Subsequently , the nonlinear model is locally linearized about equilibrium point , thus , the linear model is obtained . with this model , the performance of standard efci algorithm is evaluated and the conclusion is that oscillations are caused by the nonlinear component existed in efci algorithm 在标准的efci算法的稳定性分析中，发现了系统振荡的本质原因在于系统中存在非线性环节，进而提出了对efci算法的改进，有效克服了系统振荡。
The demands that transient energy function methods must meet for the non - autonomous motion system are also proposed , which include that the critical energy should be determined by the critical trajectory and the post - fault stable equilibrium point should be determined by the critical clearing time 提出了暂态能量函数法用于非自治系统所必须满足的条件，包括用临界轨迹确定临界能量，以及用临界轨迹得到的切除时间确定故障清除后的稳定平衡点等。
H robust controller is devised for the integrated mathematical models . computer simulations with matlab6 . 1 demonstrate that h2 / h output feedback controller of the active suspension system , based on nash equilibrium point , achieves a good balance between robust stability and suspension performance Matlab6 . 1进行仿真，仿真结果表明通过纳什均衡点设计出的h _ 2 h _输出反馈控制器能够使系统在保持鲁棒稳定性的前提下获得优化的动态性能指标。
At the same time , we especially study a class of abstract generalized vector equilibrium problem ( in short , agvep ) in g - convex space , using the generalized s - r - kkm type theorem , we establish some new existence theorems of equilibrium points for the agvep in noncompact g - convex spaces 同时，我们在g -凸空间内着重研究了一类抽象广义矢量平衡问题(简称agvep ) ，利用广义s - r - kkm型定理在非紧g -凸空间内建立了一些新的抽象广义矢量平衡问题平衡点的存在定理。
Chaos synchronization problem is particular with two points , that is , both the thickness of sliding mode field at equilibrium point and output of controller at equilibrium point should be zero . a scalar vss controller is designed , and simulation results show that the synchronization technique is effective 根据变结构控制原理和结合混沌同步问题的特殊性，即滑模区在平衡点处的厚度为零和控制器的输出为零的要求，设计了一种基于单变量的变结构混沌同步控制器。
Based on these definitions , all kinds of the equilibrium points are analyzed in control systems with single saturated input . by the above facts , it is necessary in analyzing globally asymptotical stability of the origin that the other asymptotical stability equilibrium points are false ones 在此基础上，论证了单饱和输入下，开环，闭环均稳定或其一稳定时的平衡点的分布规律及判别准则最后指出，当原点全局渐近稳定时，其余非零稳定平衡点均为伪平衡点的必要性。
Chapter 3 investigates the estimation of the domains of attraction of equilibrium points for hopfield neural networks with delays , where hopfield neural networks with discrete and distributed delays are considered . we derive a sufficient condition for an equilibrium point to be locally exponentially stable 分别针对带离散时间延迟和带分布式时间延迟的hopfield神经网络,得出了平衡点局部指数稳定的充分条件,同时提出了一种指数稳定平衡点的吸引域的估计方法。
