On Bounded Strictly Positive Operators of Closed Range and Some Applications to Asymptotic Hyperstability of Dynamic Systems
Data(s) |
26/09/2013
26/09/2013
2013
|
---|---|
Resumo |
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. |
Identificador |
Abstract and Applied Analysis 2013 : (2013) // Article ID 310106 1085-3375 |
Idioma(s) |
eng |
Publicador |
Hindawi |
Relação |
http://www.hindawi.com/journals/aaa/2013/639576/ |
Direitos |
Copyright © 2013 M. De la Sen. info:eu-repo/semantics/openAccess |
Palavras-Chave | #fixed-point theorems #strong-convergence theorems #absolute stability #pseudo-contraction #mappings #existence #weak |
Tipo |
info:eu-repo/semantics/article |