有界闭集

It is shown that the closed-loop system is globally uniformly ultimately bounded with respect to a compact set around the origin. This set can be made arbitrarily small by increasing the gradient of the saturation function.

其结果表明，闭环系统关于原点的一个紧集是整体一致最终有界的，并且该紧集可以由增加饱和函数的斜率而做得任意小。

F where S is a bounded closed set and f is continuous over S.

f此处S为R〓中的一个有界的闭集，f为S上的连续函数。

The problem that under what conditions the - resolvent operator of a maximal TJ - monotone set-valued mapping is a Lipschitz continuous single-valued mapping on whole space, which also answers the open problem mentioned above, is studied on finite dimensional Euclidean spaces.

借助于图收敛理论证明了有限维欧氏空间中的两个极大单调集值映射的和映射在较弱条件下仍是极大单调集值映射，并在此基础上讨论了一般集值变分包含问题解集的凸性、闭性和有界性。

All signals of of the resulting closed-loop system are globally bounded, and the states of the resulting closed-loop system can converge to a residual set.

得到的闭环系统的所有信号是全局有界的，并且闭环系统的轨线收敛到状态空间的一个残集。

Moreover, all signals in the closed-loop system are guaranteed to be semi-globally uniformly ultimately bounded, and the tracking errors are proved to converge to a small residual set around the origin.

保证了闭环系统所有信号半全局一致最终有界，证明了跟踪误差收敛于一个包含原点的小残集。

In Chapter 2, we consider the error bound and the auxiliary problem algorithm for the generalized linear complementarity problem over a polyhedral cone: First, we give an absolute and a relative global error bound for GLCP and nondegenerate GLCP, respectively, and then we explore the properties of the solution set of the problem, based on which we establish another absolute and relative error bound for GLCP which is much exacter compared with the result above.

第二章主要研究了闭凸锥上广义线性互补问题的误差界及基于其上的一个求解GLCP的辅助问题算法：(1)给出了GLCP的全局绝对误差界和在有非退化解时的全局绝对误差界及其相对误差界；(2)对GLCP的解集结构进行了探讨，并利用得到的结果给出了GLCP的另一个全局绝对误差界和相对误差界估计；(3)我们提出了一个求解GLCP的辅助问题算法，并证明在适当条件下该算法具有全局收敛性。

Lithologies are mostly sand and carbonate rocks, caps are mud rock, shale and magmatite. Entrap types are anticline, fault block rebuilt by breaking and the screened entrap diapered rock mass. The composition is CO_2, N_2, CH_4, C_2H_6 and He etc. It is magma air source body and its geologic fashions are intrusion and buried volcanic conduit. The relations between gas reservoirs and gas source bodies have three types: magma intrusion-breaking-communicated gas reservoir, magma intrusion-contacted CO_2 reservoir and buried volcanic conduit-contacted gas reservoir. The CO_2 migration in magma intrusion is consisted of fusing and crystallizing phases;it in volcanic conduit is consisted of near-surface effusion and crystallizing phases.The buoyancy of CO_2 in water far more than migration resistance in breaking or chink, CO_2 is easy float upward, the floating can results in differentiation of different density gases and concentration of sealed gas. The gas in sand reservoir firstly migrate into the higher porosity and coefficient of permeability sand, and along with the pressure going up it migrate into the lower. In magma intrusion-breaking-reservoir migration, CO_2 firstly migrate into watered breaking, began gravity differentiation and concentrate, the gas pressure time and again go up, CO_2 migrate into reservoir and concentrate under expansibility as the pressure reach upward a given extend. The CO_2 in reservoir experience four breaking modes: chemistry deposition, dissolution, diffusion and mechanic breaking, the pressure balance can be broken by faulting and the CO_2 will further migrate and form new reservoir.

济阳坳陷已发现的八里泊、阳25、平方王、平南、高青、花17 CO_2气藏主要储集层位有奥陶系、中生界、沙四段、沙三段、沙一段、馆陶组和明化镇组，储集层岩性以砂岩和碳酸盐岩为主，盖层以泥质岩、页岩和岩浆岩为主。；圈闭类型主要为受断裂改造的背斜、断块及刺穿岩体遮挡圈闭。；气体成分主要有CO_2、N_2、CH_4、C_2H_6、He等。；主要气源体为岩浆气源体，气源体的主要地质形式为侵入体和埋藏的火山通道。；气藏和气源体的空间关系有岩浆侵入体一断裂一气藏沟通型、岩浆侵入体-CO_2气储集层接触型和埋藏火山通道-气储集层接触型三种类型。；岩浆侵入体CO_2气运移分为熔融运移阶段和结晶运移阶段，火山通道中CO_2气运移分成近地表喷发阶段和结晶运移阶段。；断裂中，CO_2在水中的浮力远大于运移阻力，CO_2气容易上浮，CO_2在断裂中的易浮性导致不同密度气体的分异和走向上封闭的断裂气体相对富集。；气体在砂岩储集层运移聚集具有选择性，会优先进入孔隙度和渗透率较高的砂岩，随着压力增加，才会进入孔隙度和渗透率较低的砂岩；在岩浆气源体-断裂-储集层空间输导格架下，CO_2气在膨胀力的驱动下，首先进入含水的断裂并重力分异而聚集，气体压力会不断增高，当压力增至一定程度，CO_2气会向高孔隙度、渗透率的储集层运移并聚集。；在岩浆气源体-储集层接触空间输导格架下，CO_2气受膨胀力的驱动直接向储集层运移并聚集。；成藏的CO_2气会经历化学沉淀、溶解、扩散和机械破坏四种破坏方式，会受断裂切割而打破压力平衡，沿断裂进一步运移和聚集成藏。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。