Explicit solutions of conjugate, periodic, time-varying Sylvester equations
Li Ma,
Rui Chang,
Mengqi Han
et al.
Abstract:Solutions of a group of conjugate time-varying matrix equations are discussed in this paper. Through mathematical derivation, the solutions to this group of equations are equivalent to the solutions to a class of conjugate time-invariant matrix equations. Further, the related conditions of solvability are obtained and the general explicit solutions are represented by using quasicontrollability and quasiobservability matrices. A detailed algorithm is presented to make the calculation process clear, and the effe… Show more
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