Asymptotic Behavior of Nonlinear Difference Systems

Asymptotic Behavior of Solutions of Nonlinear Difference Equations

The nonlinear difference equation (E) xn+1 − xn = anφn(xσ(n)) + bn, where (an), (bn) are real sequences, φn : −→ , (σ(n)) is a sequence of integers and lim n−→∞ σ(n) =∞, is investigated. Sufficient conditions for the existence of solutions of this equation asymptotically equivalent to the solutions of the equation yn+1 − yn = bn are given. Sufficient conditions under which for every real consta...

Asymptotic behavior of nonlinear networked control systems

– The deÞning characteristic of a networked control system (NCS) is having a feedback loop that passes through a local area computer network. Our two-step design approach includes using standard control methodologies and choosing the network protocol and bandwidth in order to ensure important closed-loop properties are preserved when a computer network is inserted into the feedback loop. For su...

Asymptotic Behavior of Solutions of a Class of Nonlinear Difference Systems

In this paper we study the asymptotic behavior of the two-dimensional nonlinear difference system { ∆x(n) = f(n, x(n), y(n)) ∆y(n) = g(n, y(n), x(n)), and necessary as well as sufficient conditions are established. AMS Subject Classifications: 39A10, 34A97.

Asymptotic Behavior of Multivariate Reward Processes with Nonlinear Reward Functions

BEHAVIOR OF SOLUTIONS TO A FUZZY NONLINEAR DIFFERENCE EQUATION

In this paper, we study the existence, asymptotic behavior of the positive solutions of a fuzzy nonlinear difference equation$$ x_{n+1}=frac{Ax_n+x_{n-1}}{B+x_{n-1}}, n=0,1,cdots,$$ where $(x_n)$ is a sequence of positive fuzzy number, $A, B$ are positive fuzzy numbers and the initial conditions $x_{-1}, x_0$ are positive fuzzy numbers.