Linear Matrix Inequalities for Ultimate Boundedness of Dynamical Systems with Conic Uncertain/Nonlinear Terms
Behcet Acikmese
TL;DR
This paper presents a new LMI-based condition to verify the ultimate boundedness of certain continuous-time dynamical systems with conic nonlinearities or uncertainties, providing a practical tool for stability analysis.
Contribution
It introduces a novel LMI condition specifically designed for assessing the ultimate boundedness of systems with conic uncertain or nonlinear terms.
Findings
LMI condition effectively verifies boundedness.
Applicable to a class of systems with conic nonlinearities.
Simplifies stability analysis for complex systems.
Abstract
This note introduces a sufficient Linear Matrix Inequality (LMI) condition for the ultimate boundedness of a class of continuous-time dynamical systems with conic uncertain/nonlinear terms.
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Taxonomy
TopicsStability and Control of Uncertain Systems · Control Systems and Identification · Probabilistic and Robust Engineering Design