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Observer-based consensus of fractional order parabolic PDEs agents on directed networks via boundary communication by Fei Wang; Chuan Zhang; Yongqing Yang; Ning Li is a Physics and Astronomy article available to read on EtoBox.

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This paper investigates the consensus of fractional order multi-agent systems which are modeled by parabolic partial differential equations (PDEs). Both leaderless and leader-following consensus are studied. Observers are designed for every agent based on the outputs of them, furthermore, communications among agents just exist at spatial boundary position instead of at every spatial position. Some consensus criteria are derived based on fractional order Lyapunov method, which are formed as matrix inequalities. Finally, two examples are given to show the effectiveness of the theoretical results.

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Author

Fei Wang; Chuan Zhang; Yongqing Yang; Ning Li

Publisher

Elsevier BV

Published

2023

Language

EN

Field

Physics and Astronomy (Physical Sciences)