Short-time behaviour analysis of fractional-order model of generalized pantograph-type neural networks. Issue 3 (1st October 2016)

• Record Type: Journal Article
• Authors: Kinh, C. T.; Hien, L. V.; Ke, T. D.
• Is Part Of: International journal of computer mathematics. Volume 1:Issue 3/4(2016)
• Page Start: 113
• Page End: 128
• Publication Date: 2016-10-01
• Subjects: Fractional-order neural networks -- pantograph equations -- short-time stability -- proportional delays -- M-matrix; Computer systems -- Periodicals; Computer systems; Periodicals; 004
• DOI: 10.1080/23799927.2017.1281847
• Languages: English
• ISSNs: 2379-9927

Abstract

ABSTRACT: In this paper, the problem of short-time behaviour analysis including short-time stability and short-time boundedness is studied for a class of fractional-order generalized pantograph-type neural networks. By extending the comparison principle with Mittag–Leffler functions, explicit conditions are derived in terms of M-matrix inequalities to ensure that the system states are confined in a certain threshold over a pre-specified interval of time. Finally, two numerical examples with simulations are given to demonstrate the effectiveness of the obtained results.