Work

A Note on Incremental Stability of Externally Positive Lurie Systems

Year: 2025

Type: article

Abstract: The Kalman conjecture is shown to be true for Lurie systems in which the linear part isexternally positiveand the nonlinear element satisfies a generalised incremental gain bound. It is shown further that the system satisfies a range of both traditional and incremental stability properties. Multivariable systems are treated in the same framework as single-input-single output systems, giving the results a wider scope than those normally covered by the Kalman conjecture. Some numerical examples illustrate the utility of the results.

Source: IEEE Transactions on Automatic Control

DOI: 10.1109/tac.2025.3615246

Authors: Ross Drummond, Chris Guiver, Matthew C. Turner

Institutions: University of Sheffield, Edinburgh Napier University, University of Southampton

Language: English

Topic: Control and Stability of Dynamical Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: Royal Society of Edinburgh

OpenAlex ID: W7083696236

FWCI:

Cites:

Cited by:

Related to: