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Stability of a class of linear switching systems with time delay

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3 Author(s)
Sehjeong Kim ; Dept. of Appl. Math., Univ. of Waterloo, Ont., Canada ; Campbell, S.A. ; Xinzhi Liu

We consider a switching system composed of a finite number of linear delay differential equations (DDEs). It has been shown that the stability of a switching system composed of a finite number of linear ordinary differential equations (ODEs) may be achieved by using a common Lyapunov function method switching rule. We modify this switching rule for ODE systems to a common Lyapunov functional method switching rule for DDE systems and show that it stabilizes our model. Our result uses a Riccati-type Lyapunov functional under a condition on the time delay.

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Circuits and Systems I: Regular Papers, IEEE Transactions on  (Volume:53 ,  Issue: 2 )