Abstract | ||
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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 |
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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 Lin | 1 | 63 | 5.61 |
Yong He | 2 | 3691 | 220.49 |
Min Wu | 3 | 3582 | 272.55 |
Qingping Liu | 4 | 33 | 3.90 |