An Output Stabilization Problem of Distributed Linear Systems Approaches and Simulations

Show more

References

[1] W. M. Wonham, “Linear Multivariable Control: A Geometric Approach,” Springer-Verlag, Berlin, 1974.

[2] A. V. Balakrishnan, “Strong Stabilizabity and the Steady State Riccati Equation,” Applied Mathematics and Optimization, Vol. 7, No. 1, 1981, pp. 335-345.
doi:10.1007/BF01442125

[3] R. F. Curtain and H. J. Zwart, “An Introduction to Infinite Dimensional Linear Systems Theory,” SpringerVerlag, Berlin, 1995.

[4] A. J. Pritchard and J. Zabczyk, “Stability and Stabilizability of Infinite Dimensional Systems,” SIAM Review, Vol. 23, No.1, 1981, pp. 25-51. doi:10.1137/1023003

[5] T. Kato, “Perturbation Theory for Linear Operators,” Springer-Verlag, Berlin, 1980.

[6] R. Triggiani, “On the Stabilizability Problem in Banach Space,” Journal of Mathematical Analysis and Applications, Vol. 52, No. 3, 1979, pp. 383-403.
doi:10.1016/0022-247X(75)90067-0

[7] R. F. Curtain, and A. J. Pritchard, “Infinite Dimensional Linear Systems Theory,” Springer-Verlag, Berlin, 1978.

[8] H. T. Banks and K. Kunisch, “The Linear Regulator Problem for Parabolic Systems,” SIAM Journal on Control and Optimization, No. 22, Vol. 5, 1984, pp. 684-696.
doi:10.1137/0322043

[9] N. J, Higham, “The Scaling and Squaring Method for the Matrix Exponential,” SIAM Journal on Matrix Analysis and Applications, Vol. 26, No. 4, 2005, pp. 1179-1193.
doi:10.1137/04061101X

[10] A. J. Laub, “A Schur Method for Solving Algebraic Riccati Equations,” IEEE Transactions on Automatic Control, Vol. 24, No. 6, 1979, pp. 913-921.
doi:10.1109/TAC.1979.1102178

[11] W. F Arnold and A. J. Laub, “Generalized Eigenproblem Algorithms and Soft-Ware for Algebraic Riccati Equations,” Proceedings of the IEEE, Vol. 72, No. 12, 1984, pp. 1746-1754. doi:10.1109/PROC.1984.13083