Stability Analysis of Linear Polytopic Descriptor Systems Using a Novel Copositive Matrix Approach

In this paper, we propose a copositive matrix approach to study stability of linear descriptor systems with polytopic uncertainty. First, by using copositive matrix analysis, new stability conditions are established in terms of linear matrix inequalities ensuring the regularity, impulse free, and ex...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2019-11, Vol.64 (11), p.4684-4690
Main Authors: Hai Yen, Le, Phat, Vu Ngoc
Format: Article
Language:English
Subjects:
Circuit stability
Copositivity
descriptor systems
Economic models
Linear matrix inequalities
linear matrix inequality (LMI)
Mathematical analysis
Matrix methods
Numerical stability
polytopic uncertainty
stability
Stability analysis
Stability criteria
Symmetric matrices
time delay
Uncertainty
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Summary:In this paper, we propose a copositive matrix approach to study stability of linear descriptor systems with polytopic uncertainty. First, by using copositive matrix analysis, new stability conditions are established in terms of linear matrix inequalities ensuring the regularity, impulse free, and exponential stability of such systems. Then, we use the obtained results to provide stability conditions for the system with delay. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2019.2902717