带有禁止节点的线性结构广义系统的最小能控性问题

基于数据驱动的广义系统分析与预测控制及其在电力和水网络中的应用

Data-Driven Analysis and Predictive Control of Descriptor Systems with Application to Power and Water Networks

本文提出面向离散时间广义系统的数据驱动分析与控制框架，通过前向/后向数据矩阵和扩展Willems引理处理非因果性与不完全可控性，使DeePC在电力和水网络中实现输出跟踪与稳定控制。

Minimal controllability problems on linear structural descriptor systems

We consider minimal controllability problems (MCPs) on linear structural descriptor systems. We address two problems of determining the minimum number of input nodes such that a descriptor system is structurally controllable. We show that MCP0 for structural descriptor systems can be solved in polynomial time. This is the same as the existing results on typical structural linear time invariant (LTI) systems. However, the derivation of the result is considerably different because the derivation technique of the existing result cannot be used for descriptor systems. Instead, we use the Dulmage--…

Input Selection for Performance and Controllability of Structured Linear Descriptor Systems

A common approach to controlling complex networks is to directly control a subset of input nodes, which then controls the remaining nodes via network interactions. While techniques have been proposed for selecting input nodes based on either performance metrics or controllability, a unifying approach based on joint consideration of performance and controllability is an open problem. In this paper, we develop a submodular optimization framework for selecting input nodes based on joint performance and controllability in structured linear descriptor systems. We develop our framework for arbitrary…

Port-Hamiltonian descriptor systems are relative generically controllable and stabilizable

The present work is a successor of [Ilchmann, Kirchhoff 2022] on generic controllability and of [Ilchmann, Kirchhoff 2023] 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 new 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.

结构可控性的最小输入选择

Minimum Input Selection for Structural Controllability

本文研究了在给定线性系统和禁止状态变量的情况下，如何通过最小化输入变量集实现结构可控性，并提出确定性算法在O(n+m√n)时间内解决该问题。

Manifold turnpikes of nonlinear port-Hamiltonian descriptor systems under minimal energy supply

Turnpike phenomena of nonlinear port-Hamiltonian descriptor systems under minimal energy supply are studied. Under assumptions on the smoothness of the system nonlinearities, it is shown that the optimal control problem is dissipative with respect to a manifold. Then, under controllability assumptions, it is shown that the optimal control problem exhibits a manifold turnpike property.