Parametric solutions to Sylvester conjugate matrix equations
By two recently proposed operations with respect to complex matrices, a simple explicit solution to the Sylvester-conjugate matrix equation is given in a finite series form. The obtained solution can also be equivalently expressed in terms of the so-calledcontrollability-like matrix and observabilit...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Elsevier
2011
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/9125 |
| Summary: | By two recently proposed operations with respect to complex matrices, a simple explicit solution to the Sylvester-conjugate matrix equation is given in a finite series form. The obtained solution can also be equivalently expressed in terms of the so-calledcontrollability-like matrix and observability-like matrix. The proposed solution can provide all the degrees of freedom which is represented by a free parameter matrix. An illustrative example is employed to show the effectiveness of the proposed method. |
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