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Remarks on the theory of implicit linear continuous-time systems. (English) Zbl 0833.93031
Implicit linear continuous-time systems described by differential equations of the form: \(Ex' (t)= Fx (t)+ Gu(t)\) which may fail to have solutions in the classical sense are considered. The distributional theory of such equations is sketched and the space of admissible initial conditions as well as the controllable spaces are determined.
Reviewer: L. Goras (Iaşi)

MSC:
93C35 Multivariable systems, multidimensional control systems
93C05 Linear systems in control theory
93C99 Model systems in control theory
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