On the existence of a positive definite solution of the matrix equation X+ATX−1A= I

This publication has 4 references indexed in Scilit:

• Existence and comparison theorems for algebraic Riccati equations for continuous- and discrete-time systems
  Linear Algebra and its Applications, 1988
• Families of linear-quadratic problems: Continuity properties
  IEEE Transactions on Automatic Control, 1987
• The Stabilizing Solution of the Algebraic Riccati Equation
  SIAM Journal on Control, 1973
• Least squares stationary optimal control and the algebraic Riccati equation
  IEEE Transactions on Automatic Control, 1971