4 , the optimal guaranteed control problem for a class of linear tune - delay systems with convex polyhedron uncertain parameters is considered . a state feedback controller designing method is given in terms of linear matrix inequalities 4 、针对一类具有凸多面体形式的不确定参数模型的时滞系统，研究了其保成本控制问题并得到相应控制器设计方法。
Then , incremental algorithm for convex hull and gjk algorithm are employed to improve the spilt algorithm ' s performance . then , the thought of uniform - cost search is applied to improve the algorithm . the implement shows that the improved split algorithm is more quickly 并且，根据分裂算法的特点，综合使用求解nurbs曲面控制顶点的凸包围多面体的增量算法和求解凸多面体之间距离的gjk算法替代了包围盒( aabb )算法，对于分裂算法做了改进。
The paper also provides algorithmes about boolean intersection calculation of two protruding polyhedron and the computer programmes for the algorithm . the programmes are of general meanings . boundary conditions and diversified load conditions are dealt with by program 程序同时完成了两个凸多面体布尔求交的算法问题并用程序精确的将其实现，具有普遍的实际意义；程序处理了边界条件、载荷，成功地解决了三维连续体的弹性静力学分析问题的求解。
Concerning the time delay systems with norm - bounded uncertainties or convex polyhedron uncertainties , the problems of robust stability criteria , the design methods of robust stabilizing controller and the design of controller that guarantee certain robust performance by state feedback or output feedback are investigated . the results can be classified as delay - independent and delay - dependent 针对具有范数有界不确定参数或凸多面体不确定参数的不确定时滞系统，采用状态反馈控制器或者输出反馈控制器，研究其鲁棒稳定性分析、鲁棒镇定控制器设计以及具有鲁棒性能约束的控制器设计问题，得到相应时滞无关或者时滞依赖结果。
A robust feasible predictive control scheme is put forward vhich adopts nominal model and applies for constrained linear systems with polytopic uncertainty . set invariance is the theory which underlies this control profile . and the key point to this predictive control paradigm is to append robust feasible constraint in the online optimization problem 基于不变集理论，提出了一种采用标称模型的、适用于有约束凸多面体不确定线性系统的预测控制的设计框架，其关键在于在线优化问题附加适当的额外的鲁棒可行约束。
A good model of the full - grade aggregate concrete with high aggregate content is precondition to successfully execute concrete meso - mechanical simulation , so that the main work in the dissertation is focused on the following study concerning the random aggregate model of dam fully - graded concrete : ( 1 ) based on the topology of spherical aggregates , an algorithm of the random convex polyhedron aggregate model was presented considering the actual aggregate content , grading , and aggregate shape , and corresponding fortran program was developed to generate random convex polyhedron aggregate 针对全级配大坝混凝土的实际骨料含量和骨料形态,本文做了以下主要工作: ( 1 )在一种高效率生成的随机球骨料模型的基础上,形成随机凸多面体骨料模型,同时研究了细观单元属性判别方法,编制了对含有凸多面体骨料的细观区域进行结构性有限元网格剖分程序。本文给出的三维随机骨料模型算法不但考虑了混凝土的骨料的实际级配和含量,而且计及了骨料的实际形态。
" multi - step predictive sequence trajectory tree " , which respects the so - called " casual constraints " , is used to formulate the online optimization problem . and a framework is presented for a novel min - max robust model predictive control approach cf constrained linear time - varying systems with polytopic uncertainty 将“因果约束”引入凸多面体不确定线性系统，按照符合“因果约束”的“多步预测序列树”设计在线优化问题，得到一种新型的基于闭环优化的最小?最大鲁棒预测控制方法的框架。
