Premium
Parametric Absolute Stabilization for Interconnected L urie Time‐Delay Systems with Polytopic Uncertainty
Author(s) -
Chen Ning,
Liu Yutian,
Liu Bo,
Gui Weihua
Publication year - 2014
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 - 10.1002/asjc.661
Subject(s) - parametric statistics , control theory (sociology) , stability (learning theory) , mathematics , linear matrix inequality , computer science , mathematical optimization , control (management) , statistics , artificial intelligence , machine learning
The paper considers the parametric absolute stabilization for interconnected L urie time‐delay systems with polytopic uncertainty. The concept of parametric absolute stabilization characterizes both the existence and the stability of equilibrium in the case of uncertain parameters and reference input shift. First, the existing conditions of parametric stability and the stable region are studied by the change of the uncertain parameters and reference input based on decentralized state feedback. Then, a delay‐dependent absolute stability condition in parametric stabilization region for interconnected L urie time‐delay systems with polytopic uncertainties is obtained through a linear matrix inequality method. Finally, an example is given to illustrate the effectiveness of the proposed method.