On contraction of functional differential equations
Version 2 2024-06-03, 11:43
Version 1 2018-07-16, 11:10
journal contribution
posted on 2024-06-03, 11:43 authored by PHA 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
56Pagination
2377-2397Location
Philadelphia, Pa.Publisher DOI
ISSN
0363-0129eISSN
1095-7138Language
EnglishPublication classification
C Journal article, C1 Refereed article in a scholarly journalCopyright notice
2018, Society for Industrial and Applied MathematicsIssue
3Publisher
SIAM PUBLICATIONSUsage metrics
Categories
Keywords
Science & TechnologyTechnologyPhysical SciencesAutomation & Control SystemsMathematics, AppliedMathematicsfunctional differential equationscontractionexponential stabilityperiodic solutionsTIME-VARYING DELAYSCELLULAR NEURAL-NETWORKSEXPONENTIAL STABILITYPERIODIC-SOLUTIONSASYMPTOTIC STABILITYNONLINEAR-SYSTEMSNEUTRAL TYPEEXISTENCECRITERIAATTRACTIVITYSchool of Engineering010203 Calculus of Variations, Systems Theory and Control Theory010204 Dynamical Systems in Applications090602 Control Systems, Robotics and Automation970109 Expanding Knowledge in EngineeringDP1301015324901 Applied mathematics
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