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On Bounded Strictly Positive Operators of Closed Range and Some Applications to Asymptotic Hyperstability of Dynamic Systems
(Hindawi, 2013)
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 ...
Fixed and Best Proximity Points of Cyclic Jointly Accretive and Contractive Self-Mappings
(Hindawi Publishing Corporation, 2012)
p(>= 2)-cyclic and contractive self-mappings on a set of subsets of a metric space which are simultaneously accretive on the whole metric space are investigated. The joint fulfilment of the p-cyclic contractiveness and ...
About the Stabilization of a Nonlinear Perturbed Difference Equation
(Hindawi Publishing Corporation, 2012)
This paper investigates the local asymptotic stabilization of a very general class of instable autonomous nonlinear difference equations which are subject to perturbed dynamics which can have a different order than that ...
Stability and Limit Oscillations of a Control Event-Based Sampling Criterion
(Hindawi Publishing Corporation, 2012)
This paper investigates the presence of limit oscillations in an adaptive sampling system. The basic sampling criterion operates in the sense that each next sampling occurs when the absolute difference of the signal amplitude ...
Some Results on Fixed and Best Proximity Points of Multivalued
(Hindawi Publishing Corporation, 2013)
This paper is devoted to investigate the fixed points and best proximity points of multivalued cyclic self-mappings on a set of subsets of complete metric spaces endowed with a partial order under a generalized contractive ...
Fixed Points of Closed and Compact Composite Sequences of Operators and Projectors in a Class of Banach Spaces
(Hindawi Publishing Corporation, 2013)
Some results on fixed points related to the contractive compositions of bounded operators in a class of complete metric spaces which can be also considered as Banach's spaces are discussed through the paper. The class of ...
Stability of Switched Feedback Time-Varying Dynamic Systems Based on the Properties of the Gap Metric for Operators
(Hindawi Publishing Corporation, 2012)
The stabilization of dynamic switched control systems is focused on and based on an operator-based formulation. It is assumed that the controlled object and the controller are described by sequences of closed operator pairs ...
On Best Proximity Point Theorems and Fixed Point Theorems for p-Cyclic Hybrid Self-Mappings in Banach Spaces
(Hindawi Publishing Corporation, 2013)
This paper relies on the study of fixed points and best proximity points of a class of so-called generalized point-dependent (K-Lambda)hybrid p-cyclic self-mappings relative to a Bregman distance Df, associated with a ...
Asymptotic Hyperstability of a Class of Linear Systems under Impulsive Controls Subject to an Integral Popovian Constraint
(Hindawi Publishing Corporation, 2013)
This paper is focused on the study of the important property of the asymptotic hyperstability of a class of continuous-time dynamic systems. The presence of a parallel connection of a strictly stable subsystem to an ...
Best Proximity Points of Generalized Semicyclic Impulsive Self-Mappings: Applications to Impulsive Differential and Difference Equations
(Hindawi Publishing Corporation, 2013)
This paper is devoted to the study of convergence properties of distances between points and the existence and uniqueness of best proximity and fixed points of the so-called semicyclic impulsive self-mappings on the union ...