Optimal control for discrete and continuous stochastic descriptor systems with application to a factory management model

In this paper, optimal control models ruled by discrete and continuous stochastic descriptor systems are investigated in order. These descriptor systems are assumed to be regular and impulse-free. For settling discrete optimal control problems, a recurrence equation is proposed with the help of dyna...

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Vydáno v:International journal of control Ročník 96; číslo 5; s. 1227 - 1244
Hlavní autoři: Shu, Yadong, Li, Bo
Médium: Journal Article
Jazyk:angličtina
Vydáno: Abingdon Taylor & Francis 04.05.2023
Taylor & Francis Ltd
Témata:
Dynamic programming
dynamic programming method
equation of optimality
Mathematical models
Optimal control
Optimization
recurrence equation
stochastic descriptor systems
ISSN:0020-7179, 1366-5820
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Abstract In this paper, optimal control models ruled by discrete and continuous stochastic descriptor systems are investigated in order. These descriptor systems are assumed to be regular and impulse-free. For settling discrete optimal control problems, a recurrence equation is proposed with the help of dynamic programming method. Then, optimal control problems for two types of discrete stochastic descriptor systems are considered and optimal solutions are presented by analytical expressions. To simplify continuous optimal control problems, an equation of optimality is derived according to the principle of optimality, and it reveals the essential connection between optimal value and optimal control. Two numerical examples and a factory management model are provided to illustrate the validness of above results.
AbstractList In this paper, optimal control models ruled by discrete and continuous stochastic descriptor systems are investigated in order. These descriptor systems are assumed to be regular and impulse-free. For settling discrete optimal control problems, a recurrence equation is proposed with the help of dynamic programming method. Then, optimal control problems for two types of discrete stochastic descriptor systems are considered and optimal solutions are presented by analytical expressions. To simplify continuous optimal control problems, an equation of optimality is derived according to the principle of optimality, and it reveals the essential connection between optimal value and optimal control. Two numerical examples and a factory management model are provided to illustrate the validness of above results.
Author Li, Bo
Shu, Yadong
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  organization: Nanjing University of Finance and Economics
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SubjectTerms Dynamic programming
dynamic programming method
equation of optimality
Mathematical models
Optimal control
Optimization
recurrence equation
stochastic descriptor systems
Title Optimal control for discrete and continuous stochastic descriptor systems with application to a factory management model
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