A comparison between Hankel norms and induced system norms

IEEE Transactions on Automatic Control

Volumn 43, Issue 11, 1998, Pages 1658-1662

  Lu, Wayne W ^a   Balas, Gary J ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Hankel norm; LTIV system; Norm induced initial condition; System integral invariance

Indexed keywords

CONTROL SYSTEM ANALYSIS; CONTROL SYSTEM SYNTHESIS; DIFFERENTIAL EQUATIONS; INTEGRAL EQUATIONS; INVARIANCE; VECTORS;

HANKEL NORMS; INDUCED SYSTEM NORMS; LINEAR TIME-INVARIANT (LTIV) SYSTEMS;

TIME VARYING CONTROL SYSTEMS;

EID: 0032205831     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.728891     Document Type: Review

References (11)

1. C. A. Desoer and M. Vidyasagar, Feedback Systems: Input-Output Properties. New York: Academic, 1975.
2. J. Doyle, B. Francis, and A. Tannenbaum, Feedback Control Theory. New York: Macmillan, 1990.
3. ∞-error bounds," Int. J. Contr., vol. 39, no. 6, pp. 1115-1193, 1984.
4. ∞ Control Theory. Berlin, Germany: Springer-Verlag, 1987.
5. D. E. Kirk, Optimal Control Theory - An Introduction. Englewood Cliffs, NJ: Prentice-Hall, 1970.
6. K. Poolla and J. S. Shamma, "Asymptotic performance through adaptive robust control," in Proc. 29th IEEE Conf. Decision Contr., 1990, pp. 3176-3181.
7. W. Rudin, Principles of Mathematical Analysis. New York: McGraw-Hill, 1976.
8. D. A. Wilson, "Convolution and Hankel operator norms for linear systems," IEEE Trans. Automat. Contr., vol. 34, pp. 94-97, Jan. 1989.
9. K. Yoshida, Functional Analysis. New York: Springer-Verlag, 1978.
10. K. Zhou, J. Doyle, and K. Glover, Robust and Optimal Control. Englewood Cliffs, NJ: Prentice-Hall, 1996.
11. ∞ problems by weight selection in quadratic optimal control," Int. J. Contr., vol. 53, no. 5, pp. 1161-1176, 1991.