In this paper gradient and Hamiltonian dynamics are investigated in both discrete-time and sampled-data contexts. At first, the discrete gradient function is profitably employed to define discrete gradient and Hamiltonian dynamics. On these bases, it is shown that representations of these forms can be recovered when computing the sampled-data equivalent models to gradient and Hamiltonian continuous-time dynamics.

Gradient and Hamiltonian dynamics under sampling / Moreschini, A.; Monaco, S.; Normand-Cyrot, D.. - 52:16(2019), pp. 472-477. (Intervento presentato al convegno 11th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2019 tenutosi a Vienna; Austria) [10.1016/j.ifacol.2019.12.006].

Gradient and Hamiltonian dynamics under sampling

Moreschini A.
;
Monaco S.;Normand-Cyrot D.
2019

Abstract

In this paper gradient and Hamiltonian dynamics are investigated in both discrete-time and sampled-data contexts. At first, the discrete gradient function is profitably employed to define discrete gradient and Hamiltonian dynamics. On these bases, it is shown that representations of these forms can be recovered when computing the sampled-data equivalent models to gradient and Hamiltonian continuous-time dynamics.
2019
11th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2019
Discrete gradient methods; Discrete Hamiltonian dynamics; Sampled-data systems
04 Pubblicazione in atti di convegno::04b Atto di convegno in volume
Gradient and Hamiltonian dynamics under sampling / Moreschini, A.; Monaco, S.; Normand-Cyrot, D.. - 52:16(2019), pp. 472-477. (Intervento presentato al convegno 11th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2019 tenutosi a Vienna; Austria) [10.1016/j.ifacol.2019.12.006].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1356038
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