关于离散时间耗散端口-哈密顿(描述)系统

IF 1.8 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS Mathematics of Control Signals and Systems Pub Date : 2023-12-06 DOI:10.1007/s00498-023-00376-z

Karim Cherifi, Hannes Gernandt, Dorothea Hinsen, Volker Mehrmann

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引用次数: 1

摘要

对于线性连续时间动力系统，port - hamilton (pH)系统得到了广泛的研究。本文提出了基于系统系数的线性、完全因果、散射被动动力系统的离散时间pH描述符公式。研究了该公式与正有界实系统的关系以及卡尔曼-雅库博维奇-波波夫不等式的正半定解表征。

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On discrete-time dissipative port-Hamiltonian (descriptor) systems

Port-Hamiltonian (pH) systems have been studied extensively for linear continuous-time dynamical systems. This manuscript presents a discrete-time pH descriptor formulation for linear, completely causal, scattering passive dynamical systems based on the system coefficients. The relation of this formulation to positive and bounded real systems and the characterization via positive semidefinite solutions of Kalman–Yakubovich–Popov inequalities is also studied.

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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.