the paper is concerned with robust stability criteria for takagi- sugeno (t-s) fuzzy systems with distributed delays and time delay in the leakage term. by exploiting a model transformation, the system is converted to one of the neutral delay system. global robust stability result is proposed by a new lyapunov-krasovskii functional which takes into account the range of delay and by making use o...

We are going to consider the functional inequality f (x + y)− f (x)− f (y) ≥ φ(x, y), x, y ∈ X , where (X ,+) is an abelian group, and φ : X ×X →R and f : X →R are unknown mappings. In particular, we will give conditions which force biadditivity and symmetry of φ and the representation f (x) = (1/2)φ(x,x) + a(x) for x ∈ X , where a is an additive function. In the present paper, we continue and ...

using the hyers-ulam-rassias stability method, weinvestigate isomorphisms in banach algebras and derivations onbanach algebras associated with the following generalized additivefunctional inequalitybegin{eqnarray}|af(x)+bf(y)+cf(z)|  le  |f(alpha x+ beta y+gamma z)| .end{eqnarray}moreover, we prove the hyers-ulam-rassias stability of homomorphismsin banach algebras and of derivations on banach ...