Erik I. Verriest1
School of Electrical and Computer Engineering
Georgia Institute of Technology
Atlanta, GA, 30332-0250
1 DESCRIPTION OF THE PROBLEM
Given two n×n real matrices, A and B, consider the matrix Riccati equation
Can one characterize the pairs (A, B) for which the above equation has a solution for positive definite symmetric matrices P, Q, and R?
In  a pair (A, B) was defined to be Riccati stable if a triple of positive definite matrices P, Q, R exists such that (1) holds.
The problem may be stated equivalently as an LMI:
Can one characterize all pairs (A, B) without ...