Work

Eigenvalue-Based Algorithms for Testing Negative Imaginariness of Scalar Transfer Functions

Year: 2025

Type: article

Abstract: This paper proposes several algorithms based on eigenvalue computations for testing negative imaginariness of scalar transfer functions of single-input single-output time-invariant linear systems. The input of the proposed eigenvalue-based algorithms can be any state-space realization, not necessarily minimal. The algorithms can test negative imaginariness of descriptor systems whose transfer functions may be non-proper, and only involve eigenvalues computation of matrices or matrix pencils with fewer restrictions. Finally, illustrative examples are provided to show how the proposed eigenvalue-based algorithms are applied for negative imaginariness test.

Source: IEEE Transactions on Automatic Control

DOI: 10.1109/tac.2025.3578668

Authors: Mei Liu, Kai Feng, Alexander Lanzon

Institutions: Tianjin University, University of Manchester

Language: English

Topic: Advanced Control Systems Design

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: Royal Society, National Natural Science Foundation of China

Awards: G4739828342, G559179998, G8627757284