指数稳定性

• This dissertation mainly discusses the exponential stability of switched systems and the sufficient conditions of exponential stability are presented
  本论文主要研究了切换系统的指数稳定性问题，并给出了保证系统切换指数稳定的充分条件。
• Besides , our paper has discussed another problem , which is the non - exponential stability of infinite - dimensional linear systems under generating compact perturbation
  另外，本文还讨论了第二个问题，就是无限维线性系统在生成的紧扰动下的非指数稳定性。
• The existence of the equilibrium point and global exponential stability of distributed delays neural networks with reaction - diffusion terms are investigated in this paper
  摘要研究了具反应扩散有限连续分布细胞神经网络的平衡点的存在性及全局指数稳定性问题。
• In section 3 , 4 , 5 , we respectively prove the existence and uniqueness of equilibrium , periodic solution and almost periodic solution and the global exponential stability
  第三部分为周期解的存在唯一性及全局指数稳定性。第四部分为平衡点的存在唯一性及全局指数稳定性。
• Russell ( [ 17 ] ) has showed that , a compact perturbation , generated from unitary operator groups in infinite - dimensional linear hilbert spaces , is unable to make the perturbed semigroup exponentially stable
  Russell ( [ 17 ] )曾指出，无限维hilbert空间中的酉算子群对生成的紧扰动不能使被扰动半群具有指数稳定性。
• It is desirable to model them by introducing distributed delays . we present some new conditions ensuring global exponential stability of the equilibrium point by utilizing lyapunov functionals and constant variant method
  本文应用传统的lyapunov泛函法及常数变易法研究了这类模型的全局指数稳定性，获得了几个充分条件。
• The sufficient conditions ensuring existence and globally exponential stability of periodic solutions for neural networks with delays are obtained by using coincide degree , m - matrix theory and liapunov function method
  摘要运用重合度理论、 m -矩阵理论及李雅普诺夫方法，获得了带时滞神经网络周期解存在性和全局指数稳定性的充分条件。
• Then linear control technique is applied to the linear subsystem of the transformed equivalent systems to design the controller , thus a nonlinear controller of the original chaotic systems is obtained , which is proved to be exponentially stable
  然后利用线性控制方法对变换后的等价系统中的线性子系统进行了控制器设计，由此设计出原混沌系统的非线性控制器，并证明其具有指数稳定性。
• 2 . using techniques of liapunov functions and inner products , we extend the approach and the results in part i and give criterion on the stability , asymptotic stability and exponential stability with respect to partial variables for time - varying nonlinear systems
  二、仍然使用上述方法再加上liapunov函数及内积等技巧，研究了非线性时变系统对部分变元的稳定性、渐近稳定性、指数稳定性，推广了第一部分结果。
• For this reason , theoretical study of neural dynamics has advanced rapidly in recent years . in this dissertation , we investigate the stability , bifurcation and chaotic phenomena of feedback neural networks including hopfield network and cellular neural networks ( cnns )
  本文对反馈神经网络(包括hopfield网络及细胞神经网络)的稳定性、极限环以及混沌进行了研究，主要工作概况如下：研究了细胞神经网络( cnn )的全局指数稳定性。