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991.
We consider time discrete systems which are described by a system of difference equations. The related discrete optimal control problems are introduced. Additionally, a gametheoretic extension is derived, which leads to general multicriteria decision problems. The characterization of their optimal behavior is studied. Given starting and final states define the decision process; applying dynamic programming techniques suitable optimal solutions can be gained. We generalize that approach to a special gametheoretic decision procedure on networks. We characterize Nash equilibria and present sufficient conditions for their existence. A constructive algorithm is derived. The sufficient conditions are exploited to get the algorithmic solution. Its complexity analysis is presented and at the end we conclude with an extension to the complementary case of Pareto optima.Dmitrii Lozovanu was Supported by BGP CRDF-MRDA MOM2-3049-CS-03. 相似文献
992.
M. Majewski 《Journal of Optimization Theory and Applications》2006,128(3):635-651
In this paper, some results concerning the existence of optimal solutions to an optimal control problem are derived. The problem involves a quasilinear hyperbolic differential equation with boundary condition and a nonlinear integral functional of action. The assumption of convexity, under which the main theorem is proved, is not connected directly with the convexity of the functional of action. In the proof, the implicit function theorem for multimappings is used.Communicated by L. D. Berkovitz 相似文献
993.
We study a zero-sum differential game with hybrid controls in which both players are allowed to use continuous as well as
discrete controls. Discrete controls act on the system at a given set interface. The state of the system is changed discontinuously
when the trajectory hits predefined sets, an autonomous jump set A or a controlled jump set C, where one controller can choose to jump or not. At each jump, the trajectory can move to a different Euclidean space. One
player uses all the three types of controls, namely, continuous controls, autonomous jumps, and controlled jumps; the other
player uses continuous controls and autonomous jumps. We prove the continuity of the associated lower and upper value functions
V− and V+. Using the dynamic programming principle satisfied by V− and V+, we derive lower and upper quasivariational inequalities satisfied in the viscosity sense. We characterize the lower and
upper value functions as the unique viscosity solutions of the corresponding quasivariational inequalities. Lastly, we state
an Isaacs like condition for the game to have a value
This work was partially supported by Grants DRDO 508 and ISRO 050 to the Non-linear Studies Group, Indian Institute of Science.
The first author is a University Grant Commission Research Fellow and the financial support is gratefully acknowledged.
The authors thank Prof. M.K. Ghosh, Department of Mathematics, Indian Institute of Science, for introducing the problem and
thank the referee for useful suggestions. 相似文献
994.
采用分子动力学方法对液态金属Ga的快速凝固过程进行计算机模拟跟踪研究,运用HA键型指数法和原子团类型指数法分析了金属原子Ga的成键类型和形成的基本原子团结构.发现:与通常的液态金属(如Al)相反,随着温度的降低,二十面体及与二十面体相关的1551, 1541键型数目明显下降;与立方体(fcc,bcc),六角密集结构相关的1421,1422键型数目明显增加;而与菱面体相关的1321,1311键型的数目却显著增加,逐渐占据优势.最后形成一种新型的以菱面体结构为主、夹杂着立方体(fcc,bcc)、六角密集(hcp)等团簇结构所组成的非晶态结构.这正是非晶态金属Ga的g(r)曲线分裂的第二峰的顺序为前低后高,而与非晶态金属Al的g(r)曲线(其分裂的第二峰的顺序为前高后低)明显不同的微观结构上的物理根源. 相似文献
995.
Successive approximation procedure for steady-state optimal control of bilinear systems 总被引:1,自引:0,他引:1
The optimum regulation problem of a bilinear system with a quadratic performance criterion is obtained in terms of a sequence of algebraic Lyapunov equations. The results are based on the method of successive approximations. The proof of convergence of the proposed scheme is given and the design procedure is illustrated by two examples. 相似文献
996.
稀土对小麦(Triticum aestivum)体内光合和呼吸速率及磷酸化功能的影响 总被引:1,自引:0,他引:1
沈博礼 《新疆大学学报(理工版)》1995,12(2):92-95
以适当浓度稀土溶液处理小麦后,其光合和氧化磷酸化的磷氧比(P/O)、光合控制(Pc)、呼吸控制(RC)、状态3.4光合和呼吸速率(S3.S4)与对照样比均无显著性差异。状态2(S2)光合和呼吸速率提高,差异极显著。说明小麦用最适浓度稀土处理后,对其光合和呼吸的磷酸化机构和功能膜影响不大,但显著促进了光合和呼吸速率(S2),从而促进了电子传递链的活性,使ATP形成量增加。 相似文献
997.
In this paper, we consider a minimax problem of optimal control for a class of strongly nonlinear uncertain evolution equations on a Banach space. We prove the existence of optimal controls. A nontrivial example of a class of systems governed by a nonlinear partial differential equation with uncertain spatial parameters is presented for illustration.This work was supported in part by the National Science and Engineering Research Council of Canada under Grant No. A7109 and The Engineering Faculty Development Fund, University of Ottawa.The authors would like to thank the anonymous reviewers for their valuable comments and suggestions. 相似文献
998.
Jean-Pierre Aubin Georges Haddad 《Journal of Mathematical Analysis and Applications》2002,275(2):676-692
Given a target contained in a constrained set and an impulse control system governing the evolutions of runs or executions, that are hybrids of continuous and discrete evolutions, this paper studies and provides several characterizations of the capture basin of the target viable in the constrained set. It is the subset of initial runs from which start at least one run viable in the constrained set until it reaches the target in finite time. It also provides algorithms and regulation rules governing the runs that reach the targets while obeying state constraints. 相似文献
999.
An automatic aberration correction method has been implemented in scanning electron microscopes (SEM). Necessity of the automatic aberration correction is discussed. The procedure of the automatic aberration correction is explained in detail, where deconvolution techniques are used in order to extract probe information from SEM images. Due to the precise digitization and the usage of proper combinations of correction fields, linearity has been found between the amplitude of each aberration and the corresponding field strength. Experimental results are shown which demonstrate that the aberrations are corrected automatically by a linear feedback control method. After the automatic aberration correction, the image quality has been improved drastically. 相似文献
1000.
多环架光电稳定系统及分析 总被引:5,自引:0,他引:5
提出一种多环架高精度光电稳定系统方案。通过对其进行运动学分析,并结合伺服控制原理,证明该方案优于常规的二环架光电稳定系统。 相似文献