Abstract
In this brief, admissible leader-following consensus problem of fractional-order singular multi-agent systems (FOSMASs) is analyzed where the dynamics of each agent and the leader are both modeled by fractional-order singular linear systems with ${0}{ . The definition of admissible leader-following consensus of FOSMASs is proposed and the communication network topology is assumed to be an undirected graph. A distributed consensus protocol is proposed based on the information of observer. The consensus conditions are derived with the help of some useful lemmas. Two simulation examples are given to show how to solve LMIs to get observer and control gains.
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