LOCAL AND GLOBAL STABILITY OF INFINITE-HORIZON VARIATIONAL PROBLEM

数学物理学报(英文版) ›› 1998, Vol. 18 ›› Issue (3): 278-284.

LOCAL AND GLOBAL STABILITY OF INFINITE-HORIZON VARIATIONAL PROBLEM

龚六堂, 费溥生

Department of mathematics, Wuhan University, Wuhan 450072, China

收稿日期:1996-12-19 出版日期:1998-09-25 发布日期:1998-09-25
基金资助:
Project Supported by National Natural Science Foundation of China

LOCAL AND GLOBAL STABILITY OF INFINITE-HORIZON VARIATIONAL PROBLEM

Gong Liutang, Fei Pusheng

Department of mathematics, Wuhan University, Wuhan 450072, China

Received:1996-12-19 Online:1998-09-25 Published:1998-09-25
Supported by:
Project Supported by National Natural Science Foundation of China

摘要/Abstract

摘要： This paper presents an existence theorem of the optimal solution for the infintehorizon variational problem with the inclusion constraints on the state variables and velocity variables, give the estimation of the optimal solution. Under some conditions, the authors obtain the local stability and global stability of the stationary solution.

关键词: Variational Problem, Existence, Stability, Liapunov function

Abstract: This paper presents an existence theorem of the optimal solution for the infintehorizon variational problem with the inclusion constraints on the state variables and velocity variables, give the estimation of the optimal solution. Under some conditions, the authors obtain the local stability and global stability of the stationary solution.

Key words: Variational Problem, Existence, Stability, Liapunov function

龚六堂, 费溥生. LOCAL AND GLOBAL STABILITY OF INFINITE-HORIZON VARIATIONAL PROBLEM[J]. 数学物理学报(英文版), 1998, 18(3): 278-284.

Gong Liutang, Fei Pusheng. LOCAL AND GLOBAL STABILITY OF INFINITE-HORIZON VARIATIONAL PROBLEM[J]. Acta mathematica scientia,Series B, 1998, 18(3): 278-284.

[1]	陈贵强, Matthew RIGBY. STABILITY OF STEADY MULTI-WAVE CONFIGURATIONS FOR THE FULL EULER EQUATIONS OF COMPRESSIBLE FLUID FLOW[J]. 数学物理学报(英文版), 2018, 38(5): 1485-1514.
[2]	王朋燕, 王永忠. POSITIVE SOLUTIONS FOR A WEIGHTED FRACTIONAL SYSTEM[J]. 数学物理学报(英文版), 2018, 38(3): 935-949.
[3]	孔德兴, 刘琦. GLOBAL EXISTENCE OF CLASSICAL SOLUTIONS TO THE HYPERBOLIC GEOMETRY FLOW WITH TIME-DEPENDENT DISSIPATION[J]. 数学物理学报(英文版), 2018, 38(3): 745-755.
[4]	周永辉, 杨赟瑞, 刘克盼. STABILITY OF TRAVELING WAVES IN A POPULATION DYNAMIC MODEL WITH DELAY AND QUIESCENT STAGE[J]. 数学物理学报(英文版), 2018, 38(3): 1001-1024.
[5]	唐少君, 张澜. NONLINEAR STABILITY OF VISCOUS SHOCK WAVES FOR ONE-DIMENSIONAL NONISENTROPIC COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH A CLASS OF LARGE INITIAL PERTURBATION[J]. 数学物理学报(英文版), 2018, 38(3): 973-1000.
[6]	Janusz BRZDȨK, Krzysztof CIEPLINSKI. ON A FIXED POINT THEOREM IN 2-BANACH SPACES AND SOME OF ITS APPLICATIONS[J]. 数学物理学报(英文版), 2018, 38(2): 377-390.
[7]	A. M. NAGY, N. H. SWEILAM. NUMERICAL SIMULATIONS FOR A VARIABLE ORDER FRACTIONAL CABLE EQUATION[J]. 数学物理学报(英文版), 2018, 38(2): 580-590.
[8]	P. BASKAR, S. PADMANABHAN, M. SYED ALI. FINITE-TIME H_∞ CONTROL FOR A CLASS OF MARKOVIAN JUMPING NEURAL NETWORKS WITH DISTRIBUTED TIME VARYING DELAYS-LMI APPROACH[J]. 数学物理学报(英文版), 2018, 38(2): 561-579.
[9]	张磊, 刘斌. THE GLOBAL ATTRACTOR FOR A VISCOUS WEAKLY DISSIPATIVE GENERALIZED TWO-COMPONENT μ-HUNTER-SAXTON SYSTEM[J]. 数学物理学报(英文版), 2018, 38(2): 651-672.
[10]	Rakesh KUMAR, Anuj Kumar SHARMA, Kulbhushan AGNIHOTRI. STABILITY AND BIFURCATION ANALYSIS OF A DELAYED INNOVATION DIFFUSION MODEL[J]. 数学物理学报(英文版), 2018, 38(2): 709-732.
[11]	张晶, 张永前. INITIAL-BOUNDARY PROBLEM FOR THE 1-D EULER-BOLTZMANN EQUATIONS IN RADIATION HYDRODYNAMICS[J]. 数学物理学报(英文版), 2018, 38(1): 34-56.
[12]	刘颖博, Ingo WITT. SMALL DATA SOLUTIONS OF 2-D QUASILINEAR WAVE EQUATIONS UNDER NULL CONDITIONS[J]. 数学物理学报(英文版), 2018, 38(1): 125-150.
[13]	杨兆星, 张国宝. GLOBAL STABILITY OF TRAVELING WAVEFRONTS FOR NONLOCAL REACTION-DIFFUSION EQUATIONS WITH TIME DELAY[J]. 数学物理学报(英文版), 2018, 38(1): 289-302.
[14]	尚随明, 田玉, 张雅静. FLIP AND N-S BIFURCATION BEHAVIOR OF A PREDATOR-PREY MODEL WITH PIECEWISE CONSTANT ARGUMENTS AND TIME DELAY[J]. 数学物理学报(英文版), 2017, 37(6): 1705-1726.
[15]	Iz-iddine EL-FASSI, Janusz BRZDȨK, Abdellatif CHAHBI, Samir KABBAJ. ON HYPERSTABILITY OF THE BIADDITIVE FUNCTIONAL EQUATION[J]. 数学物理学报(英文版), 2017, 37(6): 1727-1739.

LOCAL AND GLOBAL STABILITY OF INFINITE-HORIZON VARIATIONAL PROBLEM

LOCAL AND GLOBAL STABILITY OF INFINITE-HORIZON VARIATIONAL PROBLEM

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 10