Matrix equations arising in regulator problems
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The two coupled linear equations C*X-Z%B = A^ C^Y+Z^A^B^ in polynomial matrices are studied in detail. These equations are crucial in the theory and design of linear optimal dynamic regulators via frequency-domain methods. The solvability of these equations is established under natural conditions. All solutions are characterized and then a specific solution is studied. Relation to other matrix equations is dis cussed.
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