complete stability meaning in English
完全稳定性
Examples
- There are diffirent methods to prove their complete stability of the cnn presented above
我们将利用不同的方法对以上两类cnn系统的稳定性进行证明。 - This paper gives some sufficient conditions for complete stability and global asymptotic stability of shunting inhibitory cellular neural networks , which improves previous results
摘要讨论了分流抑制细胞神经网络的完全稳定性与全局渐近稳定性，改进了已有的结论。 - It is well known that the absence of periodic or chaotic behavior , which guarantees complete stability , is a requirement for many applications . we call that a cnn is completely stable , if any initial condition ( except at most for a zero measure set ) bring the system to an equilibrium point
众所周知，在cnn的各种应用中，都要求系统不能存在周期轨道以及混沌吸引子，因此保证系统的稳定性则变得十分必要。所谓cnn的稳定性是指系统除了从一测度为零的集合为初始点出发的轨线外，其它的轨线最终都趋于某个稳定的平衡点。 - As the dynamic behavior has high sensitivity to modifications of the template parameters , a general study of cnn stability is extremely difficult . up till now , although the stability of 1 - d symmetric cnn ( a = ( , a , ) ) and antisymmetric cnn ( a = ( , a , - ) ) have approximately been resolved , only a few sufficient conditions ensuring complete stability of 1 - d cnn with nonsymmetric template ( a = ( , a , ) , | | | | ) were given
由于cnn系统对参数的变化较为敏感，这也给一般的稳定性研究带来了很大的困难。到现在为止，虽然一维对称cnn系统( a ( ， ， ) )和反对称cnn系统( a ( ， ， - ) )稳定性的存在条件已基本解决；但对于一维非对称cnn系统( a ( ， ， ) ， | | | | )的稳定性却只有很少的一些结果。 - As to the former , we mainly use the definition of stability to prove it directly , first , analysing the eigenvalues of coefficient matrix of the stationary solutions in each subregion , then , affirming the existence and stability of the equilibrium point . for the latter , the complete stability is guarantee
对于前者，主要是直接运用稳定性的定义，分析各子区域定态解系数矩阵的特征值，然后再确定平衡点的存在性及稳定性。对于后者，则通过构造lyapunov函数来得到系统的完全稳定性。