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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
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