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The spectral factorization problem for multivariable distributed parameter systems. (English) Zbl 0933.93042

Linear multivariable distributed parameter control systems with an impulse response having an infinite number of arbitrary delayed impulses are considered. Using algebraic methods, the solution to the spectral factorization problem is studied in detail. Moreover, two important special cases are also considered. In all cases it is essentially shown that the spectral density matrix has a spectral factor whenever this is true for its singular atomic part. Finally, several remarks and comments on the spectral factorization problem for distributed parameter linear control systems are presented. The paper contains an extensive list of references. Similar factorization problems can be found e.g. in the paper [F. M. Callier and J. Winkin, Int. J. Control 52, No. 1, 55-75 (1990; Zbl 0713.93024)].

MSC:

93C05 Linear systems in control theory
93C35 Multivariable systems, multidimensional control systems
93C20 Control/observation systems governed by partial differential equations
93C80 Frequency-response methods in control theory

Citations:

Zbl 0713.93024
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References:

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