OPTIMAL_CONTROL

作品数:613被引量:1054H指数:13
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AN OPTIMAL CONTROL PROBLEM FOR A LOTKA-VOLTERRA COMPETITION MODEL WITH CHEMO-REPULSION被引量:1
《Acta Mathematica Scientia》2024年第2期721-751,共31页Diana I.HERNÁNDEZ Diego A.RUEDA-GOMEZ Élder J.VILLAMIZAR-ROA 
supported by Vicerrectoría de Investigación y Extensión of Universidad Industrial de Santander,Colombia,project 3704.
In this paper we study a bilinear optimal control problem for a diffusive Lotka-Volterra competition model with chemo-repulsion in a bounded domain of ℝ^(ℕ),N=2,3.This model describes the competition of two species in...
关键词:LOTKA-VOLTERRA chemo-repulsion optimal control optimality conditions 
OPTIMAL CONTROL OF A POPULATION DYNAMICS MODEL WITH HYSTERESIS被引量:2
《Acta Mathematica Scientia》2022年第1期283-298,共16页Bin CHEN Sergey A.TIMOSHIN 
supported by National Natural Science Foundation of China(12071165 and 62076104);Natural Science Foundation of Fujian Province(2020J01072);Program for Innovative Research Team in Science and Technology in Fujian Province University,Quanzhou High-Level Talents Support Plan(2017ZT012);Scientific Research Funds of Huaqiao University(605-50Y 19017,605-50Y14040);supported by Ministry of Science and Higher Education of Russian Federation(075-15-2020-787,large scientific project"Fundamentals,methods and technologies for digital monitoring and forecasting of the environmental situation on the Baikal natural territory")。
This paper addresses a nonlinear partial differential control system arising in population dynamics.The system consist of three diffusion equations describing the evolutions of three biological species:prey,predator,a...
关键词:optimal control problem HYSTERESIS biological diffusion models nonconvex integrands nonconvex control constraints 
MAXIMUM PRINCIPLE FOR STOCHASTIC OPTIMAL CONTROL PROBLEM WITH DISTRIBUTED DELAYS被引量:1
《Acta Mathematica Scientia》2021年第2期437-449,共13页Qixia ZHANG 
supported by the National Natural Science Foundation of China(11701214);Shandong Provincial Natural Science Foundation,China(ZR2019MA045).
This paper is concerned with a Pontryagin's maximum principle for the stochastic optimal control problem with distributed delays given by integrals of not necessarily linear functions of state or control variables.By ...
关键词:Distributed delay generalized anticipated backward stochastic differential equations optimal control maximum principle 
DYNAMIC ANALYSIS AND OPTIMAL CONTROL OF A FRACTIONAL ORDER SINGULAR LESLIE-GOWER PREY-PREDATOR MODEL被引量:4
《Acta Mathematica Scientia》2020年第5期1525-1552,共28页Linjie MA Bin LIU 
partially supported by NNSFC(11971185).
In this article,we investigate a fractional-order singular Leslie-Gower prey-predator bioeconomic model,which describes the interaction bet ween populations of prey and predator,and takes into account the economic int...
关键词:fractional order system differential-algebraic system prey-predator bioeconomic model singularity induced bifurcation optimal control 
THE OPTIMAL CONTROL FOR PROMOTING THE COOPERATION IN EVOLUTION GAME GENERATED BY PRISONER'S DILEMMA被引量:2
《Acta Mathematica Scientia》2018年第1期73-92,共20页王先甲 董瑞 陈琳 
supported by NSFC(71231007,71501149)
Natural selection opposes the evolution of cooperation unless specific mechanisms are at work in Prisoner's Dilemma. By taking advantage of the modern control theory, the controller design is discussed and the optima...
关键词:evolutionary games Prisoner's Dilemma evolution of cooperation promoting cooperation control optimal control 
AN EFFICIENT PARALLEL PROCESSING OPTIMAL CONTROL SCHEME FOR A CLASS OF NONLINEAR COMPOSITE SYSTEMS
《Acta Mathematica Scientia》2017年第3期703-721,共19页A. JAJARMT M. HAJIPOUR 
This article presents an efficient parallel processing approach for solving the opti- mal control problem of nonlinear composite systems. In this approach, the original high-order coupled nonlinear two-point boundary ...
关键词:Modal series method nonlinear composite system optimal control PARALLELPROCESSING 
ASYMPTOTIC SOLUTION OF SINGULARLY PERTURBED HYBRID DYNAMICAL SYSTEMS被引量:2
《Acta Mathematica Scientia》2016年第5期1457-1466,共10页武利猛 张娟 倪明康 陆海波 
supported by the National Natural Science Foundation of China(11471118,11401385 and 11371140);Natural Science Foundation of Hebei Province(A2015407063);Doctoral Foundation of Hebei Normal University of Science and Technology(2013YB008)
In this paper, we consider a class of optimal control problem for the singularly perturbed hybrid dynamical systems. By means of variational method, we obtain the necessary conditions of the hybrid dynamical systems. ...
关键词:optimal control hybrid dynamical system singular perturbation 
OPTIMAL CONTROL OF MARKOVIAN SWITCHING SYSTEMS WITH APPLICATIONS TO PORTFOLIO DECISIONS UNDER INFLATION被引量:9
《Acta Mathematica Scientia》2015年第2期439-458,共20页费晨 费为银 
supported by National Natural Science Foundation of China(71171003);Anhui Natural Science Foundation(10040606003);Anhui Natural Science Foundation of Universities(KJ2012B019,KJ2013B023)
This article is concerned with a class of control systems with Markovian switching, in which an It5 formula for Markov-modulated processes is derived. Moreover, an optimal control law satisfying the generalized Hamilt...
关键词:Markov optimal control generalized It6 formula HJB equations optimal portfolio three fund theorem INFLATION 
TIME AND NORM OPTIMAL CONTROLS:A SURVEY OF RECENT RESULTS AND OPEN PROBLEMS
《Acta Mathematica Scientia》2011年第6期2203-2218,共16页H. O. Fattorini 
We present in this paper a survey of recent results on the relation between time and norm optimality for linear systems and the infinite dimensional version of Pontryagin's maximum principle. In particular, we discus...
关键词:linear control systems in Banach spaces time optimal problem norm optimal problem 
A RISK-SENSITIVE STOCHASTIC MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL OF JUMP DIFFUSIONS AND ITS APPLICATIONS被引量:1
《Acta Mathematica Scientia》2011年第2期419-433,共15页史敬涛 吴臻 
supported by the National Basic Research Program of China (973 Program, 2007CB814904);the National Natural Science Foundations of China (10921101);Shandong Province (2008BS01024, ZR2010AQ004);the Science Funds for Distinguished Young Scholars of Shandong Province (JQ200801);Shandong University (2009JQ004),the Independent Innovation Foundations of Shandong University (IIFSDU,2009TS036, 2010TS060)
A stochastic maximum principle for the risk-sensitive optimal control prob- lem of jump diffusion processes with an exponential-of-integral cost functional is derived assuming that the value function is smooth, where ...
关键词:Risk-sensitive control jump diffusions maximum principle adioint equation 
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