Asymptotic behavior of periodic, periodic biharmonic and periodic harmonic functions

Asymptotic Behavior for Asymptotically Periodic

The properties of ω-limit set and global asymptotic behavior are first obtained for asymptotically autonomous discrete dynamical processes on metric spaces.Then certain equivalence of the asymptotic behavior between an asymptotically periodic semiflows and its associated asymptotically autonomous discrete dynamical process is proved. As some applications, the global behavior of asymptotically p...

Asymptotic Behavior of a Periodic Diffusion System

Periodic Lyapunov functions for periodic TS systems

In this paper we consider stability analysis and controller design for periodic Takagi-Sugeno fuzzy models. To develop the conditions, we use a switching nonquadratic Lyapunov function defined at the time instants when the subsystems switch. Using the proposed conditions we are able to handle periodic Takagi-Sugeno systems where the local models or even the subsystems are unstable or cannot be ...

Periodic Functions

then X*, is said to be optimal. A typical choice for Y{ is the image of a unit ball of some normed linear space Y (which may be different from X) under a compact linear mapping K of Y into X. Thus, Y{= {Ky: ]]y][v =< 1}. When X = Y is a Hilbert space, then it is possible to obtain an expression for d,(Y{'; X) and identify optimal subspaces. These facts originated with the example given by Kolmo...

Finite-Difference Time-Domain Simulation of Light Propagation in 2D Periodic and Quasi-Periodic Photonic Structures

Ultra-short pulse is a promising technology for achieving ultra-high data rate transmission which is required to follow the increased demand of data transport over an optical communication system. Therefore, the propagation of such type of pulses and the effects that it may suffer during its transmission through an optical waveguide has received a great deal of attention in the recent years. We...