Continuous and discrete Halanay-type inequalities
By S. Mohamad, K. Gopalsamy. Bulletin of the Australian Mathematical Society, 2000
92 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Control and Systems Engineering, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/0c9e9b07db464196b006af461e09f582bfe3c2ae
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In Applied Mathematics
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Citations in the corpus
- Exponential stability in p -th mean of solutions, and of convergent Euler-type solutions, of stochastic delay differential equations (2005, background): “We include amongst our citations [1–38] some works that do not have a direct relevance to the discussion but are valuable for the additional references that they include, as well as the insight into related matters.”
- Discrete Halanay-type inequalities and applications (2003, background): “In [7], we showed that some discrete versions of these max inequalities can be applied to study the global asymptotic stability of generalized di4erence equations (see also [10]).”