Global solvability criteria for matrix Riccati equations

TL;DR

This paper introduces a new approach to establish global solvability criteria for matrix Riccati equations, extending previous comparison theorem results and providing additional corollaries.

Contribution

The paper presents a novel method for determining global solvability of matrix Riccati equations, expanding upon existing comparison theorem-based results.

Findings

Extended the global solvability criteria for matrix Riccati equations.

Derived two new corollaries from the main result.

Enhanced understanding of conditions for solvability.

Abstract

A new approach is used to obtain a global solvability criterion for matrix Riccati equations. It is shown that the obtained result is an extension of a result derived from a comparison theorem for matrix Riccati equations. Two corollaries were drawn from the obtained result as well.