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Hyperstability of the Drygas Functional Equation [PDF]
Journal of Function Spaces and Applications, 2013 We use the fixed point theorem for functional spaces to obtain the hyperstability result for the Drygas functional equation on a restricted domain. Namely, we show that a function satisfying the Drygas equation approximately must be exactly the solution ...
Magdalena Piszczek, Joanna Szczawińska
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International Journal of Mathematics and Mathematical Sciences, 2023 In this manuscript, we study the properties and equivalence results for different forms of quadratic functional equations. Using the Brzdȩk and Ciepliński fixed-point approach, we investigate the generalized Hyers–Ulam–Rassias stability for the 3 ...
Ravinder Kumar Sharma, Sumit Chandok
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On Some Recent Developments in Ulam's Type Stability
Abstract and Applied Analysis, 2012 We present a survey of some selected recent developments (results and methods) in the theory of Ulam's type stability. In particular we provide some information on hyperstability and the fixed point methods.
Nicole Brillouët-Belluot +2 more
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Discrete-time adaptive control of robot manipulators [PDF]
A discrete-time model reference adaptive control scheme is developed for trajectory tracking of robot manipulators. Hyperstability theory is utilized to derive the adaptation laws for the controller gain matrices.
Tarokh, M.
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A survey of adaptive control technology in robotics [PDF]
Previous work on the adaptive control of robotic systems is reviewed. Although the field is relatively new and does not yet represent a mature discipline, considerable attention has been given to the design of sophisticated robot controllers.
Tesar, D., Tosunoglu, S.
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MathematicsIn this paper, we deduce some hyperstability results for a generalized class of homogeneous Pexiderized functional equations, expressed as ∑ρ∈Γfxρ.y=ℓf(x)+ℓg(y), x,y∈M, which is inspired by the concept of Ulam stability.
Rashad M. Asharabi, Muaadh Almahalebi
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Using productivity and susceptibility indices to assess the vulnerability of United States fish stocks to overfishing [PDF]
, 2010 Assessing the vulnerability of stocks to fishing practices in U.S. federal waters was recently highlighted by the National Marine Fisheries Service (NMFS), National Oceanic and Atmospheric Administration, as an important factor to consider when 1 ...
Bigelow, Keith +11 more
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Hyperstability of the Fréchet Equation and a Characterization of Inner Product Spaces
Journal of Function Spaces and Applications, 2013 We prove some stability and hyperstability results for the well-known Fréchet equation stemming from one of the characterizations of the inner product spaces. As the main tool, we use a fixed point theorem for the function spaces.
Anna Bahyrycz +3 more
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Survey on Recent Ulam Stability Results Concerning Derivations
Journal of Function Spaces, 2016 This is a survey presenting the most significant results concerning approximate (generalized) derivations, motivated by the notions of Ulam and Hyers-Ulam stability.
Janusz Brzdęk +4 more
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A Contraction Theory Approach to Stochastic Incremental Stability
, 2008 We investigate the incremental stability properties of It\^o stochastic dynamical systems. Specifically, we derive a stochastic version of nonlinear contraction theory that provides a bound on the mean square distance between any two trajectories of a ...
Pham, Q. -C. +2 more
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