The present paper aims at tackling the non-delayed synchronization of two first-order, nonautonomous dynamical systems whose state spaces are (curved) Riemannian manifolds. The present research endeavor borrows notions from system theory, differential geometry, control theory and numerical calculus to design a general synchronization theory and a set of numerical methods to implement the devised synchronization theory on a computing platform. The features of these synchronization algorithms are illustrated by means of five sets of numerical experiments including the synchronization of the attitude of a fleet of flying bodies and the secure transmission of a message by the modulation of a system-generated carrier.
Non-delayed synchronization of non-autonomous dynamical systems on Riemannian manifolds and its applications / Fiori, Simone. - In: NONLINEAR DYNAMICS. - ISSN 0924-090X. - ELETTRONICO. - 94:4(2018), pp. 3077-3100. [10.1007/s11071-018-4546-x]
Non-delayed synchronization of non-autonomous dynamical systems on Riemannian manifolds and its applications
Fiori, Simone
2018-01-01
Abstract
The present paper aims at tackling the non-delayed synchronization of two first-order, nonautonomous dynamical systems whose state spaces are (curved) Riemannian manifolds. The present research endeavor borrows notions from system theory, differential geometry, control theory and numerical calculus to design a general synchronization theory and a set of numerical methods to implement the devised synchronization theory on a computing platform. The features of these synchronization algorithms are illustrated by means of five sets of numerical experiments including the synchronization of the attitude of a fleet of flying bodies and the secure transmission of a message by the modulation of a system-generated carrier.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
