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An extended looped‐functional for stability analysis of sampled‐data systems
Author(s) -
Park JunMin,
Park PooGyeon
Publication year - 2020
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.5221
Subject(s) - stability (learning theory) , sampling (signal processing) , differentiable function , instant , mathematics , functional approach , property (philosophy) , matrix (chemical analysis) , interval (graph theory) , computer science , control theory (sociology) , control (management) , mathematical analysis , artificial intelligence , machine learning , philosophy , physics , materials science , filter (signal processing) , epistemology , quantum mechanics , human–computer interaction , combinatorics , composite material , computer vision
Summary This article introduces an extended looped‐functional for stability analysis of sampled‐data systems. It is defined as a differentiable functional over an interval between two consecutive sampling instants which has a property that the difference between its values at the latter sampling instant and at the former sampling instant is nonnegative. The proposed looped‐functional includes the existing discontinuous Lyapunov functional and looped‐functional as special cases. Based on the proposed looped‐functional, improved stability criteria are derived in terms of linear matrix inequalities. Three examples show the effectiveness of the proposed criteria in the view of maximum allowable sampling intervals.