The perpetual rotation of the ellipsoid body, its condition for existence and stability are also determined.
确定椭球体的永恒转动、它们的存在条件及稳定性。
Necessary and sufficient condition for existence of the controller is established, and complete parametric representations of the controller are presented.
建立了该控制方案存在的充要条件，并给出了该控制方案的完全参数表示。
The sufficient condition for the existence of stable sliding surface was derived in terms of LMIs.
给出了线性矩阵不等式形式的稳定滑动模面存在的充分条件。
So I endured this wretched existence, truly wretched for so susceptible a body, which can be thrown by a sudden change from the best condition to the worst.
因而，我忍受着这样悲惨的生活，对一个如此敏感的躯体来说，那是真正的悲惨。只需一个突然的变化就能将它从最好的状态抛到最糟的状态。
But for a multi time scale power system, existence and fundamental characteristics of fast manifolds must also be studied in order to obtain the model reduction condition of fixing slow dynamics.
但对于多时间尺度的电力系统模型降阶问题而言，还必须研究快流形的存在性及其基本特征，以给出固定系统慢动态的降阶条件。
Based on LMIs, a sufficient condition for the existence of reliable control with uncertainty of pole configuration is given.
利用LMI给出了带有不确定性扇形区域极点配置的可靠控制器存在的充分条件。
By the first integral method, the existence, uniqueness and nonexistence of solutions for some nonlinear ordinary differential equations with singular boundary condition are discussed.
用首次积分法，讨论了带奇异边界条件的非线性常微分方程解的存在性、不存在性和唯一性。
The sufficient condition for the existence of limit cycle is proved using the Pioncare-Bendixson theory.
运用庞卡莱—班狄克逊环域理论，得到了极限环存在的充分条件；
In this paper, we prove a sufficent and necessary condition of existence for the solution of a kind of sublinear singular bound ary value problem.
证明了一类含脉冲次线性奇异边值问题解存在的充要性条件，推广了以前的相应结果。
A necessary and sufficient condition is derived for the existence of monotone and convex interpolation by a cubic spline with an additional knot inserted between each pair of data points.
本文给出用三次样条在两两节点之间引进一个外加节点的条件下，存在凸而单调的插值的充分必要条件。
By discussing a class of the neutral difference equation with several delay arguments, the author deduces a necessary and sufficient condition for the existence of bounded positive solutions.
考虑一类含有多个滞量的中立型差分方程，获得了该方程存在有界正解的一个充分必要条件。
This paper studies problems of the existence and the stability of the equilibrium price for the general dynamical market pricing system, and obtains the condition of the equilibrium price stability.
研究了一般动态市场价格系统的均衡价格的存在性和稳定性问题，得到了均衡价格稳定的条件。
This paper deals with the existence of two positive solutions for critical elliptic equations with a changed sign perturbation and with an auxiliary condition.
讨论了带变号扰动并且具有一定附加条件的临界椭圆方程的两个正解存在性。
It is proved that the uniform density hypothesis is the sufficiency condition for the proportional expansion hypothesis under the existence of the breech boundary motion and the mass jet.
同时，证明了存在膛底边界运动和质量加入条件下的拉格朗日假设是比例膨胀假设的充分条件。
The necessary condition for the existence of double crank of five - bar linkage with two degree of freedoms is derived on the basis of assembling conditions.
根据装配条件推导了二自由度五杆机构的双曲柄存在的必要条件。
Under a suitable condition, this paper gives an existence theorem for harmonic maps from surfaces to certain Riemannian manifolds in a large scale.
在一定条件下，给出了一个从曲面出发的大范围调和映照的存在性定理。
The paper presents a sufficient condition for the existence of the optimal output feedback solution of the LQ problem.
文中给出了这种输出反馈解存在的充分性条件。
The following three species periodic predator-prey system is considered, the sufficient condition for the existence of a globally and asymptotically stable periodic solution of the system is obtained.
本文研究了一类三种群周期食饵系统，并给出了其存在平稳振荡的充分条件。
By comparison the theorem and the upper-lower solution method, the sufficient condition for the finite time bow-up and global existence of solution are established.
通过运用比较定理和构造上、下解方法，建立了该方程组解的整体存在和有限爆破的充分条件。
Using this extended quadratic optimization theorem, the necessary and sufficient condition for the existence of stable quadratic optimal closed-loop system is obtained.
利用这个推广的二次最优定理，得到了存在稳定的二次最优闭环系统的充要条件。
And, taking terms of an upper bounded approach, the existence condition for a normal flow regulation is obtained for the voided viscoplastic material.
采用上限方法，给出了多孔粘塑性材料正交流动法则存在的条件。
In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.
摘要通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。
A sufficient condition for the existence of decentralized stabilization control laws was derived.
在此基础上给出其存在分散鲁棒稳定化控制器的充分条件。
Secondly, a sufficient condition for the existence of such output feedback controller is derived by means of linear matrix inequality approach.
其次，这样的输出反馈控制器存在的充分条件推导出的线性矩阵不等式方法。
Secondly, a sufficient condition for the existence of such output feedback controller is derived by means of linear matrix inequality approach.
其次，这样的输出反馈控制器存在的充分条件推导出的线性矩阵不等式方法。
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