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Time-varying Riccati differential equations with known analytic solutions

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1 Author(s)
C. H. Choi ; Dept. of Electr. Eng., South Alabama Univ., Mobile, AL, USA

This note presents several examples of large-scale time-varying stiff as well as nonstiff Riccati differential equations (RDEs) with known analytic solutions. These examples are useful for testing the accuracy and efficiency of algorithms for solving such equations. Analytic expressions of the eigenvalues of the solutions of the RDEs are also found. Eigenvectors of some of the solutions are given

Published in:

IEEE Transactions on Automatic Control  (Volume:37 ,  Issue: 5 )