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**On the controllability and stabilizability of non-homogeneous multi-agent dynamical systems.**
*(English)*
Zbl 1250.93033

Summary: In this paper, we consider a supervisory control scheme for non-homogenous multi-agent systems. Each agent is modeled through an independent strictly proper SISO state space model, and the supervisory controller, representing the information exchange among the agents, is implemented in turn via a linear state-space model. Controllability and observability of the overall system are characterized, and some preliminary results about stability and stabilizability are provided. The paper extends some of the results obtained in Hara et al. (2007, 2009) to non-homogenous multi-agent systems, and also for the homogeneous case.

### MSC:

93B05 | Controllability |

93D21 | Adaptive or robust stabilization |

93A13 | Hierarchical systems |

93A14 | Decentralized systems |

### Keywords:

multi-agent system; supervisory control; controllability; asymptotic stability/stabilizability; polynomial matrices
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\textit{M. E. Valcher} and \textit{P. Misra}, Syst. Control Lett. 61, No. 7, 780--787 (2012; Zbl 1250.93033)

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### References:

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