Comments on "An alternate numerical solution to the linear quadratic problem" by P.L.D. Peres and J.C. Geromel

Applied and Computational Mathematics

Volumn 9, Issue 1, 2010, Pages 146-148

  Aliev, Fikret A ^a   Gasimov, Yusif S ^a   Velieva, Naila I ^a  

^a BAKU STATE UNIVERSITY   (Azerbaijan)

Author keywords

Convex analysis; Linear quadratic problem; Matrix algebraic equations; Output feedback matrix gain

Indexed keywords

EID: 77956530778     PISSN: 16833511     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Note

References (5)

1. Bernussou, J., Peres, P.L.D. and Geromel, J.C. A linear programming oriented procedure for quadratic stabilization of uncertain systems, Syst. Contr. Lett., V.13, 1989, pp.65-72.
2. Boyd, S. and Yang, Q. Structured and simultaneous Lyapunov functions for system stability problems, Int. J. Contr., V.49, N.6, 1989, pp. 2215-2240.
3. Geromel, J.C., Peres, P.L.D. and Bernussou, J. On a convex parameter space method for linear control design of uncertain systems, SIAM J. Contr. Optimz., V.29, N.2, 1991, pp.381-402.
4. Levine, W.S., Athans, M. On the determination of the optimal constant output feedback gains for the linear multivariable systems, IEEE Trans.Autom. Control, V.AC-15, N.1, 1970.
5. Peres, P.L.D. and Geromel, J.C. An alternate numerical solution to the linear quadratic problem, IEEE Trans. Autom. Control, V.39, N.1, 1994.