Properties of solutions of matrix Riccati equations
G. A. Grigorian
TL;DR
This paper investigates the properties of regular solutions to matrix Riccati equations and applies these findings to analyze the asymptotic behavior of solutions in linear differential systems.
Contribution
It provides new insights into the properties of matrix Riccati solutions and their role in understanding linear system asymptotics.
Findings
Characterization of regular solutions of Riccati equations
Application to asymptotic analysis of linear ODEs
Enhanced understanding of solution behavior over time
Abstract
In this paper we study properties of regular solutions of matrix Riccati equations. The obtained results are used to study the asymptotic behavior of solutions of linear systems of ordinary differential equations.
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Taxonomy
TopicsMatrix Theory and Algorithms · Algebraic and Geometric Analysis · Elasticity and Wave Propagation