LMI tools for eventually periodic systems

Systems and Control Letters

Volumn 47, Issue 5, 2002, Pages 417-432

  Farhood, Mazen ^a   Dullerud, Geir E ^a  

^a University of Illinois at Urbana Champaign   (United States)

Author keywords

LMIs; Orbits; Time varying systems

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; CONTROL EQUIPMENT; DISCRETE TIME CONTROL SYSTEMS; LINEAR CONTROL SYSTEMS; MATRIX ALGEBRA; NONLINEAR CONTROL SYSTEMS; SYSTEM STABILITY; UNCERTAIN SYSTEMS;

LINEAR MATRIX INEQUALITY (LMI);

TIME VARYING CONTROL SYSTEMS;

EID: 0037121524     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(02)00230-X     Document Type: Article

References (16)

1. Ball J.A., Gohberg I., Kaashoek M.A. Nevanlinna-Pick interpolation for time-varying input-output maps. the discrete case Oper. Theory: Adv. Appl. 56:1992;1-51.
2. Bittanti S., Colaneri P., De Nicolao G. The periodic Riccati equation. Bittanti S., Laub A.J., Willems J.C. The Riccati Equation. 1991;Springer, Berlin.
3. Boyd S., Elgaoui L., Feron E., Balakrishnan V. Linear Matrix Inequalities in Systems and Control Theory. 1994;SIAM, Philidelphia, PA.
4. Didinsky G., Basar T. Design of minimax controllers for linear systems with nonzero initial states under specified information structures. Internat. J. Robust Nonlinear Control. 2(1):1992;1-30.
5. Dullerud G.E., Lall S.G. A new approach to analysis and synthesis of time-varying systems. IEEE Trans. Automat. Control. 44:1999;1486-1497.
6. M. Farhood, Control of nonstationary LPV systems, M.Sc. Thesis, Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign.
7. ∞ control Internat. J. Robust Nonlinear Control. 4:1991;421-448.
8. Green M., Limebeer D.J.N. Linear Robust Control. 1995;Prentice-Hall, Englewood Cliffs, NJ.
9. Halanay A., Ionescu V. Time-Varying Discrete Linear Systems. 1994;Birkha ̈user, Basel.
10. Iglesias P.A. An entropy formula for time-varying discrete-time control systems. SIAM J. Control Optim. 34:1996;1691-1706.
11. ∞ control problem LMI existence conditions and state space formulas Automatica. 30:1994;1307-1317.
12. ∞ control with transients SIAM J. Control Optim. 29:1991;1373-1393.
13. Packard A. Gain scheduling via linear fractional transformations. Systems Control Lett. 22:1994;79-92.
14. C.L. Pirie, G.E. Dullerud, Robust controller synthesis for uncertain time-varying systems, Proceedings of the American Control Conference, 2000.
15. Yacubovich V.A. A frequency theorem for the case in which the state and control spaces are Hilbert spaces with an application to some problems of synthesis of optimal controls. Sibirskii Mat. Zh. 15:1975;639-668. (English translation in Siberian Mathematics Journal).
16. Y. Zhou, Monotonicity and finite escape time of solutions of the discrete-time Riccati equation, Proceedings of the Fifth European Control Conference, 1999.