论文信息 - Approximation and realization of Hankel matrices

Approximation and realization of Hankel matrices

The approximation of a Hankel matrix by finite rank Hankel matrices is considered. A constructive procedure is proposed for the approximate realization of a linear analytic system by means of bilinear systems.

Antonio Tornambè | Tommaso Isola | A. Tornambè | T. Isola

[1] Stephen P. Banks,et al. On the Generation of Infinite Dimensional Bilinear Systems and Volterra Series , 1985 .

[2] A. Isidori. Nonlinear Control Systems: An Introduction , 1986 .

[3] J. Barrett. The Use of Functionals in the Analysis of Non-linear Physical Systems† , 1963 .

[4] Darrell Williamson,et al. Observation of bilinear systems with application to biological control , 1977, Autom..

[5] M. Fliess,et al. On the Approximation of Nonlinear Systems by Some Simple State-Space Models , 1982 .

[6] Ronald R. Mohler,et al. Natural Bilinear Control Processes , 1970, IEEE Trans. Syst. Sci. Cybern..

[7] Michael Athans,et al. On stochastic dynamic stackelberg strategies , 1975, Autom..

[8] A. Isidori,et al. Realization and Structure Theory of Bilinear Dynamical Systems , 1974 .

[9] P. E. Crouch,et al. The observation space and realizations of finite Volterra series , 1987 .