In this paper we present new results on asymptotic consensus for continuous-time nonlinear time varying networks. A key feature in the following is that the monotonicity property (i.e. cooperativity) is not required, unlike most of existing literature on the subject. Additionally, we extend the use of a “State Frozen” concept [16] and integral connectivity to this non-trivial scenario, and give condition for consensus with the additional merit to be frozen in state variables and therefore of simpler verification. Finally, we give an estimate of the exponential rate of convergence towards the agreement manifold.
On exponential consensus for time-varying non-cooperative nonlinear networks / Manfredi, Sabato; Angeli, D.. - (2015), pp. 557-562. (Intervento presentato al convegno European Control Conference, ECC 2015 tenutosi a aut nel 2015) [10.1109/ECC.2015.7330602].
On exponential consensus for time-varying non-cooperative nonlinear networks
MANFREDI, SABATO;
2015
Abstract
In this paper we present new results on asymptotic consensus for continuous-time nonlinear time varying networks. A key feature in the following is that the monotonicity property (i.e. cooperativity) is not required, unlike most of existing literature on the subject. Additionally, we extend the use of a “State Frozen” concept [16] and integral connectivity to this non-trivial scenario, and give condition for consensus with the additional merit to be frozen in state variables and therefore of simpler verification. Finally, we give an estimate of the exponential rate of convergence towards the agreement manifold.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
