Abstract:
A controlled linear system of differential-algebraic equations with infinitely differentiable coefficients is considered. An arbitrarily high unsolvability index and a variable rank of matrix coefficients are allowed. Sufficient existence conditions are obtained and methods are proposed for finding a feedback control such that the solution of a closed system exists in the class of generalized function (distribution)s of Sobolev–Schwartz type and does not contain singular terms. This control is constructed as a linear combination of the components of the system's state and its derivatives.
Keywords:differential-algebraic equations, generalized solution, feedback, exclusion of impulse terms.
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