Abstract
This paper investigates the H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> stability and consensus of discrete-time nonlinear complex dynamical network systems based on T-S fuzzy model. The nonlinear complex dynamical network system consists of N discrete-time T-S fuzzy subsystems. Parallel distributed compensation algorithm and Lyapunov method are applied to design an H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> decentralized fuzzy controller. By considering the characteristic of interconnection matrix of the network, the test of the stability of a network is separated in to the test of the stability of the several nonlinear systems. Furthermore, the consensus problem for the leader-follower complex dynamical network is considered. And the proposed criterion can be obtained by solving a set of linear matrix inequalities(LMIs) which are numerically feasible. The effectiveness of the proposed methods is demonstrated through numerical examples.
Published Version
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