Stability of abstract linear switched impulsive differential equations

• Autores: Vitalii Slyn’ko, Cemil Tunç
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Nº. 107, 2019, págs. 433-441
• Idioma: inglés
• DOI: https://doi.org/10.1016/j.automatica.2019.06.001
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• Resumen

  • Linear impulsive switched differential equations in Hilbert space are studied. We propose a new method of stability investigation, which is based in constructing an equivalent impulsive system without switching. Using operator-valued and scalar Lyapunov functions, sufficient conditions for Lyapunov stability of linear switched impulsive equations in a Banach space are established. The examples of studies of this class of equations with periodic switching are given.