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.
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https://hdl.handle.net/11365/25259
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