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一个改进的非线性时滞系统Razumikhin型稳定性判据
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作者 尹燕娜 冯立康 姚立强 《鲁东大学学报(自然科学版)》 2025年第1期83-88,共6页
本文研究一类非线性时滞系统的稳定性问题,提出了一个改进的Razumikhin型全局一致实用指数稳定性判据。与现有的稳定性判据相比,所提出的稳定性结论突破了Lyapunov函数导数必须是负定的限制条件,允许其导数可以是不定的。为了说明稳定... 本文研究一类非线性时滞系统的稳定性问题,提出了一个改进的Razumikhin型全局一致实用指数稳定性判据。与现有的稳定性判据相比,所提出的稳定性结论突破了Lyapunov函数导数必须是负定的限制条件,允许其导数可以是不定的。为了说明稳定性判据的合理性,给出了仿真算例进行验证。 展开更多
关键词 Razumikhin方法 时滞系统 实用指数稳定
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Semi-Global Practical Stability of Random Systems and Its Application
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作者 YANG Cun WU Zhaojing feng likang 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2023年第6期2398-2414,共17页
In this paper,a new stochastic analysis tool on semi-global stability is constructed,for nonlinear systems disturbed by stochastic processes with strongly bounded in probability.The definition of semi-global noise to ... In this paper,a new stochastic analysis tool on semi-global stability is constructed,for nonlinear systems disturbed by stochastic processes with strongly bounded in probability.The definition of semi-global noise to state practical stability in probability and its Lyapunov criterion for random systems are presented.As a major application of stability,the semi-global practical tracking of random nonlinear systems based on dynamic surface control technique is considered.The trajectory tracking of manipulator robot driven by direct current motors is carried out in simulation to illustrate the effectiveness and feasibility of the control scheme. 展开更多
关键词 Dynamic surface control random disturbance ROBOT semi-global practical stability
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