Scientific Research Publishing

Shao, X., Wei, Y. and Chu, E.K. (2023) Numerical Solutions of Quaternionic Riccati Equations. Journal of Applied Mathematics and Computing, 69, 2617-2639.

ABSTRACT: This paper addresses a class of numerical solution problems for quaternion quadratic matrix equations arising from practical engineering applications. By transforming it into a special ...
Scientific Research Publishing

A General Analytical Solution to the Nonlinear Riccati Differential Equation ()

The nonlinear Riccati differential equation, since its enunciation by Jacopo Riccati in 1724, has become a legendary equation. Despite a 300-year search for a solution, it has not been possible to ...
IEEE

An Inversion-Free Iterative Algorithm With a Scalar Tuning Parameter for Coupled Riccati Matrix Equations Arising in LQ Optimal Control of Markov Jump Systems

Abstract: In this article, iterative algorithms are investigated to solve the Riccati algebraic matrix equations arising in the context of linear quadratic (LQ) optimal control of discrete-time Markov ...
JSTOR Daily

Time-asymptotic Dynamics of Hermitian Riccati Differential Equations

Taiwanese Journal of Mathematics, Vol. 24, No. 1 (February 2020), pp. 131-158 (28 pages) The matrix Riccati differential equation (RDE) raises in a wide variety of applications for science and applied ...
IEEE

A simple method for finding private solution of Riccati equation

Abstract: For solving many of problems in physics, optimal control and mathematics, we need to solve Riccati differential equation. The analytic solution of this problem is not simple and requires a ...