P. Petkov, M. Konstantinov, D. Gu, and I. Postlethwaite, Solving continuous-time matrix algebraic Riccati equations with condition and accuracy estimates, Tech. Rep. 94--64, Control Systems Research, Department of Engineering, Leicester University, Leicester LE1 7RH, UK, Dec. 1994.  Home/Search   Document Not in Database   Summary   Related Articles

....the symplectic balancing strategy proposed here is often not enough to minimize errors caused by ill scaling. This is due to the effect that for a balanced Hamiltonian matrix H = h A Q G GammaA T i we still may have kQk AE kGk which may cause large errors when computing invariant subspaces [27]. Therefore, another symplectic scaling using a similarity transformation with diag i p aeI n ; 1 p ae I n j 2 S 2n , ae 2 R, should be applied to H in order to achieve kAk kGk kQk as far as possible; see [4] for details and a discussion of several heuristic strategies to achieve ....

P. Petkov, M. Konstantinov, D. Gu, and I. Postlethwaite, Solving continuous-time matrix algebraic Riccati equations with condition and accuracy estimates, Tech. Rep. 94--64, Control Systems Research, Department of Engineering, Leicester University, Leicester LE1 7RH, UK, Dec. 1994.

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