Bounds on the solution of the time-varying linear matrix differential equation P(t) = AH(t) P(t) + P(t) A(t) + Q(t) |
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Authors: | Zhu Yongliang; Pagilla Prabhakar R |
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Institution: |
School of Mechanical and Aerospace Engineering, Oklahoma State University, Stillwater, OK, USA
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Abstract: | ** Email: pagilla{at}ceat.okstate.edu We derive upper and lower bounds for the trace of the solutionof the time-varying linear matrix differential equation (t)= AH(t) P(t) + P(t) A(t) + Q(t). A practical numerical exampleis given to verify the bounds. The bounds obtained are usefulsince the considered equation is encountered in a number ofapplications in systems and control theory. |
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Keywords: | matrix differential equation bounds time-varying |
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