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The Stabilizing Solution of the Algebraic Riccati Equation

Authors: B. P. Molinari

Published: 1973 (Journal Paper)

Source: SIAM Journal on Control

Algorithm: Algebraic Riccati Equation

DOI: 10.1137/0311021

Summary

Characterizes the stabilizing solution of the algebraic Riccati equation arising in LQR design, establishing necessary and sufficient conditions for its existence and uniqueness. A key reference for the theoretical foundations of Riccati-based optimal control synthesis.

Abstract

Primary

Paper epubs.siam.org

Standard

DOI 10.1137/0311021

Tags

  • Algebraic Riccati equation

  • LQR

  • Stabilizing solution

  • Optimal control

  • Linear quadratic regulator

  • Existence conditions