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.
2018
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11566/264714
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