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On bounded solutions of second order systems

Herzog G.

Demonstratio Mathematica

2006

Vol. 39, nr 4

793-801

We prove existence and uniqueness of bounded solutions of u"+f(t, u) = 0, u(0) = x on [0,infinity) under quasimonotonicity and one-sided Lipschitz conditions on f.

Second-order linear state space systems: computeing the transfer funcion using the DFT

Antoniou G. E.

Archives of Control Sciences

2004

Vol. 14, no. 1

5-13

In this paper the discrete Fournier transform (DFT) is used for determining the transfer function coefficients for second-order linear systems (...). The proposed algorithm is theoretically attractive, practically fast and has been implemeted in Matlab. Two step-by-step examples illustrating the application of the algorithm are given.