Abstract

This paper addresses the problem for output synchronization of a class of complex networks (CNs) with reaction–diffusion terms and input constraint. Without considering input constraint, proportional–spatial derivative (P–sD) control of the CN is firstly studied, and then, the problem of output synchronization of CN is formulated as the feasibility problem of linear matrix inequalities (LMIs). Based on the obtained results, considering P–sD control with input constraint, output synchronization is then studied and formulated as the feasibility problem of LMIs and spatial algebraic linear matrix inequalities (SALMIs). In the end, numerical simulation shows the effectiveness of the proposed methods.

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