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RESEARCH PRODUCT

Integral Input-to-State Stability for Interconnected Discrete-Time Systems

Saeed AhmadizadehHamid Reza KarimiAlireza KhayatianNavid Noroozi

subject

Lyapunov functionsymbols.namesakeDiscrete time and continuous timeControl and Systems EngineeringControl theoryStructure (category theory)symbolsState (functional analysis)Stability (probability)Whole systemsMathematics

description

Abstract In this paper, we investigate integral input-to-state stability for interconnected discrete-time systems. The system under consideration contains two subsystems which are connected in a feedback structure. We construct a Lyapunov function for the whole system through the nonlinearly-weighted sum of Lyapunov functions of individual subsystems. We consider two cases in which we assume that one of subsystems is integral input-to-state stable and the other is either input-to-state stable or only integral input-to-state stable.

yearjournalcountryeditionlanguage
2014-01-01IFAC Proceedings Volumes
https://doi.org/10.3182/20140824-6-za-1003.00355