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2013 On Bounded Strictly Positive Operators of Closed Range and Some Applications to Asymptotic Hyperstability of Dynamic Systems
M. De la Sen
Abstr. Appl. Anal. 2013(SI41): 1-12 (2013). DOI: 10.1155/2013/639576

Abstract

The problem discussed is the stability of two input-output feedforward and feedback relations, under an integral-type constraint defining an admissible class of feedback controllers. Sufficiency-type conditions are given for the positive, bounded and of closed range feed-forward operator to be strictly positive and then boundedly invertible, with its existing inverse being also a strictly positive operator. The general formalism is first established and the linked to properties of some typical contractive and pseudocontractive mappings while some real-world applications and links of the above formalism to asymptotic hyperstability of dynamic systems are discussed later on.

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M. De la Sen. "On Bounded Strictly Positive Operators of Closed Range and Some Applications to Asymptotic Hyperstability of Dynamic Systems." Abstr. Appl. Anal. 2013 (SI41) 1 - 12, 2013. https://doi.org/10.1155/2013/639576

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 07095202
MathSciNet: MR3073478
Digital Object Identifier: 10.1155/2013/639576

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI41 • 2013
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