Download Differential Equations and Control Theory: Proceedings of by Z. Deng, Z. Liang, G. Lu, S. Ruan PDF

By Z. Deng, Z. Liang, G. Lu, S. Ruan

This paintings offers the complaints from the overseas convention on Differential Equations and keep an eye on conception, held lately in Wuhan, China. It presents an summary of present advancements in more than a few issues together with dynamical structures, optimum keep watch over idea, stochastic keep watch over, chaos, fractals, wavelets and traditional, partial, practical and stochastic differential equations.

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Motreanu University of Ia§i, Ia§i, Romania Nicolae H. Pavel Ohio University, Athens, Ohio Abstract The paper provides necessary conditions for the optimality of a pair (y,u~) with respect to a locally Lipschitz cost functional L(y,u~), subject to Ay = Cu + B(y, u). Here A and C are closed range, densely defined linear operators on some Banach spaces Y and X, while B is a (Gateaux) differentiable map on Y X X. This extends the result in [1], where the case B(y,u~) = B(u) — F(y), with B and F Frechet differentiable, was studied.

Acknowledgments: The work of S. Reich was partially supported by the Fund for the Promotion of Research at the Technion and by the Technion VPR Fund - E. and M. Mendelson Research Fund. S. T. A. Pinter, On a nonlinear beam equation, Applied Mathematics Letters, to appear. [2] H. T. Banks, D. S. Gilliam, and V. I. Shubov, Well-posedness for a one dimensional nonlinear beam, in Computation and Control, IV (Bozeman, MT, 1994), Progr. Systems Control Theory, vol. 20, (Birkhauser, 1995), pp. 1-21. [3] H.

Lions, Optimal Control of Systems Governed by Partial Differential Equations (Springer, 1971). [14] J. L. Lions and E. Magenes, Non-Homogeneous Boundary Value Problems and Applications (Springer, 1972). Copyright 2002 by Marcel Dekker, Inc. All Rights Reserved. [15] M. M. Polycarpou and A. J. Helmicki, Automated fault detection and accomodatwn: A learning systems approach, IEEE Trans. on Systems, Man and Cybernetics, 25 (1995), 1447-1458. [16] J. Wloka, Partial Differential Equations (Cambridge University Press, 1987).

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