Positivity and Exponential Stability of Coupled Homogeneous Time-Delay Differential–Difference Equations of Degree One

Autor:	Huitao Yang, Yu Zhang, Xuan Huang, Shanshan Hong
Rok vydání:	2021
Předmět:	Lyapunov function symbols.namesake Exponential stability Homogeneous Applied Mathematics Signal Processing symbols Differential difference equations Applied mathematics Mathematics Degree (temperature)
Zdroj:	Circuits, Systems, and Signal Processing. 41:762-788
ISSN:	1531-5878 0278-081X
DOI:	10.1007/s00034-021-01828-0
Popis:	This paper investigates the global exponential stability of coupled homogeneous positive time-delay differential–difference equations of degree one. By using max-separable Lyapunov functions, a sufficient criterion for coupled homogeneous positive time-delay differential–difference equations of degree one is obtained. It should be noted that it is the first time that the exponential stability result for coupled homogeneous positive time-delay differential–difference equations of degree one is given. A numerical example is presented to demonstrate the effectiveness of the derived results.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::28ff02cae21f23650e386ac29d651956 https://doi.org/10.1007/s00034-021-01828-0 Zobrazit plný text záznamu Full text from SpringerLink