When does stabilizability imply the existence of infinite horizon optimal control in nonlinear systems?

被引：1
|
作者：
Sakamoto, Noboru [1 ]
机构：
[1] Nanzan Univ, Fac Sci & Technol, Dept Mech Engn & Syst Control, Yamazato Cho 18,Showa Ku, Nagoya 4648673, Japan
来源：
AUTOMATICA | 2023年 / 147卷
基金：
欧洲研究理事会;
关键词：
Optimal control; Stability; Stabilizability; Detectability; Stable manifold; Turnpike; STABLE MANIFOLD APPROACH; TURNPIKE PROPERTIES; STRICT DISSIPATIVITY; STEADY-STATE; LONG-TIME; STABILIZATION; EQUATION; PROPERTY; THEOREMS;
D O I：
10.1016/j.automatica.2022.110706
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The paper addresses an existence problem for infinite horizon optimal control when the system under control is exponentially stabilizable or stable. Classes of nonlinear control systems for which infinite horizon optimal controls exist are identified in terms of stability, stabilizability, detectability and growth conditions. The result then applies to estimate the existence region of stable manifolds in the associated Hamiltonian systems. Applications of the results also include the analysis for turnpike property in nonlinear finite horizon optimal control problems by a geometric approach.(c) 2022 Elsevier Ltd. All rights reserved.
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页数：13
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