Stability, controllability and observability of 2-D continuous-discrete systems

Based on the model of 1-D complex systems, the criteria of stability, controllability and observability of 2-D continuous-discrete systems are derived. Controllability and observability of 2-D continuous-discrete systems are then defined in terms of the s domain.

[1]  T. Kaczorek.  Stabilization of singular 2-D continuous-discrete systems by state-feedback controllers , 1996, IEEE Trans. Autom. Control..

[2]  Tadeusz Kaczorek,et al.  Positive 2D Continuous-Discrete Linear Systems , 1998 .

[3]  Rolf Unbehauen,et al.  Schur stability of polytopes of bivariate polynomials , 1999, ICECS'99. Proceedings of ICECS '99. 6th IEEE International Conference on Electronics, Circuits and Systems (Cat. No.99EX357).

[4]  M. Bisiacco.  State and output feedback stabilizability of 2-D systems , 1985 .

[5]  G. Marchesini,et al.  Stability analysis of 2-D systems , 1980 .

[6]  Yang Xiao.  Robust Hurwitz-Schur stability conditions of polytopes of 2-D polynomials , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[7]  R. Unbehauen,et al.  Schur stability of polytopes of bivariate polynomials , 1999 .

[8]  Ettore Fornasini,et al.  Doubly-indexed dynamical systems: State-space models and structural properties , 1978, Mathematical systems theory.

[9]  R. Unbehauen,et al.  New stability test algorithm for two-dimensional digital filters , 1998 .

[10]  D. Franke.  2D-Analysis of Hybrid Systems , 1999 .

[11]  D. Davis,et al.  A correct proof of Huang's theorem on stability , 1976 .

[12]  T. Kaczorek,et al.  Positive 2D Discrete and Continuous-Discrete Linear Sytems , 1999 .

[13]  M. Bisiacco.  On the state reconstruction of 2D systems , 1985 .

[14]  Ettore Fornasini,et al.  Optimal control of two-dimensional systems , 1990 .

[15]  Rolf Unbehauen,et al.  Robust Hurwitz stability conditions of polytopes of bivariate polynomials , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[16]  Yang Xiao,et al.  Stability test for 2-D continuous-discrete systems , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).