[J].Advances in Difference Equations(IF 0.76), 2018, Vol.2018 (1), pp.1-15Springer
摘要:... By constructing quadratic Lyapunov functions and utilizing a new property for Caputo fractional derivative we derive some sufficient conditions for the global asymptotical stabilization of a class of fractional-order nonautonomous systems. We give two illustrative examples to...
作者:Abdul Qadeer Khan
来源:[J].Advances in Difference Equations(IF 0.76), 2014, Vol.2014 (1), pp.1-21Springer
摘要:... Furthermore, by constructing a discrete Lyapunov function, we obtain the global asymptotic stability of the unique positive equilibrium point. Some numerical examples are given to verify our theoretical results.(#br) MSC: 39A10, 40A05.
作者:Ravi Agarwal , Snezhana Hristova , Donal O’Regan
来源:[J].Advances in Difference Equations(IF 0.76), 2015, Vol.2015 (1), pp.1-20Springer
摘要:... There are several approaches in the literature to study stability, one of which is the Lyapunov approach. However, the Lyapunov approach to fractional differential equations causes many difficulties. In this paper a new definition (based on the Caputo fractional Dini derivati...
作者:Nadia N Li
来源:[J].Advances in Difference Equations(IF 0.76), 2017, Vol.2017 (1)Springer
摘要:In this paper, a diffusive Leslie-type predator-prey model is investigated. The existence of a global positive solution, persistence, stability of the equilibria and Hopf bifurcation are studied respectively. By calculating the normal form on the center manifold, the formulas det...
作者:Nattakan Supajaidee , Sompop Moonchai
来源:[J].Advances in Difference Equations(IF 0.76), 2017, Vol.2017 (1)Springer
摘要:... We investigate the stability of the equilibrium points of the model by using the linearization method for noncoexistence of equilibrium points and the Lyapunov direct method for the positive coexistence of an equilibrium point. In addition, we obtain sufficient conditions to ...
作者:Morten Hovd , Sorin Olaru
来源:[J].Modeling, Identification and Control(IF 0.714), 2010, Vol.31 (2), pp.45DOAJ
摘要:... In the present paper a piecewise quadratic (PWQ) Lyapunov function is used for the stability verification of an of approximate explicit Model Predictive Control (MPC). A novel relaxation method is proposed for the LMI criteria on the Lyapunov function design. This relaxation ...
作者:Martin Gugat , Günter Leugering , Simona Tamasoiu ...
来源:[J].Chinese Annals of Mathematics, Series B(IF 0.504), 2012, Vol.33 (4), pp.479-500Springer
摘要:... To this end, an explicit Lyapunov function as a weighted and squared H 2 -norm of a small perturbation of the stationary solution is constructed. The authors show that by a suitable choice of the boundary feedback conditions, the H 2 -exponential stability of the stationary s...

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