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S.G.Santhi, Assistant professor, Department of Computer Science and Engineering, Annamalai University [email protected] Dr.K.Venkatachalapathy Professor, Department of Computer Science and Engineering, Annamalai University Abstract In this paper, we propose a method to save energy consumption for the rejoin procedure for Cluster Tree in 802.15.4 Sensor Networks .An improved node rejoin procedure...

An aspect of uncertainty principle in real classical analysis asserts that a function f and its Fourier transform ̂ f cannot decrease simultaneously very rapidly at infinity. As illustrations of this, one has Hardy’s theorem [1], Morgan’s theorem [2], and BeurlingHörmander’s theorem [3–5]. These theorems have been generalized to many other situations; see, for example, [6–10]. In 1983, Cowling a...

The cheap LQ regulator is reinterpreted as an output nulling problem which is a basic problem of the geometric control theory. In fact, solving the LQ regulator problem is equivalent to keep the output of the related Hamiltonian system identically zero. The solution lies on a controlled invariant subspace whose dimension is characterized in terms of the minimal conditioned invariant of the orig...

The paper is concerned with simultaneous linear-quadratic (LQ) optimal control design for a set of LTI systems via piecewise constant output feedback. First, the discrete-time simultaneous LQ optimal control design problem is reduced to solving a set of coupled matrix inequalities and an iterative LMI algorithm is presented to compute the feedback gain. Then, simultaneous stabilization and simu...

An open-loop two-person zero-sum linear quadratic (LQ for short) stochastic differential game is considered. The controls for both players are allowed to appear in both the drift and diffusion of the state equation, the weighting matrices in the payoff/cost functional are not assumed to be definite/nonsingular, and the cross-terms between two controls are allowed to appear. A forward-backward s...

We construct the C∗-algebra C(Lq(p;m1, . . . ,mn)) of continuous functions on the quantum lens space as the fixed point algebra for a suitable action of Zp on the algebra C(S2n−1 q ), corresponding to the quantum odd dimensional sphere. We show that C(Lq(p;m1, . . . ,mn)) is isomorphic to the graph algebra C∗ ( L (p;m1,...,mn) 2n−1 ) . This allows us to determine the ideal structure and, at lea...

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The Standard Model is extended by a SU(2) L singlet of vector leptoquarks. An additional SU(4) gauge symmetry between right–handed up quarks and right– handed leptons is introduced to render the model renormalizable. The arrangement is made in such a way that no conflict with low energy restrictions is encountered. The SU(2) L singlet mediates interactions between the right–handed leptons and u...