Monotonicity of maximal solutions of algebraic Riccati equations

Least squares stationary optimal control and the algebraic Riccati equation

Jan C. Willems · IEEE Transactions on Automatic Control · 1971 · 1.4K citations

Natural Sciences, Mathematics, Differential Equations +12

On Hermitian Solutions of the Symmetric Algebraic Riccati Equation

Israel Gohberg, Peter Lancaster, Leiba Rodman · SIAM Journal on Control and Optimization · 1986 · 95 citations

Natural Sciences, Mathematics, Complex Systems +6

On nonnegative definite solutions to matrix quadratic equations

V. Kučera · Automatica · 1972 · 58 citations

Natural Sciences, Mathematics, Differential Equations +6

On the algebraic Riccati equation

Hȧrald K. Wimmer · Bulletin of the Australian Mathematical Society · 1976 · 33 citations · Full text

Natural Sciences, Mathematics, Algebra +5