Necessary Stability Conditions for Delay Systems With Multiple Pointwise and Distributed Delays

Necessary stability conditions for linear systems with multiple pointwise and distributed delays are presented. New properties that connect the Lyapunov delay matrix and the fundamental matrix of these systems are instrumental in proving that these conditions depend exclusively on the Lyapunov delay...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2016-07, Vol.61 (7), p.1987-1994
Main Authors: Cuvas, Carlos, Mondie, Sabine
Format: Article
Language:English
Subjects:
Automatic control
Delay
Delay systems
Delays
distributed delay system
Instruments
Linear systems
Lyapunov delay matrix
Stability
Stability criteria
Symmetric matrices
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Summary:Necessary stability conditions for linear systems with multiple pointwise and distributed delays are presented. New properties that connect the Lyapunov delay matrix and the fundamental matrix of these systems are instrumental in proving that these conditions depend exclusively on the Lyapunov delay matrix. The result is illustrated by some examples.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2015.2487478