The paper proposes an alternate definition of set-valued derivative, with respect to that in a previous paper, for computing the evolution of a (candidate) Lyapunov function along the solutions of a class of differential variational inequalities (DVIs). The class of DVIs is of interest in that it includes as a special case the dynamics of full-range (FR) cellular neural networks (CNNs). The usefulness of the new definition is discussed in the context of a generalized Lyapunov method for addressing stability and convergence of solutions of DVIs and FR-CNNs.

DI MARCO, M., Forti, M., Grazzini, M., Pancioni, L. (2009). Set-valued derivative and Lyapunov method for full-range cellular neural networks. In Proceedings of 2009 IEEE International Symposium on circuits and systems Taipei, Taiwan, 24-27 May 2009. (pp.2705-2708) [10.1109/ISCAS.2009.5118360].

Set-valued derivative and Lyapunov method for full-range cellular neural networks

DI MARCO, MAURO;FORTI, MAURO;GRAZZINI, MASSIMO;PANCIONI, LUCA
2009-01-01

Abstract

The paper proposes an alternate definition of set-valued derivative, with respect to that in a previous paper, for computing the evolution of a (candidate) Lyapunov function along the solutions of a class of differential variational inequalities (DVIs). The class of DVIs is of interest in that it includes as a special case the dynamics of full-range (FR) cellular neural networks (CNNs). The usefulness of the new definition is discussed in the context of a generalized Lyapunov method for addressing stability and convergence of solutions of DVIs and FR-CNNs.
2009
9781424438273
DI MARCO, M., Forti, M., Grazzini, M., Pancioni, L. (2009). Set-valued derivative and Lyapunov method for full-range cellular neural networks. In Proceedings of 2009 IEEE International Symposium on circuits and systems Taipei, Taiwan, 24-27 May 2009. (pp.2705-2708) [10.1109/ISCAS.2009.5118360].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11365/25259
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo