摘要
This paper focuses on the reachable set estimation for Markovian jump neural networks with time delay.By allowing uncertainty in the transition probabilities,a framework unifies and enhances the generality and realism of these systems.To fully exploit the unified uncertain transition probabilities,an equivalent transformation technique is introduced as an alternative to traditional estimation methods,effectively utilizing the information of transition probabilities.Furthermore,a vector Wirtinger-based summation inequality is proposed,which captures more system information compared to existing ones.Building upon these components,a novel condition that guarantees a reachable set estimation is presented for Markovian jump neural networks with unified uncertain transition probabilities.A numerical example is illustrated to demonstrate the superiority of the approaches.
基金
funded by National Key Research and Development Program of China under Grant 2022YFE0107300
the Chongqing Technology Innovation and Application Development Special Key Project under Grant CSTB2022TIAD-KPX0162
the National Natural Science Foundation of China under Grant U22A20101
the Chongqing Technology Innovation and Application Development Special Key Project under Grant CSTB2022TIAD-CUX0015
the Chongqing postdoctoral innovativetalents support program under Grant CQBX202205
the China Postdoctoral Science Foundation under Grant 2023M730411.