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.
|Titolo:||Finite L-2-gain with Nondifferentiable Storage Functions|
|Data di pubblicazione:||2006|
|Digital Object Identifier (DOI):||10.1007/s00030-005-0013-8|
|Appare nelle tipologie:||1.1 Articolo in rivista|