Archivio Istituzionale della RicercaWe consider affine control systems with the finite L2-gain property in the case the storage function is not differentiable. We generalize some classical results concerning the connection of the finite L2-gain property with the stability property of the unforced system, the characterization of the infinite L2-gain by means of partial differential inequalities of the Hamilton-Jacobi type and the problem of givin to a system the finite L2-gain property by means of a feedback law. Moreover, we introduce and study the apparently new notion of exact storage function.
Finite L-2-gain with Nondifferentiable Storage Functions / Bacciotti, Andrea; Ceragioli, Francesca Maria. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - STAMPA. - 12:(2006), pp. 401-418. [10.1007/s00030-005-0013-8]
Finite L-2-gain with Nondifferentiable Storage Functions
BACCIOTTI, Andrea;CERAGIOLI, Francesca Maria
2006
Abstract
We consider affine control systems with the finite L2-gain property in the case the storage function is not differentiable. We generalize some classical results concerning the connection of the finite L2-gain property with the stability property of the unforced system, the characterization of the infinite L2-gain by means of partial differential inequalities of the Hamilton-Jacobi type and the problem of givin to a system the finite L2-gain property by means of a feedback law. Moreover, we introduce and study the apparently new notion of exact storage function.
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https://hdl.handle.net/11583/1398667
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