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Some necessary and sufficient conditions for the output controllability of temporal Boolean control networks

Yang Liu;  Jianquan Lu;  Bo Wu — 2014

ESAIM: Control, Optimisation and Calculus of Variations

This paper investigates the output controllability problem of temporal Boolean networks with inputs (control nodes) and outputs (controlled nodes). A temporal Boolean network is a logical dynamic system describing cellular networks with time delays. Using semi-tensor product of matrices, the temporal Boolean networks can be converted into discrete time linear dynamic systems. Some necessary and sufficient conditions on the output controllability two kinds of inputs are obtained by providing corresponding...

Stability analysis of high-order Hopfield-type neural networks based on a new impulsive differential inequality

Yang Liu;  Rongjiang Yang;  Jianquan Lu;  Bo Wu;  Xiushan Cai — 2013

International Journal of Applied Mathematics and Computer Science

This paper is devoted to studying the globally exponential stability of impulsive high-order Hopfield-type neural networks with time-varying delays. In the process of impulsive effect, nonlinear and delayed factors are simultaneously considered. A new impulsive differential inequality is derived based on the Lyapunov-Razumikhin method and some novel stability criteria are then given. These conditions, ensuring the global exponential stability, are simpler and less conservative than some of the previous...

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