State-space realization of 2-D systems via continued fraction expansion. (English) Zbl 0604.93010
An algorithm is presented for minimal state-space realization of two- dimensional (2-D) systems. The method is based on the idea of expanding the transfer function in a 2-D continued fraction. The algorithm proposed in conceptually and computationally simple.
MSC:
93B20 | Minimal systems representations |
30B70 | Continued fractions; complex-analytic aspects |
93B40 | Computational methods in systems theory (MSC2010) |
70G10 | Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics |
93B15 | Realizations from input-output data |
93C05 | Linear systems in control theory |
93C35 | Multivariable systems, multidimensional control systems |