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Improved results on stability analysis of sampled‐data systems
Author(s) -
Wang Xin,
Sun Jian,
Dou Lihua
Publication year - 2021
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.5633
Subject(s) - stability (learning theory) , computer science , sampling (signal processing) , control theory (sociology) , derivative (finance) , mathematics , mathematical optimization , control (management) , artificial intelligence , machine learning , filter (signal processing) , financial economics , economics , computer vision
This article is concerned with the stability analysis of sampled‐data systems. Two new functionals are introduced to reduce the conservatism of stability conditions based on the looped‐functional approach. The first one is called a zero integral functional (ZIF) that is added to the derivative of a common Lyapunov functional. The second is a general looped‐functional (GLF), which is traditionally not well defined at sampling instants but redefined as its limits. Single‐ and double‐integral‐based ZIFs and GLFs are tailored for stability analysis. By virtue of the ZIFs and GLFs, less conservative stability criteria are derived and presented in terms of linear matrix inequalities. Finally, several numerical examples are given to demonstrate the effectiveness of proposed method.