Finite L2-gain with Nondifferentiable Storage Functions
نویسنده
چکیده
We consider affine control systems with the finite L2-gain property in the case the storage function is nondifferentiable. We generalize some classical results concerning the connection of the finite L2-gain property with the stability properties of the unforced system, the characterization of finite L2gain by means of partial differential inequalities of the Hamilton-Jacobi type and the problem of giving 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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