Abstract
Necessary and Sufficient Conditions for an input-output operator of a linear time variant finite dimensional system to be a strict contraction area suggested. This is a generalization of the well known bounded real lemma. Both the definite and indefinite case is considered. The results are presented in state space form.
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© 1995 Birkhäuser Verlag Basel/Switzerland
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Ben-Artzi, A., Gohberg, I., Kaashoek, M.A. (1995). Discrete Nonstationary Bounded Real Lemma in Indefinite Metrics, the Strict Contractive Case. In: Gohberg, I., Langer, H. (eds) Operator Theory and Boundary Eigenvalue Problems. Operator Theory: Advances and Applications, vol 80. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9106-6_4
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DOI: https://doi.org/10.1007/978-3-0348-9106-6_4
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9909-3
Online ISBN: 978-3-0348-9106-6
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