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State space model factorization in $$m$$-dimensions. Applications in stability theory. (English) Zbl 0814.93036
The paper presents a criterion for the characteristic polynomial of an $$m$$-dimensional system to be factorized. The system is given in the state space model. The criterion can be used to check BIBO stability.

##### MSC:
 93C35 Multivariable systems, multidimensional control systems 93B25 Algebraic methods 93B51 Design techniques (robust design, computer-aided design, etc.) 93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, $$L^p, l^p$$, etc.) in control theory
##### Keywords:
factorization; multidimensional systems; BIBO stability