The paper deals with both theoretical and application aspects concerning Iterative Feedback Tuning (IFT) algorithms in the design of a class of fuzzy control systems employing Mamdani-type PI-fuzzy controllers. The presentation is focused on twodegree-of-freedom fuzzy control system structures resulting in one design method. The stability analysis approach based on Popov’s hyperstability theory...

Abstract In this paper, we unify the system of functional equations defining a multi-quadratic–cubic mapping to single equation. Applying fixed point theorem, study generalized Hyers–Ulam stability mappings. As result, investigate hyperstability mappings in some senses.

In this manuscript, we study the properties and equivalence results for different forms of quadratic functional equations. Using Brzdȩk Ciepliński fixed-point approach, investigate generalized Hyers–Ulam–Rassias stability 3-variables equation in setting 2-Banach space. Also, obtain some hyperstability equation. The obtained paper extend several known literature to

In this work, by using some orthogonally fixed point theorem, we prove the stability and hyperstability of C ∗ -ternary Jordan homomorphisms between id="M3"> Banach algebras id="M4"> derivations functional equation on id="M5"> algebras.

A new method for the stabilization of time-varying autoregressive models is proposed. The method is based on the interpretation of the underdetermined time-varying least squares prediction problem as an ill-posed inverse problem. The problem is regularized with the Tikhonov approach and is then augmented with nonlinear hyperstability constraints. The problem is solved iteratively with an exteri...

In this paper, we first present the new concept of $2$-normed algebra. We investigate the structure of this algebra and give some examples. Then we apply a fixed point theorem to prove the stability and hyperstability of $(alpha, beta, gamma)$-derivations in $2$-Banach algebras.

In this paper, we investigate the generalized Hyers-Ulam-Rassias and the Isac and Rassias-type stability of the conditional of orthogonally ring $*$-$n$-derivation and orthogonally ring $*$-$n$-homomorphism on $C^*$-algebras. As a consequence of this, we prove the hyperstability of orthogonally ring $*$-$n$-derivation and orthogonally ring $*$-$n$-homomorphism on $C^*$-algebras.