PUBLICATIONS


[1] Y. You et al, Applications of linear programming to automatical optical designs, Acta Appl. Math. Sinica, 5 (1982), 78-84.

[2] Y. You, On some problems relating to the optimal control of linear systems with quadratic indefinite criteria in Hilbert spaces, Proceedings "Recent Development in Control Theory and Applications", Science Press, Beijing, (1982), 675-686.

[3] Y. You, On the generators of solution semigroups of linear retarded evolution equations in M2 spaces, Fudan Journal (Natural Sci.), 21 (1982), 163-173.

[4] Y. Yao and Y. You, Linear quadratic unbounded optimal control on infinite horizon, Fudan Journal (Natural Sci.), 21 (1982), 403-415.

[5] Y. You, The unbounded quadratic optimal control for second-order linear systems, Fudan Journal (Natural Sci.), 22 (1983), 451-457.

[6] Y. You, On stabilization of a class of linear retarded control systems, Acta Applied Sciences, 3 (1983), 203-210.

[7] Y. You, The retarded control problems of distributed parameter systems, Acta Appl. Math. Sinica, 6 (1983), 347-356.

[8] Y. You, Indefinite quadratic-cost optimal control for distributed parameter systems with unbounded control operator, in "Control of Distributed Parameter Systems", edit. by J. Babary and L.Letty, Pergamon, London, (1983), 619-625.

[9] Y. You, Optimal control for linear systems with a quadratic indefinite criterion in Hil-bert spaces, Chin. Ann. Math., Ser. B, 4 (1983), 21-32.

[10] Y. Yao and Y. You, Some theorems on the unbounded control of distributed parame-ter systems, J. Mathematical Research & Exposition, 4 (1984), 87-92.

[11] Y. You, On the solution of a class of operator Riccati equations, Chin. Ann. Math., Ser. A, 5 (1984), 219-227.

[12] Y. You, The closed-loop optimal solution to a quadratic boundary control problem of hyperbolic systems, Acta Appl. Sciences, 3 (1985), 108-113.

[13] Y. You, Closed-loop syntheses for quadratic differential games of distributed sys-tems, Chin. Ann. Math., Ser. B, 6 (1985), 325-334.

[14] Y. You, The extension and escape in positive direction of solutions of Riccati equa-tions, Chin. Ann. Math., Ser. A, 6 (1985), 697-705.

[15] Y. You, The closed-loop optimal solution to a quadratic boundary control problem of parabolic systems, Acta Math. Sinica, 28 (1985), 809-816.

[16] Y. You, The closed-loop solution to a class of differential games, Acta Math Sciences, 5 (1985), 251-260.

[17] Y. Yao and Y. You, The closed-loop optimal solution for some parabolic systems with pointwise control (n = 2, 3), Acta Appl. Sciences, 3 (1985), 223-232.

[18] Y. You, A nonlinear integral equation and an optimal state feesback, Acta Math. Sinica, 29 (1986), 837-846.

[19] Y. You, Optimal control problems with hybrid quadratic criteria, Chin. Ann. Math., Ser. B, 7 (1986), 452-462.

[20] Y. You, The direct expressions of solutions of Riccati differential equations, Acta Appl. Math. Sinica, 9 (1986), 201-209.

[21] Y. You, A nonquadratic Bolza problem and a quasi-Riccati equation for distributed parameter systems, SIAM J. Control and Optimization, 25 (1987), 904-920.

[22] Y. You, Nonquadratic optimal regulators and solutions of quasi-Riccati equations, Scientia Sinica, Ser. A, 30 (1987), 249-261.

[23] Y. You, Infinite dimensional tracking optimal control via dynamical output feedback, Chin. Ann. Math., Ser. B, 8 (1987), 440--448.

[24] E. B. Lee and Y. You, Stabilization of a hybrid (string/point-mass) system, Proceed-ings of the Fifth International Conference on Systems Engineering, (1987), 109--112.

[25] E. B. Lee and Y. You, An infinite dimensional quadratic theory for linear delay sys-tems, IEEE Decision and Control, Vol. 26 (1987), 546--551.

[26] E. B. Lee and Y. You, Optimal control of bivariate linear Volterra integral type sys-tems, IEEE Decision and Control, Vol. 26 (1987), 721--726.

[27] Y. You, Time-variant nonquadratic optimal regulators, IEEE Decision and Control, Vol. 26 (1987), 736--741.

[28] D. Boley and Y. You, Linear optimal control via output feedback, IEEE Decision and Control, Vol. 26 (1987), 945--950.

[29] E. B. Lee and Y. You, Optimal control of two-dimensional linear systems, IEEE Decision and Control, Vol. 26 (1987),1572--1576.

[30] Y. You, Dynamical boundary control of two-dimensional Petrovsky systems: vibrat-ing rectangular plate, in "Analysis and Optimization of Systems", edit. by A. Benssousan and J.L. Lions, Springer, New York, (1988), 519-530.

[31] Y. You and E. B. Lee, Controllability and stabilization of two-dimensional elastic vib-ration with dynamical boundary control, in "Control of Partial Differential Equations", edit. by A. Bermudez, Springer, New York, (1989), 297-308.

[32] Y. You and E. B. Lee, Dynamical boundary control of two-dimensional wave equa-tions: vibrating membranes on a general domain, IEEE Trans. Automatical Control, 34 (1989), 1181-1185.

[33] Y. You, Stabilization, optimal control, and inertial manifolds of infinite dimensional systems, Ph.D. Dissertation, University of Minnesota, Minneapolis, 1988.

[34] Y. You, The Linear optimal control of output feedback, Chin. Ann. Math., Ser. A, 9 (1988), 380-389.

[35] Y. You and E. B. Lee, Dynamical boundary control of two-dimensional wave equa-tions: vibrating membrane on general domaon, Proceedings of Amererican Conference on Control, (1988), Atlanta, 2312-2317.

[36] Y. You, Controllability and stabilizability of vibrating simply supported plates with pointwise control, Advances in Appl. Math., 10 (1989), 324-343.

[37] E. B. Lee and Y. You, Optimal syntheses for infinite dimensional linear delayed state-output systems: a semicausality approach, Appl. Math. and Optimization, 19 (1989), 113-136.

[38] Y. You and E. B. Lee, Stabilization of a vibrating string system linked by point mass-es, in "Control of Boundaries and Stabilization". edit. by J. Simon, Springer, Berlin, (1989), 177-198.

[39] Y. You, Pointwise boundary stabilization: two-dimensional hybrid elastic systems, Proceedings of the 28th IEEE/SIAM Conference on Decision and Control, (1989), Tampa.

[40] Y. You, Quadratic differential games of general linear delay systems, J. Math. Pures et Appl., 69 (1990), 261-283.

[41] Y. You, Nonlinear exponential stabilizatgion of Boussinesq equations, in "Analysis and Optimization of Systems", edit. A. Bensoussan and J. L. Lions, Springer, New York, (1990), 642-651.

[42] Y. You, Energy decay and exact controllability for the Petrovsky equations in a boun-ded domain, Advances Appl. Math., 11 (1990), 372-388.

[43] E. B. Lee and Y. You, Quadratic optimization for infinite dimensional linear differen-tial difference type systems: syntheses via the Fredholm equations, SIAM J. Control & Optimization, 28 (1990), 265-293.

[44] Y. You, Pointwise stabilizability of coupled elastic beam systems, Numerical Func. Anal. & Optimization, 11 (1990), 379-402.

[45] Y. You, Nonlinear optimal control and synthesis of thermal nuclear reactors, in "Dis-tributed Parameter Control Systems: New Trends and Applications", edit. by G. Chen, E. B. Lee, W. Littman, and L. Markus, Marcel Dekker, New York, (1991), 445-474.

[46] Y. You, Boundary stabilization of two-dimensional Petrovsky equation: vibrating plates, Differential and Integral Equations, 4 (1991), 617-638.

[47] R. Datko and Y. You, Some second-order vibrating systems cannot tolerate small time delays in their damping, J. Optimization Theory & Applications, 70 (1991), 519-535.

[48] G. R. Sell and Y. You, Inertial manifolds: the non-self adjoint case, J. Differential Equations, 96 (1992), 203- 255.

[49] M.Taboada and Y.You, Some stability results for perturbed semilinear parabolic equa-tions, Differential and Integral Equations, 5 (1992), 393-403.

[50] Y. You, Pointwise boundary stabilizability of hyperbolic evolution equations: two-dimensional hybrid elastic structures, J. Math. Anal. & Appl., 165 (1992), 239-265.

[51] Y. You, Inertial manifolds and stabilization of nonlinear elastic systems with structural damping, in "Differential Equations with Applications to Mathematical Physics", edit. by W. Ames, E. Harrell, and J. Herod, Academic Press, Boston, (1993), 335-346.

[52] Y. You, Spillover problem and global dynamics of nonlinear beam equations, in "Differential Equations, Dynamical Systems, and Control Science", edit. K. Elworthy, W. Everitt, and E. B. Lee, Marcel Dekker, New York, (1994), 891-912.

[53] Y. You, A global existence theorem on nonlinear evolution equations, in Proceedings of the First World Congress of Nonlinear Analysis, edited by V. Lakshmikantham, Walter de Gruyter, Berlin, (1996), 2239-2248.

[54] W. Fitzgibbon, M. Parrott, Y. You, Global dynamics of singularly perturbed Hodg-kin-Huxley equations, in "Semigroups of Linear and Nonlinear Operations & Applica-tions", edit. by G. Goldstein and J. Goldstein, Kluwer, Dordrecht, (1993), 159-176.

[55] L. Markus and Y.You, Dynamical boundary control for elastic plates of general shape, SIAM J. Control & Optimization, 31 (1993), 983-992.

[56] Y. You and M. Taboada, Global dynamics and control of a comprehensive nonlinear beam equation, in "Qualitative Aspects and Applications of Nonlinear Evolution Equati-ons", edit. by H. Beirao da Veiga and T.T. Li, World Scientific, Singapore, (1994), 109-122.

[57] W. Fitzgibbon, M. Parrott, and Y. You, Global dynamics of coupled systems model- ing nonplanar beam motion, in "Evolution Equations", edit. by G. Ferreyra, G. Goldstein, and F. Neubrander, (1994), 187-199.

[58] M. Taboada and Y. You, Invariant manifold for retarded semilinear wave equations, J. Differential Equations, 114 (1994), 337-369.

[59] Y. You, Approximate inertial manifolds for nonlinear parabolic equations via steady- state determining mappings, International J. Math. & Math. Sci., 18 (1995), 1-24.

[60] Y. You, Inertial manifolds and finite dimensional exponential stabilization of nonlinear beam equations, Proceedings of the 34th IEEE/SIAM Confefence on Decision and Control, New Orleans, 1995, 3231-3236.

[61] A. J. Pritchard and Y. You, Causal feedback optimal control of Volterra integral equations, SIAM J. Control & Optimization, 34 (1996), 1874-1890.

[62] Y. You, The optimal control of Ginzburg-Landau equations for superconductivity via differential inclusions, Discussions Mathematicae: Differential Inclusions, 16 (1996), 5-41.

[63] Y.You, Nonlinear wave equations with asymptotically monotone damping, in "Theory and Applications of Nonlinear Operators of Accretive and Monotone Type", edit. by A. G. Kartsatos, Marcel Dekker, New York, 1996, 299-311.

[64] W. Fitzgibbon, M. Parrott, and Y. You, Finite dimensionality and upper semiconti-nuity of the global attractor of singularly perturbed Hodgkin-Huxley equations, J. Differen-tial Equations, 129 (1996), 193-237.

[65] Y. You, Global dynamics of dissipative generalized KdV equations, Chin. Ann. Math., Ser. B, 17 (1996), 389 - 402.

[66] Y. You, Inertial manifolds and stabilization of nonlinear beam equations with Balak-rishnan - Taylor damping, Abstract and Applied Analysis, 1 (1996), 87-108.

[67] Y. You, Pseudo-Riccati operator equations and feedback optimal control of semilinear systems, Proceedings of the 35th Conference on Decision and Control, Kobe, Japan, 1996, 2841-2845.

[68] Y. You, Nonlinear wave equations with weak dissipation, in "Nonlinear Evolution Equations and Infinite Dimensional Dynamical Systems", edit. T. T. Li, World Scientific, Singapore, 1997, 249-258.

[69] Y. You, Global dynamics of 2D Boussinesq equations, Nonlinear Analysis, 30 (1997), 4643-4654 .

[70] Y. You, Synthesis of time-variant optimal control with nonquadratic criteria, J. Math. Anal. Appl., 209 (1997), 662--682.

[71] Y. You, Global dynamics of nonlinear hyperbolic equations with non-monotone damping, in "Differential Equations", Vol.1, edit. B. Fiedler, K. Groger, and J. Sprekels, World Scientific, Singapore, 2000, 357--359.

[72] Y. You, Causal synthesis of integral quadratic games, Trans. Amer. Math. Soc., 352 (2000), 2737--2764.

[73] Y. You, Synthesis solution to nonquadratic differential games in Hilbert spaces, Proceedings of the 14th International Symposium on Mathematical Theory of Networks and Systems, Perpignan, France, 2000, CD-ROM.

[74] Y. You, Optimal control and synthesis of nonlinear infinite dimensional systems, Chapter 15, in "Control of Nonlinear Distributed Parameter Systems", edit. G. Chen, I. Lasiecka, and J. Zhou, Marcel Dekker, New York, 2001, 299--336.

[75] Y. You, Global attractors of large space structures with nonuniform attracting rates, Proceedings of the International Conference on Nonlinear Problems in Aviation and Aerospace, Vol. 2, European Conference Publishers, London, 2001, 759--768.

[76] Y. You, Syntheses of differential games and pseudo-Riccati equations, Abstract and Applied Analysis, 7 (2002), 61--83.

[77] Y. You, Global dynamics of nonlinear wave equations with cubic non-monotone damping, Dynamics of Partial Differential Equations, 1 (2004), 65--86.

[78] Y. You, Spectral barriers and inertial manifolds of dissipative evolutionary equations under time discretizations, Computers and Mathematics with Applications, 48 (2004), 1351--1368.

[79] W. Ma and Y. You, Rational solutions of the Toda lattice equation in Casoratian form, Chaos, Solitons & Fractals, 22 (2004), 395--406.

[80] W. Ma and Y. You, Solving the Korteweg-de Vries equations by its bilinear form: Wronskian solutions, Trans. Amer. Math. Soc., 357 (2005), 1753--1778.

[81] Y. You, Multiple-spike ground state solutions of the Gierer-Meinhardt equations for biological activator-inhibitor systems, Dynamics of Partial Differential Equations, Vol. 2, No. 3, (2005), 187--260.

[82] Y. You, Finite dimensional reduction of global dynamics and lattice dynamics of a damped nonlinear wave equation, "Control Theory and Related Topics", edit. S. Tang and J. Yong, World Scientific, 2007, 367--386.

[83] Y. You, Global dynamics of the Brusselator equations, Dynamics of PDE, Vol. 4, No. 2, (2007), 167--196.

[84] Y. You, Inertial manifolds for nonautonomous skew product semiflows, Far East Journal of Applied Mathematics, 32 (2008), No. 2, 141-188.

[85] Y. You, Global attractor of Gray-Scott equations, Comm. Pure Appl. Anal., Vol. 7, No. 4, (2008), 947--970.

[86] Y. You, Sharp asymptotic estimates for vorticity solutions of the 2D Navier-Stokes equation, Electronic JDE, Vol. 2008 (2008), No. 163, 1--25.

[87] Y. You, Asymptotical dynamics of Selkov equations, Discrete and Continuous Dynamical Systems, Series S, Vol. 2, No. 1, 2009.

[88] R.K. Samala, W. Moreno, Y. You, and W. Qian, A novel approach to nodule feature optimization on thin section thoracic CT, Academic Radiology, accepted 2008.