共查询到18条相似文献,搜索用时 744 毫秒
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一类时变仿射非线性系统的完全线性化 总被引:1,自引:0,他引:1
本用微分几何方法讨论时变仿射非线性系统的完全线性化问题,即同时线性化状态方程和输出方程,给出了一类时变仿射非线性系统完全线性化的充分条件。 相似文献
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时变仿射非线性系统的动态补偿线性化 总被引:2,自引:0,他引:2
张仁忠 《纯粹数学与应用数学》1998,14(2):38-42
用微分几何方法讨论了时变仿射非线性系统的动态补偿线性化问题,给出了系统动态的反馈线性化的条件,它是状态反馈线性化的推广。 相似文献
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本文用微分几何方法讨论了一类时变仿射非线性系统(即n=m+1)的动态状态反馈线性化与系统的线性近似的关系,得出了系统可动态状态反馈线性化的条件。 相似文献
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基于小波包分解的非线性时变系统辩识 总被引:2,自引:0,他引:2
在实际应用中,经常会碰到非线性时变系统,它们的辨识和建模比较困难.本文采用时变Hammerstein模型描述时变非线性系统.该模型可以以较简单的方式刻划系统的时变特性和非线性特性.然后用小波包对时变系数进行展开,把时变系统的辨识转化为对时不变系数的辨识. 相似文献
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分析一类含小参数的时变非线性系统关于给定状态约束集合的技术稳定性.根据向量微分比较原理和基本的单调性准则,利用向量V函数方法给出由系统系数表达的技术稳定性判据.并讨论了基于派生系统和线性化方法研究非线性系统技术稳定性的条件.另外,对于派生时变线性系统的指数稳定性给出了简单的代数判据.最后给出示例说明文中方法. 相似文献
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基于Caputo分数阶导数,研究了分数阶时变广义线性系统和分数阶时变广义非线性系统的稳定性问题.首先利用相关不等式,给出了一个时变广义线性系统无脉冲且稳定的充分条件.然后,通过慢子系统来判断快子系统的变化,并利用Riccati方程,建立了分数阶时变广义非线性系统是渐近稳定的判定准则.最后,给出了算例和Simulink仿真结果,以说明结论的正确性. 相似文献
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A nonlinear inequality and application to global asymptotic stability of perturbed systems 下载免费PDF全文
The goal of this work is to present a new nonlinear inequality which is used in a study of the Lyapunov uniform stability and uniform asymptotic stability of solutions to time‐varying perturbed differential equations. New sufficient conditions for global uniform asymptotic stability and/or practical stability in terms of Lyapunov‐like functions for nonlinear time‐varying systems is obtained. Our conditions are expressed as relation between the Lyapunov function and the existence of specific function which appear in our analysis through the solution of a scalar differential equation. Moreover, an example in dimensional two is given to illustrate the applicability of the main result. Copyright © 2014 John Wiley & Sons, Ltd. 相似文献
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Symmetry analysis of the nonlinear two‐dimensional Klein–Gordon equation with a time‐varying delay 下载免费PDF全文
The group analysis method is applied to the two‐dimensional nonlinear Klein–Gordon equation with time‐varying delay. Determining equations for equations with a time‐varying delay are derived. A complete group classification of the studied equation with respect to the function involved into the equation is obtained. All admitted Lie algebras are classified. By using the classifications, representations of all invariant solutions are found. Copyright © 2017 John Wiley & Sons, Ltd. 相似文献
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Exponential stabilization and L2‐gain for uncertain switched nonlinear systems with interval time‐varying delay 下载免费PDF全文
Yali Dong Tianrui Li Shengwei Mei 《Mathematical Methods in the Applied Sciences》2016,39(13):3836-3854
This paper is concerned with the exponential stabilization and L2‐gain for a class of uncertain switched nonlinear systems with interval time‐varying delay. Based on Lyapunov–Krasovskii functional method, novel delay‐dependent sufficient conditions of exponential stabilization for a class of uncertain switched nonlinear delay systems are developed under an average dwell time scheme. Then, novel criteria to ensure the exponential stabilization with weighted L2‐gain performance for a class of uncertain switched nonlinear delay systems are established. Furthermore, an effective method is proposed for the designing of a stabilizing feedback controller with L2‐gain performance. Finally, some numerical examples are given to illustrate the effectiveness of the theoretical results. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
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Yali Dong Shuang Liang Huiming Wang 《Mathematical Methods in the Applied Sciences》2019,42(6):1999-2015
This paper considers the problems of the robust stability analysis and H∞ controller synthesis for uncertain discrete‐time switched systems with interval time‐varying delay and nonlinear disturbances. Based on the system transformation and by introducing a switched Lyapunov‐Krasovskii functional, the novel sufficient conditions, which guarantee that the uncertain discrete‐time switched system is robust asymptotically stable are obtained in terms of linear matrix inequalities. Then, the robust H∞ control synthesis via switched state feedback is studied for a class of discrete‐time switched systems with uncertainties and nonlinear disturbances. We designed a switched state feedback controller to stabilize asymptotically discrete‐time switched systems with interval time‐varying delay and H∞ disturbance attenuation level based on matrix inequality conditions. Examples are provided to illustrate the advantage and effectiveness of the proposed method. 相似文献
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In this paper, we generalize the well-known instability theoremof N.G. Chetaev concering instability of a differential equation,to derive sufficient conditions for instability at a specifiedequilibrium point of nonlinear systems that are affine in control. 相似文献
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Wenhua Xia Yiping Luo Bifeng Zhou 《Mathematical Methods in the Applied Sciences》2019,42(18):7233-7242
This study examines finite‐time synchronization for a class of N‐coupled complex partial differential systems (PDSs) with time‐varying delay. The problem of finite‐time synchronization for coupled drive‐response PDSs with time‐varying delay is similarly considered. The synchronization error dynamic of the PDSs is defined in the q‐dimensional spatial domain. We construct a feedback controller to achieve finite‐time synchronization. Sufficient conditions are derived by using the Lyapunov‐Krasoviskii stability approach and inequalities technology to ensure that the proposed networks achieve synchronization in finite time. The proposed systems demonstrate extensive application. Finally, an example is used to verify the theoretical results. 相似文献
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Using asymptotic methods we show that the long-time dynamic behavior in certain systems of nonlinear parabolic differential equations is described by a time-dependent, spatially inhomogeneous nonlinear evolution equation. For problems with multiple stable states, the solution develops sharp fronts separating slowly varying regions. By studying the basins of attraction of Abel's nonlinear differential equation, we demonstrate that the presence of explicit time dependence in the asymptotic evolution equation creates “forbidden regions” where the existence of interfaces is excluded. Consequently, certain configurations of stable states in the nonlinear system become inaccessible and cannot be achieved from any set of real initial conditions. 相似文献
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In this paper, stability of time varying singular differential systems with delay is considered. Based on variation formula and Gronwall-Bellman integral inequality, we obtain the exponential estimation of the solution and the sufficient conditions under which the considered system is stable and exponentially asymptotically stable. These results will be very useful to further research on Roust stability and control design of uncertain singular control systems with delay. 相似文献