Abstract
The problem of control in linear systems was all but exhaustively solved using the technology of embedding the dynamic linear systems in arbitrary transforms. Depending on the formulation of the problem, its solution takes the form either of a system of bilinear polynomial equations, or system of linear polynomial equations, or finite formulas. In doing so, all of the existing formulations of the problem for linear systems which make use of both regular and irregular control laws were encompassed.
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Bukov, V.N., Ryabchenko, V.N. System Embedding. Linear Control. Automation and Remote Control 62, 39–54 (2001). https://doi.org/10.1023/A:1002875700243
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DOI: https://doi.org/10.1023/A:1002875700243