References
- Choquet, G. (1969). Lectures on Analysis, Vol. 2, W.A. Benjamin, New York.
- Dubinskii, J. A. (1975). Sobolev spaces of infinite order and behavior of solution of some boundary value problems with unbounded increase of the order of the equation, Matiematiczeskii Sbornik 98: 163-184, (in Russian).
- Dubinskii, J. A. (1976). Non-trivality of Sobolev spaces of infinite order for a full Euclidean space and a torus, Matiematiczeskii Sbornik 100: 436-446, (in Russian).
- Dubinskii, J. A. (1981). About one method for solving partial differential equations, Doklady Akademii Nauk SSSR 258: 780-784, (in Russian).
- Dunford, N. and Schwartz, J. (1958). Linear Operators, Vol. 1, John Wiley and Sons, New York.
- El-Saify, H. A. (2005). Optimal control of n x n parabolic lag system involving time lag, IMA Journal of Mathematical Control and Information 22(3): 240-250.
- El-Saify, H. A. (2006). Optimal boundary control problem for n x n infinite order parabolic lag system, IMA Journal of Mathematical Control and Information 23(4): 433-445.
- Knowles, G. (1978). Time optimal control of parabolic systems with boundary conditions involving time delays, Journal of Optimization Theory and Applications 25(4): 563-574.
- Kowalewski, A. (1988). Boundary control of distributed parabolic system with boundary condition involving a time-varying lag, International Journal of Control 48(6): 2233-2248.
- Kowalewski, A. (1990a). Feedback control for a distributed parabolic system with boundary condition involving a timevarying lag, IMA Journal of Mathematical Control and Information 7(2): 143-157.
- Kowalewski, A. (1990b). Optimal control of distributed parabolic systems involving time lags, IMA Journal of Mathematical Control and Information 7(4): 375-393.
- Kowalewski, A. (1993). Optimal control of parabolic systems with time-varying lags, IMA Journal of Mathematical Control and Information 10(2): 113-129.
- Kowalewski, A. (1998). Optimal control of distributed parabolic systems with multiple time-varying lags, International Journal of Control 69(3): 361-381.
- Kowalewski, A. (1999). Optimization of parabolic systems with deviating arguments, International Journal of Control 72(11): 947-959.
- Kowalewski, A. (2001). Optimal Control of Infinite Dimensional Distributed Parameter Systems with Delays, University of Mining and Metallurgy Press, Cracow.
- Kowalewski, A. and Duda, J. (1992). On some optimal control problem for a parabolic system with boundary condition involving a time-varying lag, IMA Journal of Mathematical Control and Information 9(2): 131-146.
- Kowalewski, A. and Krakowiak, A. (1994). Time-optimal control of parabolic time lag system, AppliedMathematics and Computer Science 4(1): 19-28.
- Kowalewski, A. and Krakowiak, A. (2000). Time-optimal control of parabolic system with time lags given in the integral form, IMA Journal of Mathematical Control and Information 17(3): 209-225.
- Kowalewski, A. and Krakowiak, A. (2006). Time-optimal boundary control of a parabolic system with time lags given in the integral form, International Journal of Applied Mathematics and Computer Science 16(3): 287-295.
- Lions, J. (1971). Optimal Control of Systems Governed by Partial Differential Equations, Springer-Verlag, Berlin-Heidelberg.
- Lions, J. and Magenes, E. (1972). Non-Homogeneous Boundary Value Problems and Applications, Vols. 1 and 2, Springer-Verlag, Berlin-Heidelberg.
- Wang, P. K. C. (1975). Optimal control of parabolic systems with boundary conditions involving time delays, SIAM Journal on Control 13(2): 274-293.