Brief paper: Lyapunov criteria for stability in Lp norm of special neutral systems

Authors:
P. Pepe;E. I. Verriest
Affiliations:
Dipartimento di Ingegneria Elettrica e dell'Informazione, University of L'Aquila, L'Aquila, Italy;Department of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, USA
Venue:
Automatica (Journal of IFAC)
Year:
2012

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Abstract

In this paper, we present a Lyapunov-Krasovskii methodology for checking the global asymptotic stability and the input-to-state stability of systems described by retarded functional differential equations coupled with continuous time difference equations, often referred to as special neutral systems, with un-matched and piece-wise continuous initial conditions. The methodology provides results in terms of the L"p norm for the non differentiated variable and does not require the preliminary check of input-to-state stability for the difference part of the system. The Lyapunov conditions are given without involving, not even formally, the solution.