Turnpike in Nonlinear Optimal Control Problems With Indefinite Hamiltonian

被引：0

作者：

Lu, Yi ^{[1
]}

Guglielmi, Roberto ^{[2
]}

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, ON V8P 5E3, Canada

[2] Univ Waterloo, Dept Math, Waterloo, ON N2L 3G1, Canada

来源：

IEEE CONTROL SYSTEMS LETTERS | 2024年 / 8卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Optimal control; Sufficient conditions; Optimization; Steady-state; Dynamical systems; Symmetric matrices; Standards; Riccati equations; Nonlinear systems; Vectors; optimization; stability of nonlinear systems; STRICT DISSIPATIVITY; STEADY-STATE; TIME; PROPERTY; SYSTEMS;

D O I：

10.1109/LCSYS.2024.3509960

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We provide a sufficient condition to ensure turnpike for general nonlinear control systems. The main result of this letter exploits the connection between turnpike and the hyperbolicity of the corresponding optimality system and combines it with the theory of Algebraic Riccati Equations with indefinite source terms. We validate our sufficient condition with an example that does not satisfy previous sufficient conditions for turnpike.

引用

页码：2691 / 2696

页数：6

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