New Tests for the Stability of 2-D Roesser Models
Olivier Bachelier, Thomas Cluzeau, Driss Mehdi, Nima Yeganefar
Abstract
This article aims at broadening the panel of the existing conditions for structural stability of 2-D Roesser models. The models can be discrete, continuous, or mixed discrete/continuous. The conditions are necessary and sufficient. They are either expressed in terms of linear matrix inequalities or based on direct tests on eigenvalues of constant matrices. The effectiveness of these tests is highlighted.
Topics & Concepts
Eigenvalues and eigenvectorsStability (learning theory)MathematicsApplied mathematicsConstant (computer programming)Control theory (sociology)Matrix (chemical analysis)Computer scienceControl (management)Artificial intelligenceComposite materialProgramming languageMaterials sciencePhysicsMachine learningQuantum mechanicsMatrix Theory and AlgorithmsStability and Control of Uncertain SystemsStructural Health Monitoring Techniques