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Damage location in flexible structures using H-2 and H-infinity norm approaches
(Latin Amer J Solids Structures, 2006-01-01)
Nowadays there is great interest in structural damage detection using non-destructive tests. Once the failure is identified, as for instance a crack, it is possible to plan the next step based on a predictive maintenance ...
A global optimization approach for the problem of controller order reduction
(2002-01-01)
A novel formulation for the problem of optimal controller order reduction for continuous-time linear systems is presented. The H2 or the H∞-norms of the error realization between the full and the reduced order controlled ...
A new method for comparing two Norm Hilbert spaces and their operators
(ELSEVIER SCIENCE BV, 2011)
The paper deals with operators on Norm Hilbert spaces over a Krull valued field K. By using carefully selected equivalent norms (i) the perturbation theory of Fredholm operators (see Ochsenius and Schikhof (2010) [7]) is ...
Damage-tolerant Active Control Using A Modal H-infinity-norm-based Methodology
(Pergamon-Elsevier LtdOxford, 2017)
Some operator inequalities for unitary invariant norms
(Unión Matemática Argentina, 2005-12)
Let L(H) be the algebra of bounded operators on a complex separable Hilbert space H. Let N be a unitary invariant norm defined on a norm ideal I ⊆ L(H)$. Given two positive invertible operators P, Q ∈ L(H) and k ∈ (-2,2], ...
Generalized Open Mapping Theorem for X-normed spaces
(2019)
The theory of X-normed spaces over non-Archimedean valued fields with valuations of higher rank was introduced by H. Ochsenius and W. H. Schikhof in [1] and further developed in [2–4, 6, 7] and [5]. In order to obtain ...
H-infinity and H-2 guaranteed costs computation for uncertain linear systems
(Taylor & Francis LtdLondonInglaterra, 1997)
Inequalities related to Bourin and Heinz means with a complex parameter
(Academic Press Inc Elsevier Science, 2015-06-15)
A conjecture posed by S. Hayajneh and F. Kittaneh claims that given A, B positive matrices, 0≤t≤1, and any unitarily invariant norm the following inequality holds{triple vertical-rule fence}AtB1-t+BtA1-t{triple vertical-rule ...