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The minimum number of inputs and stabilization of differential algebraic equations
Linear control differential algebraic equations with identically degenerate matrix before the derivative of the desired vector function are considered. The issues of stabilizability, controllability of spectrum, and minimum dimension of control vector necessitated for complete controllability of the system on any closed interval from the domain of definition are investigated. The problems are analyzed in connection with time invariant systems having regular matrix pencils, and also systems with real-analytic or smooth coefficients possessing some structural forms.
differential algebraic equations; algebraic differential system; controllability; minimum number of inputs; structural form; stabilizability; controllability of spectrum
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