LAUSR.org creates dashboard-style pages of related content for over 1.5 million academic articles. Sign Up to like articles & get recommendations!

Derivation of the system of generalized Riccati equations from the system of evolution equations

Photo by averey from unsplash

The method of transformation of a linear system of evolution equations into the system of Riccati-type equations is elaborated. It is shown that the system of generalized Riccati equations is… Click to show full abstract

The method of transformation of a linear system of evolution equations into the system of Riccati-type equations is elaborated. It is shown that the system of generalized Riccati equations is governed by the characteristic polynomial of n-order generator matrix of the linear system of evolution equations. Solutions of the generalized Riccati equations are presented by roots of the polynomial function, whose coefficients constitute the solutions of the linear system of evolution equations. An inverse mapping from the solutions of generalized Riccati equations onto the solutions of the linear evolution equations is constructed.

Keywords: system; system evolution; riccati equations; evolution equations; generalized riccati

Journal Title: Asian-european Journal of Mathematics
Year Published: 2017

Link to full text (if available)


Share on Social Media:                               Sign Up to like & get
recommendations!

Related content

More Information              News              Social Media              Video              Recommended



                Click one of the above tabs to view related content.