A new stability criterion and its application to robust stability analysis for linear systems with distributed delays

• Published in: Automatica (Oxford) Vol. 152; p. 110973
• Main Authors: Kudryakov, Dmitry A., Alexandrova, Irina V.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.06.2023
• Subjects: Linear systems; Lyapunov matrices; Lyapunov–Krasovskii functionals; Razumikhin condition; Robust stability; Stability; Time delay; Linear systems; Stability; Robust stability; Lyapunov matrices; Lyapunov–Krasovskii functionals; Time delay; Razumikhin condition

Recently, the possibility to verify positive definiteness of Lyapunov–Krasovskii functionals only on a specific Razumikhin-type set of functions to conclude on the stability of linear time delay systems was shown. In this paper, for a class of systems with multiple concentrated and distributed delay...