Characterization of Ae Solution Sets to a Class of Parametric Linear Systems
نویسندگان
چکیده
Abstract Consider linear systems whose input data are affine-linear functions of uncertain parameters varying within given intervals. We discuss the so-called AE solution sets of such systems, where the parameters are quantified and all universally quantified parameters precede all existentially quantified ones. Some explicit descriptions of the AE parametric solution sets are derived in the special case of parametric systems where each parameter is involved in only one equation of the system (it may occur several times within this equation). For the general AE parametric solution sets these explicit characterizations lead to some necessary conditions for nonemptiness of such solution sets. Numerical examples illustrate the theory.
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