Output stabilizability of periodic systems: Necessary and sufficient conditions

Proceedings of the American Control Conference

Volumn 5, Issue , 1998, Pages 2795-2796

  Colaneri, Patrizio ^a   De Souza, Carlos ^b   Kucera, Vladimir ^c  

^a POLITECNICO DI MILANO   (Italy)

^b LABORATÓRIO NACIONAL DE COMPUTAÇÃO CIENTÍFICA   (Brazil)

^c INSTITUTE OF INFORMATION THEORY AND AUTOMATION   (Czech Republic)

Author keywords

Periodic systems; Riccati and Lyapunov equations; Stabilization

Indexed keywords

LINEAR PERIODIC SYSTEMS; LYAPUNOV EQUATION; MATRIX EQUATIONS; OUTPUT STABILIZATION; PERIODIC DIFFERENTIAL; STABILIZABILITY; SUFFICIENT CONDITIONS; TIME INVARIANTS;

LYAPUNOV FUNCTIONS; MATRIX ALGEBRA; STABILIZATION; TIME VARYING SYSTEMS;

MATHEMATICAL TECHNIQUES;

EID: 0011744148     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.1998.688363     Document Type: Conference Paper

References (8)

1. V. Kučera, CE. de Souza, "A necessary and sufficient condition of output feedback stabilizability,", Automation, Vol. 31, pp. 1357-1359, 1995.
2. S. Bittanti, P. Colaneri, G. De Nicolao, "The periodic Riccati equation,", in The Riccati Equation, S. Bittanti, A. Laub, J.C. Willems, Springer Verlag, 1990.
3. S. Bittanti, P. Colaneri, "Lyapunov and Riccati equations: periodic inertia theorems,", IEEE Trans, on Automatic Control, AC-31, 11, pp. 1057-1058, 1986.
4. D. Aeyels, J.L. Willems, "Pole assignment for linear time-invariant systems by memoryless output feedback,", Automatica, Vol. 28, pp. 1159-1168, 1992.
5. D. Aeyels, J.L. Willems, "Pole assignment for linear periodic systems by memoryless output feedback,", IEEE Trans, on Aut. Control, Vol. 40, N.4, pp. 735-739, 1995.
6. V.L. Syrmos, C.T. Abdallah, P. Dorato, K. Grigoriadis, "Static output feedback - a survey,", Automatica, Vol. 33, N. 2, pp. 125-137, 1997.
7. P. Bolzern, P. Colaneri, "Inertia theorems for the periodic Lyapunov difference equation and periodic Riccati difference equation,", Linear Algebra and its Aplplication, 85, pp. 249-265, 1987.
8. S. Bittanti, P. Bolzern, "Stabilizability and de-tectability of linear periodic systems,", Systems and Control Letters, Vol. 6, pp. 141-145, 1986.