A Semigroup Framework for Turnpike Property of Infinite-Dimensional Generalized Linear-Quadratic Problems

IF 2.3 4区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

IET Control Theory and Applications Pub Date : 2025-09-03 DOI:10.1049/cth2.70069

Zhuqing Li, Roberto Guglielmi

引用次数: 0

Abstract

We deduce a sufficient condition for the exponential (integral) turnpike property for infinite-dimensional generalized linear-quadratic optimal control problems in terms of structural properties of the control system, such as exponential stabilizability and detectability. The proof relies on the analysis of the exponential convergence of solutions to the differential Riccati equations to the algebraic counterpart, and on a necessary condition for exponential stabilizability in terms of a closed range test.

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无穷维广义线性二次问题收费公路性质的半群框架

从控制系统的指数稳定性和可检测性等结构性质出发，推导了无限维广义线性二次最优控制问题具有指数（积分）收费公路性质的充分条件。该证明依赖于分析微分Riccati方程解对其代数对应物的指数收敛性，并依赖于指数稳定性的封闭范围检验的必要条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

IET Control Theory and Applications 工程技术-工程：电子与电气

CiteScore

5.70

自引率

7.70%

发文量

167

审稿时长

5.1 months

期刊介绍： IET Control Theory & Applications is devoted to control systems in the broadest sense, covering new theoretical results and the applications of new and established control methods. Among the topics of interest are system modelling, identification and simulation, the analysis and design of control systems (including computer-aided design), and practical implementation. The scope encompasses technological, economic, physiological (biomedical) and other systems, including man-machine interfaces. Most of the papers published deal with original work from industrial and government laboratories and universities, but subject reviews and tutorial expositions of current methods are welcomed. Correspondence discussing published papers is also welcomed. Applications papers need not necessarily involve new theory. Papers which describe new realisations of established methods, or control techniques applied in a novel situation, or practical studies which compare various designs, would be of interest. Of particular value are theoretical papers which discuss the applicability of new work or applications which engender new theoretical applications.