In this paper we present new results on exponential consensus for continuous-time nonlinear time varying cooperative networks. We endow the well known assumption of integral connectivity proposed by Moreau with a remarkable additional feature of being frozen in state variables, making its direct verification more straightforward. Moreover, we give an estimate of the exponential rate of convergence towards the agreement space. Finally, the proposed results are validated for representative examples.
Frozen state conditions for exponential consensus of time-varying cooperative nonlinear networks / Manfredi, Sabato; Angeli, David. - In: AUTOMATICA. - ISSN 0005-1098. - STAMPA. - 64:(2016), pp. 182-189. [10.1016/j.automatica.2015.11.011]
Frozen state conditions for exponential consensus of time-varying cooperative nonlinear networks
ANGELI, DAVID
2016
Abstract
In this paper we present new results on exponential consensus for continuous-time nonlinear time varying cooperative networks. We endow the well known assumption of integral connectivity proposed by Moreau with a remarkable additional feature of being frozen in state variables, making its direct verification more straightforward. Moreover, we give an estimate of the exponential rate of convergence towards the agreement space. Finally, the proposed results are validated for representative examples.
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