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Triple integral approach to reachable set bounding for linear singular systems with time‐varying delay
Author(s) -
Kang Wei,
Zhong Shouming,
Shi Kaibo
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4212
Subject(s) - mathematics , bounding overwatch , bounded function , ellipsoid , intersection (aeronautics) , set (abstract data type) , linear system , regular polygon , multiple integral , matrix (chemical analysis) , weighting , mathematical analysis , computer science , geometry , materials science , astronomy , artificial intelligence , medicine , physics , engineering , composite material , radiology , programming language , aerospace engineering
This paper is concerned with the reachable set estimation problem of singular systems with time‐varying delay and bounded disturbance inputs. Based on a novel Lyapunov–Krasovskii functional that contains four triple integral terms, reciprocally convex approach and free‐weighting matrix method, two sufficient conditions are derived in terms of linear matrix inequalities to guarantee that the reachable set of singular systems with time‐varying delay is bounded by the intersection of ellipsoid. Finally, two numerical examples are given to demonstrate the effectiveness and superiority of the proposed method. Copyright © 2016 John Wiley & Sons, Ltd.