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Finite‐time stability of a class of oscillating systems with two delays
Author(s) -
Cao Xiaokai,
Wang JinRong
Publication year - 2018
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.4943
Subject(s) - mathematics , bounded function , polynomial , stability (learning theory) , class (philosophy) , representation (politics) , matrix polynomial , matrix (chemical analysis) , state (computer science) , control theory (sociology) , mathematical analysis , algorithm , control (management) , artificial intelligence , machine learning , computer science , materials science , management , politics , political science , law , economics , composite material
In this paper, we study finite‐time stability of an oscillating system with 2 delays. To derive a bounded of state vector, we use a representation of explicit solution involving 2‐delayed matrix polynomial of 2 indices after deriving some fundamental estimates for such delayed matrix polynomial of 2 indices. A sufficient condition is given. Finally, an example is given to demonstrate the application of the main result.