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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
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