Title :
Time-varying Riccati differential equations with known analytic solutions
Author_Institution :
Dept. of Electr. Eng., South Alabama Univ., Mobile, AL, USA
fDate :
5/1/1992 12:00:00 AM
Abstract :
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
Keywords :
differential equations; eigenvalues and eigenfunctions; analytic solutions; eigenvalues; eigenvectors; large-scale stiff time-varying equations; nonstiff Riccati differential equations; Actuators; Control systems; Differential equations; Eigenvalues and eigenfunctions; Mathematics; Nonlinear control systems; Partial differential equations; Riccati equations; Stability; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
