Delay independent stability of linear switching systems with time delay

By Sehjeong Kim, Sue Ann Campbell, Xinzhi Liu. 2008

50 citations recorded by the source corpus.

We consider a switching system with time delay composed of a finite number of linear delay differential equations (DDEs). Each DDE consists of a sum of a linear ODE part and a linear DDE part. We study two particular cases: (a) all the ODE parts are stable and (b) all the ODE parts are unstable and determine conditions for delay independent stability. For case (a), we extend a standard result of linear DDEs via the multiple Lyapunov function and functional methods. For case (b) the standard DDE result is not directly applicable, however, we are able to obtain uniform asymptotic stability using the single Lyapunov function and functional methods.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/9086e4bf7d9c8c4c9a2a5bb6690fb5259d8e16e7

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In Control and Systems Engineering

1. Imen Ellouze
2. Mohamed Ali Hammami
3. Bassem Ben Hamed

Citations in the corpus

• Practical Uniform Stability of Nonlinear Differential Delay Equations (2011, methodology): “Recently, improved performance have been reported by using Lyapunov-Krasovskii methods and linear matrix inequalities (LMI’s) techniques, see [2, 3, 5, 6, 7, 8, 15, 17, 19, 23, 24].”