OPTIMAL CONTROL OF A CLASS OF INFINTIE DIMENSIONAL UNCERTAIN SYSTEMS

Acta mathematica scientia,Series B ›› 1994, Vol. 14 ›› Issue (S1): 78-87.

• Articles • Previous Articles Next Articles

OPTIMAL CONTROL OF A CLASS OF INFINTIE DIMENSIONAL UNCERTAIN SYSTEMS

Xiang Xiaoling

Department of Mathematics, Guizhou University, Guiyang 550025, China

Received:1992-07-28 Online:1994-12-31 Published:1994-12-31
Supported by:
This work was supported by the Science Commission of Guizhou Province,P.R.China.

Abstract

Abstract: In this paper, we use relaxation theory to study a class of relaxed infinite dimensional uncertain systems.We obtained the exisence and some important properties of solutions of relaxed systems first. Then the existence of optimal control of relaxed systems with a correspondingly relaxed cost functional was proved. Lastly, we showed that under some assumptions the set of original trajectories is dense in the set of relaxed trajectories and the relaxed control problem is equivalent to the original one.

Key words: Optimal control, Uncertain systems, Relaxation

Xiang Xiaoling. OPTIMAL CONTROL OF A CLASS OF INFINTIE DIMENSIONAL UNCERTAIN SYSTEMS[J].Acta mathematica scientia,Series B, 1994, 14(S1): 78-87.

Trendmd

[1]	Fangfang DU, Tongjun SUN. A BICUBIC B-SPLINE FINITE ELEMENT METHOD FOR FOURTH-ORDER SEMILINEAR PARABOLIC OPTIMAL CONTROL PROBLEMS [J]. Acta mathematica scientia,Series B, 2024, 44(6): 2411-2421.
[2]	Zhenhai Liu, Nikolaos S. Papageorgiou. PERIODIC SYSTEMS WITH TIME DEPENDENT MAXIMAL MONOTONE OPERATORS [J]. Acta mathematica scientia,Series B, 2024, 44(4): 1280-1300.
[3]	Diana I. HERNÁNDEZ, Diego A. RUEDA-GÓMEZ, Élder J. VILLAMIZAR-ROA. AN OPTIMAL CONTROL PROBLEM FOR A LOTKA-VOLTERRA COMPETITION MODEL WITH CHEMO-REPULSION [J]. Acta mathematica scientia,Series B, 2024, 44(2): 721-751.
[4]	Lingling Jian. THE OPTIMAL DEDUCTIBLE AND COVERAGE IN INSURANCE CONTRACTS AND EQUILIBRIUM RISK SHARING POLICIES^* [J]. Acta mathematica scientia,Series B, 2023, 43(3): 1347-1364.
[5]	Zhaojie Zhou, Fangyuan Wang, Xiangcheng Zheng. ANALYSIS AND DISCRETIZATION FOR AN OPTIMAL CONTROL PROBLEM OF A VARIABLE-COEFFICIENT RIESZ-FRACTIONAL DIFFUSION EQUATION WITH POINTWISE CONTROL CONSTRAINTS^* [J]. Acta mathematica scientia,Series B, 2023, 43(2): 640-654.
[6]	Xianting Wang, Yun-guang Lu, Richard De la cruz, Guoqiao You. GLOBAL SOLUTIONS TO A HYDRODYNAMIC MODEL FOR SEMICONDUCTORS WITH VELOCITY RELAXATION^* [J]. Acta mathematica scientia,Series B, 2023, 43(2): 975-980.
[7]	Grace Nnennaya OGWO, Chinedu IZUCHUKWU, Oluwatosin Temitope MEWOMO. RELAXED INERTIAL METHODS FOR SOLVING SPLIT VARIATIONAL INEQUALITY PROBLEMS WITHOUT PRODUCT SPACE FORMULATION [J]. Acta mathematica scientia,Series B, 2022, 42(5): 1701-1733.
[8]	Minh-Phuong TRAN, Thanh-Nhan NGUYEN, Phuoc-Toan HUYNH, Nhu-Binh LY, Minh-Dang NGUYEN, Quoc-Anh HO. CONVERGENCE RESULTS FOR NON-OVERLAP SCHWARZ WAVEFORM RELAXATION ALGORITHM WITH CHANGING TRANSMISSION CONDITIONS [J]. Acta mathematica scientia,Series B, 2022, 42(1): 105-126.
[9]	Bin CHEN, Sergey A. TIMOSHIN. OPTIMAL CONTROL OF A POPULATION DYNAMICS MODEL WITH HYSTERESIS [J]. Acta mathematica scientia,Series B, 2022, 42(1): 283-298.
[10]	Qixia ZHANG. MAXIMUM PRINCIPLE FOR STOCHASTIC OPTIMAL CONTROL PROBLEM WITH DISTRIBUTED DELAYS [J]. Acta mathematica scientia,Series B, 2021, 41(2): 437-449.
[11]	Linjie MA, Bin LIU. DYNAMIC ANALYSIS AND OPTIMAL CONTROL OF A FRACTIONAL ORDER SINGULAR LESLIE-GOWER PREY-PREDATOR MODEL [J]. Acta mathematica scientia,Series B, 2020, 40(5): 1525-1552.
[12]	Xiaoli DING, Yaolin JIANG. NONNEGATIVITY OF SOLUTIONS OF NONLINEAR FRACTIONAL DIFFERENTIAL-ALGEBRAIC EQUATIONS [J]. Acta mathematica scientia,Series B, 2018, 38(3): 756-768.
[13]	Xian-jia WANG, Rui DONG, Lin CHEN. THE OPTIMAL CONTROL FOR PROMOTING THE COOPERATION IN EVOLUTION GAME GENERATED BY PRISONER'S DILEMMA [J]. Acta mathematica scientia,Series B, 2018, 38(1): 73-92.
[14]	A. JAJARMI, M. HAJIPOUR. AN EFFICIENT PARALLEL PROCESSING OPTIMAL CONTROL SCHEME FOR A CLASS OF NONLINEAR COMPOSITE SYSTEMS [J]. Acta mathematica scientia,Series B, 2017, 37(3): 703-721.
[15]	Limeng WU, Juan ZHANG, Mingkang NI, Haibo LU. ASYMPTOTIC SOLUTION OF SINGULARLY PERTURBED HYBRID DYNAMICAL SYSTEMS [J]. Acta mathematica scientia,Series B, 2016, 36(5): 1457-1466.

OPTIMAL CONTROL OF A CLASS OF INFINTIE DIMENSIONAL UNCERTAIN SYSTEMS

PDF (PC)

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 10