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NECESSARY AND SUFFICIENT CONDITIONS FOR DELAY‐DEPENDENT ASYMPTOTIC STABILITY OF LINEAR COTINUOUS LARGE SCALE TIME DELAY AUTONOMOUS SYSTEMS
Author(s) -
Stojanovic Sreten B.,
Debeljković Dragutin Lj.
Publication year - 2005
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1111/j.1934-6093.2005.tb00403.x
Subject(s) - control theory (sociology) , exponential stability , mathematics , nonlinear system , stability (learning theory) , scale (ratio) , linear system , matrix (chemical analysis) , mathematical analysis , computer science , control (management) , physics , materials science , quantum mechanics , artificial intelligence , machine learning , composite material
This paper offers new necessary and sufficient conditions for delay‐dependent asymptotic stability of the linear continuous large scale time delay systems. The obtained conditions of stability are expressed by nonlinear system of matrix equations and the Lyapunov matrix equation for an ordinary linear continuous system without delay.