Anisotropy-based performance analysis of linear discrete time invariant control systems

International Journal of Control

Volumn 74, Issue 1, 2001, Pages 28-42

  Diamond, P ^a   Vladimirov, I ^a   Kurdjukov, A ^a   Semyonov, A ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; COMPUTATIONAL METHODS; DISCRETE TIME CONTROL SYSTEMS; GAUSSIAN NOISE (ELECTRONIC); ITERATIVE METHODS; LINEAR CONTROL SYSTEMS; LYAPUNOV METHODS; PROBABILITY; TRANSFER FUNCTIONS; WHITE NOISE;

GAUSSIAN INPUT DISTURBANCES;

TIME VARYING CONTROL SYSTEMS;

EID: 0035835257     PISSN: 00207179     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207170150202661     Document Type: Article

References (21)

1. Arov, D.Z., and Krein, M.G., 1983, On computing the entropy integrals and their minima in generalized extension problems/(Russian), Acta. Sci. Math (Szeged), 45, 33-50.
2. Bernhard, H.-P., 1998, A tight upper bound on the gain of linear and non-linear predictors for stationary stochastic processes. IEEE Transactions on Signal Processing, 46, 2909-2917.
3. ∞ performance bound: a Riccati equation approach. IEEE Transactions on Automatic Control, 34, 293-305.
4. ∞ control problems. IEEE Transactions on Automatic Control, 34, 831-848.
5. ∞-Control Theory, Lecture Notes in Control and Information Sciences, Vol. 88 (New York: Springer-Verlag).
6. ∞ optimization. International Journal of Control, 49, 1683-1723.
7. Ibragimov, I.A., and Rozanov, Y.A., 1978, Gaussian Random Processes (New York: Springer-Verlag).
8. ∞ control. International Journal of Control, 54, 1031-1073.
9. Lancaster, P., and Rodman, L., 1995, Algebraic Riccati equations (New York: Oxford University Press).
10. Liptser, R.S., and Shiryaev, A.N., 1977, Statistics of Random Processes (New York: Springer-Verlag), Vol. 1.
11. Mehrmann, V.L., 1991, The Autonomous Linear Quadratic Control Problem: Theory and Numerical Solution, Lecture Notes in Control and Information Sciences, Vol. 163 (New York: Springer-Verlag).
12. ∞-Control (Springer-Verlag, New York).
13. Rockafellar, R.T., 1970, Convex Analysis (Princeton NJ: Princeton University Press).
14. ∞ problems via convex optimization. IEEE Transactions on Automatic Control, 43, 1475-1481.
15. ∞-optimization. Proceedings of the 33rd Conference on Decision and Control, Florida, USA, December 14-16, 3, 2249-2250.
16. Vladimirov, I.G., Kurdjukov, A.P., and Semyonov, A.V., 1995a, Anisotropy of signals and the entropy of linear stationary systems. Doklady of Russian Academy of Sciences, Mathematics, 342, 583-585 (in Russian) (English translation: 1995, 51, 388-390).
17. ∞-optimization. Doklady of Russian Academy of Sciences, Control Theory, 343, 607-609 (in Russian) (English translation: 1995, 52, 155-157).
18. Vladimirov, I.G., Kurdjukov, A.P., and Semyonov, A.V., 1996a, On computing the anisotropic norm of linear discrete-time-invariant systems. Proceedings of the 13th IFAC World Congress, San-Francisco, California, USA, June 30-July 5, G, 179-184, Paper IFAC-2d-01.6.
19. ∞-optimization problem. Proceedings of the 13th IFAC Worm Congress, San-Francisco, California, USA, June 30-July 5, H, 427-432, Paper IFAC-3d-01.6.
20. Vladimirov, I.G., Kurdjukov, A.P., and Semyonov, A.V., 2000, Asymptotic of anisotropic norm of linear time-invariant systems. Automation and Remote Control, to appear.
21. ∞ performance objectives. IEEE Transactions Automatic Control, 39, I: Robust performance analysis, 1564-1574; II: Optimal control, 1575-1587.