Resilient based consensus of fractional-order delayed Multi-Agent Systems in Riemann-Liouville Sense

Abstract

In this paper, in Riemann-Liouville sense, delayed multi-agent system of fractional-order is being considered, in which we consider corresponding topology is weighted graph. To make controller design more practical, it is assumed that the controller is not implemented as it is and we consider the case, when there is disturbance in controller, which is assumed to be bounded. By applying algebraic graph theory and classical Lyapunov direct method, some algebraic criteria are provided and for analysing consensus, a new method is used. Corresponding Lyapunov function of first order can be considered is major reason for suggested access. For showing validity of our approach, some effective examples are also provided.

Keywords

• Lyapunov direct method
• Consensus
• Fractional-order delayed multi-agent system
• Riemann-Liouville derivative