Title
Reachable set estimation for Markovian jump neural networks with time-varying delay.
Abstract
This paper is concerned with the reachable set estimation for Markovian jump neural networks with time-varying delay and bounded peak inputs. The objective is to find a description of a reachable set that is containing all reachable states starting from the origin. In the framework of Lyapunov–Krasovskii functional method, an appropriate Lyapunov–Krasovskii functional is constructed firstly. Then by using the Wirtinger-based integral inequality and the extended reciprocally convex matrix inequality, an ellipsoidal description of the reachable set for the considered neural networks is derived. Finally, a numerical example with simulation results is provided to verify the effectiveness of our results.
Year
DOI
Venue
2018
10.1016/j.neunet.2018.09.011
Neural Networks
Keywords
Field
DocType
Markovian jump neural networks,Time-varying delay,Reachable set estimation,Lyapunov–Krasovskii functional
Mathematical optimization,Ellipsoid,Matrix (mathematics),Markovian jump,Regular polygon,Artificial neural network,Mathematics,Bounded function,Set estimation
Journal
Volume
Issue
ISSN
108
1
0893-6080
Citations 
PageRank 
References 
9
0.47
21
Authors
4
Name
Order
Citations
PageRank
Wen-Juan Lin1635.61
Yong He23691220.49
Min Wu33582272.55
Qingping Liu4333.90