Open AccessRobust stability of a class of differential systems with state after-effect dynamics
Author(s) -
Manuel De la Sen
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1391/1/012068
Subject(s) - exponential stability , convergence (economics) , mathematics , stability (learning theory) , class (philosophy) , dynamics (music) , equilibrium point , zero (linguistics) , control theory (sociology) , differential (mechanical device) , state (computer science) , differential equation , nonlinear system , mathematical analysis , computer science , physics , economics , algorithm , linguistics , philosophy , control (management) , quantum mechanics , machine learning , artificial intelligence , acoustics , thermodynamics , economic growth
This paper is concerned with the investigation of the global stability and global asymptotic stability of the error with respect to its nominal version of a non-linear time-varying perturbed functional differential system which is influenced by point, finite-distributed and Volterra-type distributed delayed dynamics. The boundedness of the error and its asymptotic convergence to the zero equilibrium are investigated and some formal “ ad- hoc” results are proved.