Finite L
2-gain with nondifferentiable storage functions |
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Authors: | A Bacciotti F Ceragioli |
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Institution: | (1) Dipartimento di Matematica del Politecnico di Torino, c.so Duca degli Abruzzi, 24, 10129 Torino, Italy |
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Abstract: | 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 L2-gain 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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Keywords: | 93D25 93D15 |
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