Interconnections between µ-Value and D-Stable, D(a)-Stable Matrices from Economic Models
[EN] In this paper, we review a number of well established methods to study the interconnection between D-stability and µ-values. The D-stability in economic, and dynamic systems plays a crucial role for maintaining equilibrium under proportional changes in parameters, for instance, prices, producti...
| Autores: | , , , , , , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:dnet:riunet______::d96291a69c1c43d60e656615ef0afa91 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/233843 |
| Access Level: | acceso abierto |
| Palabra clave: | D(a)-stable matrices D-stable matrices Economic models 08.- Fomentar el crecimiento económico sostenido, inclusivo y sostenible, el empleo pleno y productivo, y el trabajo decente para todos 11.- Conseguir que las ciudades y los asentamientos humanos sean inclusivos, seguros, resilientes y sostenibles |
| Sumario: | [EN] In this paper, we review a number of well established methods to study the interconnection between D-stability and µ-values. The D-stability in economic, and dynamic systems plays a crucial role for maintaining equilibrium under proportional changes in parameters, for instance, prices, production levels, or financial flows. The computation of structured singular value a.k.a µ-value is a well-known mathematical tool for analysis of systems appearing in robust control. The µ-value provides the quantitative measure of linear systems stability subject to structured uncertainties. The approximation of an upper bounds of µ-value plays a critical role for ensuring robust stability and performance which guarantees in practical linear control systems. This article also presents the state-of-the-art mathematical methods for approximating upper bounds of µ-values. The µ-value is deeply interconnected with D-stability theory of economic models. The key methods includes the computation of upper bounds of µ-values for mixed real and complex uncertainties, optimization based methods, linear matrix inequalities (LMI)-based techniques. |
|---|