Unified stability criteria for slowly time-varying and switched linear systems

• Autores: Xiaobin Gao-, Daniel Liberzon, Ji Liu, Tamer Başar
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Nº. 96, 2018, págs. 110-120
• Idioma: inglés
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• Resumen

  • This paper presents a unified approach to formulating stability conditions for slowly time-varying linear systems and switched linear systems. The concept of total variation is generalized to the case of matrix-valued functions. Using this generalized concept, a result extending existing stability conditions for slowly time-varying linear systems is derived. As special cases of this result, two sets of stability conditions are derived for switched linear systems, which match known results in the literature. A numerical example is included to further illustrate the application of the main result.