Dissipativity analysis of memristive neural networks with time‐varying delays and randomly occurring uncertainties. (24th October 2015)

• Record Type: Journal Article
• Authors: Li, Ruoxia; Cao, Jinde
• Is Part Of: Mathematical methods in the applied sciences. Volume 39:Number 11(2016:Jul. 30)
• Page Start: 2896
• Page End: 2915
• Publication Date: 2015-10-24
• Subjects: memristive -- dissipativity -- time‐varying delays -- randomly occurring uncertainties (ROUs) -- linear matrix inequalities (LMIs); Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.3738
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : Dissipativity theory is a very important concept in the field of control system. In this paper, we pay attention to the problem of dissipativity analysis of memristive neural networks with time‐varying delay and randomly occurring uncertainties(ROUs). Under the framework of Filippov solution, differential inclusion theory, by employing a proper Lyapunov functional, and some inequality techniques, the dissipativity criteria are obtained in terms of LMIs. It should be noteworthy that the uncertainty terms as well as the ROUs are separately taken into consideration, in which the uncertainties are norm‐bounded and the ROUs obey certain mutually uncorrelated Bernoulli‐distributed white noise sequences. Finally, the effectiveness of the proposed method will be verified via numerical example. Copyright © 2015 John Wiley & Sons, Ltd.