Results 41 to 50 of about 2,363 (230)

Stability of the Fréchet Equation in Quasi-Banach Spaces

Mathematics, 2020
We investigate the Hyers–Ulam stability of the well-known Fréchet functional equation that comes from a characterization of inner product spaces. We also show its hyperstability on a restricted domain. We work in the framework of quasi-Banach spaces.
Sang Og Kim
doaj   +1 more source

On the asymptotic hyperstability of switched systems

CoRR, 2013
Asymptotic hyperstability is achievable under certain switching laws if at least one of the feed-forward parameterization: 1) possesses a strictly positive real transfer function, 2) a minimum residence time interval is respected for each activation time interval of such a parameterization, and 3) a maximum allowable residence time interval is ...
Manuel de la Sen, Asier Ibeas, Santiago Alonso-Quesada   +2 more
openaire   +2 more sources

Application of hyperstability theory to interference cancelling [PDF]

, 1994
An alternative to the usual adaptive noise cancelling method devoted to removing interference is presented. In the conventional methodology to implement adaptive cancellers a reference signal is necessary correlated with the interference.
Bertran Albertí, Eduardo, Montoro López, Gabriel   +1 more
core   +1 more source

A Hyperstability/Multiobjective Optimization Approach for Active Flexible Structures

, 1991
A controller design method is proposed as a combination of the so-called hyperstability theory and the multiobjective optimization approach. In this combination the hyperstability theory serves to specify a computationally tractable controller stucture ...
Bals, J., J. Bals
core   +1 more source

Hyperstability of cubic functional equation in ultrametric spaces

, 2017
In this paper, we present the hyperstability results of cubic functional equations in ultrametric Banach ...
Almahalebi, Muaadh, Kabbaj, Samir, Aribou, Youssef   +2 more
core   +1 more source

Adaptive Control Design and Stability Analysis of Robotic Manipulators

Actuators, 2018
In this paper, the author presents the adaptive control design and stability analysis of robotic manipulators based on two main approaches, i.e., Lyapunov stability theory and hyperstability theory.
Bin Wei
doaj   +1 more source

Orthogonally Fixed Points and (m, m)-Hom-Derivation Equations

Journal of Mathematics, 2022
In this paper, we introduce the concept of m-Hom-m-derivation (briefly (m, m)-Hom-derivation) equations in orthogonally Banach algebras. We use the orthogonally fixed point to investigate the hyperstability of (m, m)-Hom-derivation equations.
Abdollah Dinmohammadi
doaj   +1 more source

On an equation characterizing multi-cubic mappings and its stability and hyperstability [PDF]

Fixed Point Theory, 2019
In this paper, we introduce $n$-variables mappings which are cubic in each variable. We show that such mappings satisfy a functional equation. The main purpose is to extend the applications of a fixed point method to establish the Hyers-Ulam stability ...
A. Bodaghi, B. Shojaee
semanticscholar   +1 more source

Orthogonally C∗-Ternary Jordan Homomorphisms and Jordan Derivations: Solution and Stability

Journal of Mathematics, 2022
In this work, by using some orthogonally fixed point theorem, we prove the stability and hyperstability of orthogonally C∗-ternary Jordan homomorphisms between C∗-ternary Banach algebras and orthogonally C∗-ternary Jordan derivations of some functional ...
Vahid Keshavarz, Sedigheh Jahedi
doaj   +1 more source

A Space Function Approach to the Hyperstability and the Average Hyperstability of Distributed Systems With Space-Varying Linear Parts and Time-Varying Gains

, 1975
We propose an extension of the Popov’s hyperstability theory which applies to a class of single-control distributed systems in which the linear part depends explicitely upon the distributed parameter, z. The nonlinearness of these systems is expressed by
G. Jumarie
core   +1 more source