Special Periodic Even Functions

Even periodic and odd periodic complementary sequence pairs from generalized Boolean functions

A pair of two sequences is called the even periodic (odd periodic) complementary sequence pair if the sum of their even periodic (odd periodic) correlation function is a delta function. The wellknown Golay aperiodic complementary sequence pair (Golay pair) is a special case of even periodic (odd periodic) complementary sequence pair. In this paper, we presented several classes of even periodic ...

Periodic Solutions of Spatially Periodic, Even Hamiltonian Systems

Periodic solutions of even Hamiltonian systems onthe

We consider the Hamiltonian system (HS) ?J _ z = H z (t; z) where H 2 C 2 (R R 2N ; R) is 2-periodic in all variables, so (HS) induces a Hamiltonian system on the torus T 2N. In addition we assume that H is even in the z-variable. This implies the existence of 2 2N trivial stationary solutions of (HS). We are interested in the existence of nontrivial periodic solutions. Observe that the Arnol'd...

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...

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 ...