Absolute Stability and Conditional Stability in General Delayed Differential Equations

Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 37)

Abstract

Some recent results for analyzing the stability of equilibrium of delay differential equations are reviewed. Systems of one or two equations in general form are considered, and the criterions for absolute stability or conditional stability are given explicitly. The results show how the stability depends on both the instantaneous feedback and the delayed feedback.

Notes

Acknowledgements

Partially supported by NSF grant DMS-1022648 and Shanxi 100-talent program.

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Department of MathematicsCollege of William and MaryWilliamsburgUSA

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