Stability of nonlinear time-varying digital 2-D Fornasini-Marchesini system

Multidimensional Systems and Signal Processing - Tập 25 - Trang 235-244 - 2012
J. E. Kurek1
1Institute of Automatic Control and Robotics, Warsaw University of Technology, Warszawa, Poland

Tóm tắt

Stability of a system described by the time-varying nonlinear 2-D Fornasini-Marchesini model is considered. There are given notions of stability of the system and theorems for stability and asymptotic stability which can be considered as the Lyapunov stability theorem extension for the system.

Tài liệu tham khảo

Bliman P.-A. (2002) Lyapunov equation for the stability of 2-D systems. Multidimensional Systems and Signal Processing 13: 201–222 El-Agizi N. G., Fahmy M. M. (1979) Two-dimensional digital filters with no overflow oscillations. IEEE Transactions on Acoustics, Speech and Signal Processing ASSP-27: 465–469 Fornasini E., Marchesini G. (1980) Stability analysis of 2-D systems. IEEE Transactions on Circuits and Systems 27: 1210–1217 Kojima C., Rapisarda P., Takaba K. (2011) Lyapunov stability analysis of higher-order 2D systems. Multidimensional Systems and Signal Processing 22(4): 287–302 Kurek J. E. (1985) The general state-space model for 2-dimensional linear digital systems. IEEE Transactions on Automatic Control AC-30: 600–602 Kurek J. E. (1995) Stability of nonlinear parameter-varying digital 2-D systems. IEEE Transactions on Automatic Control 40: 1428–1432 Ogata K. (1967) State space analysis of control systems. Prentice-Hall, Inc., Englewood Cliffs Roesser R. (1975) A discrete state-space model for linear image processing. IEEE Transactions on Automatic Control AC-20: 1–10 Tatsuhi O. (2001) Stability robustness of 2-D systems described by the Fornasini-Marchesini model. IEEE Transactions on Circuits and Systems 12: 81–88 Zhu Q., Hu G.-D. (2011) Stability and absolute stability of a general 2-D nonlinear FM second model. IET Control Theory & Applications 5: 239–246 Zidong W., Xiaohui L. (2003) Robust stability of two-dimensional uncertain discrete systems. IEEE Signal Processing Letters 10: 133–136