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《Acta Automatica Sinica》 1980-04
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BILINEAR OPTIMAL CONTROL WITH CONSTRAINTS IN POPULATION SYSTEMS

SONG JIAN  
The relationship between continuous and discrete models describing population evolution processes has been established.To accommodate the population policy being held in China we introduce a set of new definitions of quantities and functions and take the specific fertility rate to be the control parameter with psychological and stability constraints.An optimization problem to achieve desired population state is formulated,and a necessary condition for optimality has been proved by means of maximum principle,thus a computational method is provided for numerical study of planned population evolution processes that is needed in working out long term popula- tion policy.
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【References】
Chinese Journal Full-text Database 6 Hits
1 Liu QinyuDepartment of physical-Oceanography Shandong College of OceanologyChai Hongshan Boshan, Shan dong Machine Plant of Building Materials;THE STUDY OF CONTROLLABILITY OF POPULATION SYSTEMS[J];Control Theory & Applications;1985-02
2 Li Hanwei Wang Hong(Antai college of economics & management,Shanghai Jiao Tong University;School of Management,Shanghai University of Engineering Science);Dynamics Population Structural Adjustment,Pension Balance——Take Shanghai as Case Study[J];Shanghai Journal of Economics;2010-11
3 Lu Yuee;DISCUSSION ON THE DISCRETE MATHEMATICAL MODELS OF POPULATION EVOLUTION PROCESSES[J];Journal of Shandong University;1986-02
4 FENG DE-XING (Institute of Systems Science,Academia Sinica);A METHOD FOR OPTIMAL CONTROL OF POPULATION[J];;1987-02
5 Feng Dexing Zhu Guangtian;Critical Fertility Rate of Women in Population Problem[J];Journal of Mathematical Research and Exposition;1983-03
6 SHAO Jian(Dept. of Math., Zhejiang University, Hangzhou);A NOTE ON THE OPTIMAL CONTROL OF POPULATION[J];Information and Control;1992-01
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 Zhang Qi-Ren (Changsha Railway Institute)Zhang Zhong-Jun (Shanghai Jiao-Tong University);The State-Space Realization of Linear Econometric Systems[J];;1981-01
2 Chen Renzhao;ON THE NON-HOMOGEOUS BOUNDARY VALUE PROBLEMS FOR PARTIAL DIFFERENTIAL EQUATION OF POPULATION EVOLUTION PROCEESS[J];Journal of Northeast Normal University;1982-02
3 LI Jian quan 1,ZHANG Dan song 2,CHEN Ren zhao 1 (1 Department of Mathematics,Northeast Normal University,Changchun 130024, China; 2 Researoh Institute of Beijing Information and Control,Beijing 100037, China);Uniqueness of the solution for a class of semilinear time varying population systems with diffusion[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);1999-03
4 CAO Chun-ling; CHEN Ren-zhao(1. Department of Basis, Changchun Post and Telecommunication Institute, Changchun 130012, China;2. Department of Mathematics, Northeast Normal University, Changchun 130024, China);Optimal boundary control for time-varying population systems[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);1999-04
5 XU Wen bing, CHEN Ren zhao (Department of Mathematics, Northeast Normal University, Changchun 130024, China);Final state observation and boundary control for a time-varying population system[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);2000-01
6 CHEN Ren zhao 1, LI Jian quan 2, FU Jun 2 (1.Department of Mathematics, Northeast Normal University, Changchun 130024, China; 2.Beijing Institute of Information Processing and Control, Beijing 100037, China);Existence of the generalized solution for the nonlinear age-dependnet population diffusion equation[J];Journal of Northeast Normal University (Natural Science Edition);2001-03
7 Wang Dingjiang ( Dept.of Math.,Pingdingshan Teacher′s College,Henan 467000) );THE PROPERTY OF THE SOLUTION OF A NONLINEAR POPULATION EVOLUTION EQUATION[J];Applied Mathematics A Journal of Chinese Universities;1998-01
8 Zheng Wei & Sun Qixiang (School of Economics, Peking University);Economic Effects of the Institutional Change of China's Pension System[J];Economic Research Journal;2003-10
9 CHEN RENZHAO (Department of Mathematics, Northeast Normal University, Changchun);ON STABILITY OF NON-STATIONARY POPULATION CONTROL SYSTEMS AND CRITICAL FERTILITY RATE THEORY OF FEMALES[J];科学通报(英文版);1985-06
10 Zhang Aueming, Shao Jian ( Zhejiang University, Hangzhou );ON THE SUFFICIENT CONDITIONS OF OPTIMALITY FOR THE DIFFERENTIAL INCLUSIONS[J];Control Theory & Applications;1984-04
【Secondary References】
Chinese Journal Full-text Database 10 Hits
1 Zhang Zhongjun Zhang Qiren;Dynamic Input--output Models and Energy Forecasting[J];;1983-01
2 Liu Xifeng (Changsha Railway Inshtute);Information Structure in the Decentralised Control of Large-Scale Systems[J];;1989-02
3 YAO Lan~1,WANG Shu-ji~2(Callege of Sciences,Hebei University of Engineering,Hebei Handan 056038,China;2.College of Water Conservancy and Electric Power,Hebei University of Engineering,Hebei Handan 056038,China);Nonlinear Semi-discrete Model of Investment Dynamic System[J];;2006-05
4 Wang Hui Wang Zhonghua Harbin Normal University;THE MINIMUM NORM CONTROL PROBLEMS OF THE SEMI-DISCRETE POPULATION EVOLUTION SYSTEMS[J];Natural Science Journal of Harbin Normal University;1994-01
5 Han Guangwen;The Realization of Linear Stochastic Multivariable Differential Models[J];;1983-05
6 Han Guangwen;Realization of Finite Markov Parameters for Impulse Transfer Function Matrix[J];;1986-03
7 GUO BAOPING(Administrative Commission of Tianjin Economic and Technological Development Zone);OPTIMUM ADJUSTMENT AND CONTROL OF PRICE SYSTEM[J];Acta Automatica Sinica;1988-04
8 YAO Cui\|zhen,\ ZHANG Yu\|feng (Departmetn of Applied Mathematics, Beijing Institute of Technology,Beijing\ 100081) (Department of Mathematics, Yanbian University, Jilin, Yanbian\ 133002);Positive Matrix Approach to the Asymptotic Expansion and Controllability of a Discrete Population Dynamics[J];Mathematics In Practice and Theory;2000-04
9 FENG DE-XING (Institute of Systems Science,Academia Sinica);A METHOD FOR OPTIMAL CONTROL OF POPULATION[J];;1987-02
10 YU JING-YUAN GUO BAO-ZHU (Beijing Institute of Information and Control)ZHU GUANG-TIAN (Institute of Systems Science,Academia Sinica);THE CONTROL OF THE SEMI-DISCRETE POPULATION EVOLUTION SYSTEM[J];;1987-03
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