Optimal Control of Partial Differential Equations
Optimal Control of Partial Differential Equations Optimal Control of Partial Differential Equations
120 BIBLIOGRAPHY [16] I. Lasiecka, R. Triggiani, Control Theory for Partial Differential Equations, Vol. 1, Cambridge University Press, 2000. [17] I. Lasiecka, R. Triggiani, Control Theory for Partial Differential Equations, Vol. 2, Cambridge University Press, 2000. [18] A. Pazy, Semigroups of linear operators and applications to partial differential equations, Springer-Verlag, 1983. [19] R. F. Curtain, H. J. Zwart, An Introduction to Infinite-Dimensional Linear Systems theory, Springer-Verlag, 1995. [20] J. Zabczyk, Mathematical Control Theory: An Introduction, Birkhäuser, 1992. [21] P. Neittaanmaki, D. Tiba, Optimal control of nonlinear parabolic systems, Marcel Dekker, 1994. Specific References for Chapter 1. [22] T. S. Angell and R. E. Kleinman, Optimal control in radiation and scattering, Symposium on Applied Mathematics, A. J. Hermans and M. W. C. Oosterveld Eds;, Sijthoff Int. Publishers, 1978. [23] H. T. Banks, Control and estimation in distributed parameter systems, SIAM, Philadelphia, 1992. [24] J. -P. Kernevez, The sentinel method and its application to environmental pollution problems, CRC Press, 1997. [25] O. Morgul, Dynamic boundary control of the Timoshenko beam, Automatica, Vol. 28 (1992), 1255-1260. [26] J. P. Raymond, Optimal control of infinite dimensional systems and Riccati equations. (Ficus course, lecture notes in preparation). [27] J. P. Raymond, Control and stabilization of fluid flows, in preparation. [28] D. L. Russel, On mathematical models for the elastic beam with frequency-proportional damping, in [23]. [29] N. G. Zamani, J. M. Chunang, Optimal control of current in a cathodic protection system: A numerical investigation, Opt. Cont. Appl. Meth., Vol. 8 (1987), 339-350. Specific References for Chapter 3. [30] G. M. Troianello, Elliptic differential equations and obstacle problems, Plenum, New York, 1987. Specific References for Chapter 8. [31] C. Z. Xu, B. Chentouf, G. Sallet, On the stability of a symmetric hyperbolic linear system with non-smooth coefficients, 37th IEEE CDC, Tampa, Florida, December 1998, p. 4543-4544. Specific References for Chapter 10.
BIBLIOGRAPHY 121 [32] D. B. Bertsekas, Projected Newton methods for optimization problems with simple constraints, SIAM J. Control Optim., Vol. 20 (1982), 221-246. [33] W. Alt, The Lagrange-Newton method for infinite-dimensional optimization problems, Numer. Funct. Anal. and Optim., Vol. 11 (1990), 201-224. [34] P. E. Gill, W. Murray, M. H. Wright, Practical optimization, Academic Press, 1981. [35] J. E. Dennis, J. R. Schnabel, Numerical methods for unconstrained optimization and nonlinear equations, Prentice-Hall, 1983.
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120 BIBLIOGRAPHY<br />
[16] I. Lasiecka, R. Triggiani, <strong>Control</strong> Theory for <strong>Partial</strong> <strong>Differential</strong> <strong>Equations</strong>, Vol. 1, Cambridge<br />
University Press, 2000.<br />
[17] I. Lasiecka, R. Triggiani, <strong>Control</strong> Theory for <strong>Partial</strong> <strong>Differential</strong> <strong>Equations</strong>, Vol. 2, Cambridge<br />
University Press, 2000.<br />
[18] A. Pazy, Semigroups <strong>of</strong> linear operators and applications to partial differential equations,<br />
Springer-Verlag, 1983.<br />
[19] R. F. Curtain, H. J. Zwart, An Introduction to Infinite-Dimensional Linear Systems<br />
theory, Springer-Verlag, 1995.<br />
[20] J. Zabczyk, Mathematical <strong>Control</strong> Theory: An Introduction, Birkhäuser, 1992.<br />
[21] P. Neittaanmaki, D. Tiba, <strong>Optimal</strong> control <strong>of</strong> nonlinear parabolic systems, Marcel Dekker,<br />
1994.<br />
Specific References for Chapter 1.<br />
[22] T. S. Angell and R. E. Kleinman, <strong>Optimal</strong> control in radiation and scattering, Symposium<br />
on Applied Mathematics, A. J. Hermans and M. W. C. Oosterveld Eds;, Sijth<strong>of</strong>f Int.<br />
Publishers, 1978.<br />
[23] H. T. Banks, <strong>Control</strong> and estimation in distributed parameter systems, SIAM, Philadelphia,<br />
1992.<br />
[24] J. -P. Kernevez, The sentinel method and its application to environmental pollution<br />
problems, CRC Press, 1997.<br />
[25] O. Morgul, Dynamic boundary control <strong>of</strong> the Timoshenko beam, Automatica, Vol. 28<br />
(1992), 1255-1260.<br />
[26] J. P. Raymond, <strong>Optimal</strong> control <strong>of</strong> infinite dimensional systems and Riccati equations.<br />
(Ficus course, lecture notes in preparation).<br />
[27] J. P. Raymond, <strong>Control</strong> and stabilization <strong>of</strong> fluid flows, in preparation.<br />
[28] D. L. Russel, On mathematical models for the elastic beam with frequency-proportional<br />
damping, in [23].<br />
[29] N. G. Zamani, J. M. Chunang, <strong>Optimal</strong> control <strong>of</strong> current in a cathodic protection system:<br />
A numerical investigation, Opt. Cont. Appl. Meth., Vol. 8 (1987), 339-350.<br />
Specific References for Chapter 3.<br />
[30] G. M. Troianello, Elliptic differential equations and obstacle problems, Plenum, New<br />
York, 1987.<br />
Specific References for Chapter 8.<br />
[31] C. Z. Xu, B. Chentouf, G. Sallet, On the stability <strong>of</strong> a symmetric hyperbolic linear<br />
system with non-smooth coefficients, 37th IEEE CDC, Tampa, Florida, December 1998,<br />
p. 4543-4544.<br />
Specific References for Chapter 10.
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