Title :
On some bounds in the algebraic Riccati and Lyanupov equations
Author_Institution :
Universität de Hannover, Hannover, Germany
fDate :
2/1/1985 12:00:00 AM
Abstract :
Some bounds for the trace and determinant of the solution to the algebraic Riccati and Lyapunov matrix equations are presented. These bounds give information on "mean size" of the solution to the equations in a simple way. The obtained determinant bound for the Lyapunov equation shows the improvement over the previously reported one.
Keywords :
Algebraic Riccati equation (ARE); Determinants; Lyapunov matrix equations; Riccati equations, algebraic; Algebra; Circuits; Control theory; Error correction; Jacobian matrices; Magnetooptic recording; Mathematics; Observability; Polynomials; Riccati equations;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1985.1103913
