Title :
A New Approach for Upper Bound Estimations of the Solution of the Continuous Riccati Equation
Author_Institution :
Electr. Eng. Dept., Cheng-Shiu Univ., Kaohsiung, Taiwan
Abstract :
By utilizing some linear algebraic techniques, a new approach for measuring upper bounds of the solution of the continuous algebraic Riccati equation (CARE) is developed. Two upper matrix bounds are developed. Comparing with those appeared in the literature, the obtained bounds are less restrictive or more concise. Therefore, they can be applied easily to deal with control problems.
Keywords :
Riccati equations; matrix algebra; CARE; continuous algebraic Riccati equation; linear algebraic techniques; solution upper bound estimations; upper matrix bounds; Control systems; Eigenvalues and eigenfunctions; Mathematical model; Matrices; Riccati equations; Upper bound; Continuous algebraic Riccati equation (CARE); linear algebraic technique; upper solution bound;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2011.2179429
