Stochastic Linear Quadratic Control Problem on Time Scales

Autor: Yingjun Zhu, Guangyan Jia
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Discrete Dynamics in Nature and Society, Vol 2021 (2021)
Druh dokumentu: article
ISSN: 1026-0226
1607-887X
DOI: 10.1155/2021/5743014
Popis: This paper addresses a version of the stochastic linear quadratic control problem on time scales SΔLQ, which includes the discrete time and continuous time as special cases. Riccati equations on time scales are given, and the optimal control can be expressed as a linear state feedback. Furthermore, we present the uniqueness and existence of the solution to the Riccati equation on time scales. Furthermore, we give an example to illustrate the theoretical results.
Databáze: Directory of Open Access Journals