充分条件

Finally,for the n-unit ring network, by means of space decomposition,we establish sufficient conditions on the stability of the trivial solution and also consider the existence and stability of nontrivial equilibria.

最后，对n元环状神经网络系统，我们利用空间分解的方法讨论了平凡解稳定的充分条件以及该系统非零平衡解的存在性与稳定性。

At first, using fixed point theorem, we establish the sufficient conditions which guarantee the existence, uniqueness, uniform stability of periodic solutions for the equations.

首先，我们利用不动点定理，建立了保证该类方程周期解的存在性、唯一性及一致稳定性的充分条件。

In chapter 2. to two classes of specific systems in engineering, we make researches into stability with respect to their own invariant sets through the theoretic techniques of HDS. And then we bring forward sufficient conditions of uniform asymptotic stability and exponential stability with respect to their own invariant sets in the sense of Lyapunov.

第二章针对实际工程之中的两类具体系统用混合动态系统的理论方法对其关于不变集的稳定性进行了研究，提出了它们关于各自的不变集在Lyapunov意义下一致渐近稳定、指数稳定的充分条件。

A sufficient condition is derived to ensure that the switched nonlinear systems are uniformly bounded and uniformly ultimate bounded.

给出了无激励非线性切换系统一致有界和一致最终有界的充分条件。

By Lyapunove method, we obtain some sufficient conditions for solutions uniformlybounded and uniformly ultimate bounded.

然后，为了应用这些结果，利用Lyapunov泛函方法，获得了这些方程解的一致有界与一致最终有界的充分条件。

A nonlinear semi-discrete model of investment dynamic system is set,and the existence and unique of solution for semi-discrete system are discussed.

建立了投资动力系统的一个非线性半离散模型，并讨论了半离散系统解的存在唯一性，给出了线性半离散系统稳定的一些充分条件。

Li reduces the surface tension of aluminum luquid obviously, increases the ratio and rate of heterogeneous nucleation, which is the necessary condition of the formation of fine grains. However, a large amount of unmelted Al3Sc, Al3Zr TiAl3 particles dispersively distribute in the luquid metal along the edge of the molten pool, which is the sufficient condition of the formation of fine grains.

Li显著地降低了铝液表面张力，大大提高了异质形核率和形核速率，是细晶层产生的必要条件；而熔池边缘液态金属中弥散均匀分布大量未熔化的Al_3Sc、Al_3Zr和TiAl_3质点，则是细晶层产生的充分条件。

The switching law is assumed to be unobservable Markov process.

对于切换律是可观测的情形，利用线性矩阵不等式和共同2次Lyapunov函数的方法，给出具有参数不确定的切换系统2次镇定的充分条件。

A sufficient condition for the existence of unperturbed systems is given in terms of linear matrix inequalitis.

JP2对于标称系统以线性矩阵不等式形式给出一个反馈控制器存在的充分条件。

A sufficient condition is derived under which the unstable equilibrium point of the advertising strategy can be stabilized by advertising control at discrete moments, and a theorem on the stability of impulsive control system is derived.

在离散时刻引入广告控制，给出使得广告策略的不稳定平衡点达到稳定的充分条件，得到了脉冲控制系统稳定的一个定理。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。