Previous |  Up |  Next

Article

References:
[1] P. Hr. Petkov N. D. Christov, M. M. Konstantinov: Computational Methods for Linear Control Systems. Prentice Hall, New York 1991.
[2] R. Byers: Numerical condition of the algebraic Riccati equation. Contemporary Math. 47 (1985), 35-49. MR 0828291 | Zbl 0579.65037
[3] M. M. Konstantinov P. Hr. Petkov, N. D. Christov: Perturbation analysis of the continuous and discrete matrix Riccati equations. Proc. 1986 ACC, Seattle, vol. 1, 636-639.
[4] M. M. Konstantinov N. D. Christov, P. Hr. Petkov: Perturbation analysis of linear control problems. Prepr. IFAC 10th World Congress, Munich 1987, vol. 9, pp. 16-21, Pergamon Press, Oxford 1987.
[5] C. Kenney, G. Hewer: The sensitivity of the algebraic and differential Riccati equations. SIAM J. Control Optim. 28 (1990), 50-69. MR 1035972 | Zbl 0695.65025
[6] P. Gahinet, A. Laub: Computable bounds for the sensitivity of the algebraic Riccati equation. SIAM J. Control Optim. 2MR 1075213 | Zbl 0728.93022
[7] M. M. Konstantinov P. Hr. Petkov, N. D. Christov: Perturbation analysis of matrix quadratic equations. SIAM J. Sci. Stat. Comput. 11 (1990), 1159-1163. MR 1068502
[8] E. A. Grebenikov, Yu. A. Ryabov: Constructive Methods for Analysis of Non-Linear Systems. (in Russian). Nauka, Moscow 1979. MR 0571543
[9] P. Gahinet A. Laub, Ch. Kenney, G. Hewer: Sensitivity of the stable discrete-time Lyapunov equation. IEEE Trans. Automat. Control 35 (1990), 1209-1217. MR 1074888
[10] A. P. Sage, C. C. White: Optimum Systems Control. Prentice Hall, Englewood Cliffs, N.J. 1977. Zbl 0388.49002
[11] L. V. Kantorovich, G. P. Akilov: Functional Analysis in Normed Spaces. (in Russian). Nauka, Moscow 1977. MR 0511615
[12] T. Pappas A.J. Laub, N. R. Sandell: On the numerical solution of the discrete-time algebraic Riccati equation. IEEE Trans. Automat. Control AC-25 (1980), 631-641. MR 0583440
Partner of
EuDML logo