The paper addresses how to locally stabilize a network around a given equilibrium via insertion of an additional node (the controller) and suitable design of the interactions among the controller and the original nodes of the network. Necessary and sufficient conditions are investigated and a design procedure is provided. Special attention is also devoted to limit the in-degree and out-degree of the controller by possibly perturbing the target equilibrium. An application to a multispecies biological system, with logistic growth and mutual interactions of the species, is worked out in order to show both the relevance of the considered problem and effectiveness of the proposed solution.
Network equilibrium stabilization via single-node insertion / Battistelli G.; Cencetti G.; Chisci L.; Fanelli D.. - ELETTRONICO. - (2019), pp. 1993-1998. ( 18th European Control Conference, ECC 2019 ita 2019) [10.23919/ECC.2019.8795668].
Network equilibrium stabilization via single-node insertion
Battistelli G.;Cencetti G.;Chisci L.;Fanelli D.
2019
Abstract
The paper addresses how to locally stabilize a network around a given equilibrium via insertion of an additional node (the controller) and suitable design of the interactions among the controller and the original nodes of the network. Necessary and sufficient conditions are investigated and a design procedure is provided. Special attention is also devoted to limit the in-degree and out-degree of the controller by possibly perturbing the target equilibrium. An application to a multispecies biological system, with logistic growth and mutual interactions of the species, is worked out in order to show both the relevance of the considered problem and effectiveness of the proposed solution.
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