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Continuous and discrete Halanay-type inequalities

Published online by Cambridge University Press:  17 April 2009

S. Mohamad  and
K. Gopalsamy
S. Mohamad
Affiliation:
School of Informatics and Engineering, Flinders University of South Australia, Bedford Park SA 5042, Australia, e-mail: gopal@ist.flinders.edu.au
K. Gopalsamy
Affiliation:
School of Informatics and Engineering, Flinders University of South Australia, Bedford Park SA 5042, Australia, e-mail: gopal@ist.flinders.edu.au
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Abstract

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We consider continuous time and discrete time Halanay-type inequalities for nonautonomous scalar systems with discrete and distributed delays. The results obtained generalise the existing results of Halanay and improve certain results of Baker and Tang. Furthermore, it is shown that the discrete time inequalities which are analogues of continuous time inequalities preserve the stability conditions corresponding to the continuous time Halanay-type inequalities.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 61 , Issue 3 , June 2000 , pp. 371 - 385
Copyright
Copyright © Australian Mathematical Society 2000

References

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