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On contraction of functional differential equations
Version 2 2024-06-03, 11:43
Version 1 2018-07-16, 11:10
journal contribution
posted on 2018-01-01, 00:00 authored by P H A Ngoc, Hieu TrinhHieu TrinhGeneral nonlinear functional differential equations are considered. Explicit criteria for contraction of such equations are presented. Then explicit criteria for global exponential stability of equilibria and for existence, uniqueness, and global exponential stability of periodic orbits are derived. Some illustrative examples are given.
History
Journal
SIAM journal on control and optimizationVolume
56Issue
3Pagination
2377 - 2397Publisher
Society for Industrial and Applied MathematicsLocation
Philadelphia, Pa.Publisher DOI
ISSN
0363-0129Language
engPublication classification
C Journal article; C1 Refereed article in a scholarly journalCopyright notice
2018, Society for Industrial and Applied MathematicsUsage metrics
Keywords
functional differential equationscontractionexponential stabilityperiodic solutionsScience & TechnologyTechnologyPhysical SciencesAutomation & Control SystemsMathematics, AppliedMathematicsTIME-VARYING DELAYSCELLULAR NEURAL-NETWORKSPERIODIC-SOLUTIONSASYMPTOTIC STABILITYNONLINEAR-SYSTEMSNEUTRAL TYPEEXISTENCECRITERIAATTRACTIVITYMechanical Engineering
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