Port-Hamiltonian descriptor systems are relative generically controllable and stabilizable

IF 1.8 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Mathematics of Control Signals and Systems Pub Date : 2024-06-24 DOI:10.1007/s00498-024-00392-7

Achim Ilchmann, Jonas Kirchhoff, Manuel Schaller

引用次数: 0

Abstract

The present work is a successor of Ilchmann and Kirchhoff (Math Control Signals Syst 33:359–377, 2021) on generic controllability and of Ilchmann and Kirchhoff (Math Control Signals Syst 35:45–76, 2022) on relative generic controllability of linear differential-algebraic equations. We extend the result from general, unstructured differential-algebraic equations to differential-algebraic equations of port-Hamiltonian type. We derive results on relative genericity. These findings are the basis for characterizing relative generic controllability of port-Hamiltonian systems in terms of dimensions. A similar result is proved for relative generic stabilizability.

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端口-哈密顿描述子系统具有相对的通用可控性和稳定性

本研究继承了 Ilchmann 和 Kirchhoff (Math Control Signals Syst 33:359-377, 2021) 关于一般可控性的研究，以及 Ilchmann 和 Kirchhoff (Math Control Signals Syst 35:45-76, 2022) 关于线性微分代数方程相对一般可控性的研究。我们将这一结果从一般非结构微分代数方程扩展到端口-哈密尔顿类型的微分代数方程。我们得出了相对泛函的结果。这些发现是用维数表征端口-哈密尔顿系统相对泛函可控性的基础。我们还证明了相对泛函稳定度的类似结果。

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

Mathematics of Control Signals and Systems 工程技术-工程：电子与电气

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematics of Control, Signals, and Systems (MCSS) is an international journal devoted to mathematical control and system theory, including system theoretic aspects of signal processing. Its unique feature is its focus on mathematical system theory; it concentrates on the mathematical theory of systems with inputs and/or outputs and dynamics that are typically described by deterministic or stochastic ordinary or partial differential equations, differential algebraic equations or difference equations. Potential topics include, but are not limited to controllability, observability, and realization theory, stability theory of nonlinear systems, system identification, mathematical aspects of switched, hybrid, networked, and stochastic systems, and system theoretic aspects of optimal control and other controller design techniques. Application oriented papers are welcome if they contain a significant theoretical contribution.