Observer-based quasi-containment of fractional-order multi-agent systems via event-triggered strategy

Distributed Containment Control of Fractional-Order Multi-Agent Systems With Unknown Persistent Disturbances on Multilayer Networks

“…The distributed consensus control of FOMASs was first investigated in [20]. Then to achieve the containment control of FOMASs, numerous of good works have been done [21]- [24]. In [21], the quasicontainment control of FOMASs was achieved by taking an event-triggered strategy.…”

“…Then to achieve the containment control of FOMASs, numerous of good works have been done [21]- [24]. In [21], the quasicontainment control of FOMASs was achieved by taking an event-triggered strategy. In [22], some necessary and sufficient conditions were established for achieving containment control of FOMASs.…”

“…Taking into account the fact that there may exist external disturbances in many practical engineering applications, which affect the stability of the investigated system. In [21]- [24], the influence of the external disturbances were not considered. The agreement coordination problem of FOMASs with unknown persistent external disturbances has been studied in [25].…”

“…Since the fractional-order calculus has memory property, there are great differences between fractional-order calculus and integer-order calculus, causing the methods proposed in [14]- [19] cannot be directly extended to solve the problem proposed herein. In [21]- [24], the convergence analysis was finished by taking the theories of frequency domain analysis, matrix analysis or bilinear transformation. In contrast, the investigated system in this paper is on multilayer networks and affected by unknown disturbances, therefore, on the one hand, observers need to be designed to make an estimation for the state of each follower, on the other hand, the additive coupling on multilayer networks need to be decoupled.…”

“…In contrast, the investigated system in this paper is on multilayer networks and affected by unknown disturbances, therefore, on the one hand, observers need to be designed to make an estimation for the state of each follower, on the other hand, the additive coupling on multilayer networks need to be decoupled. Thus, the methods proposed in [21]- [24] cannot be directly extended to solve the problem proposed in this paper. In [28], the synchronization problem of multi-agent systems which connected via different types of interactions was investigated, a general criterion was derived such that the additive coupling could be decoupled.…”