Stability analysis of piecewise linear delta operator systems

Proceedings of the IEEE International Conference on Automation and Logistics, ICAL 2008

Volumn , Issue , 2008, Pages 1688-1692

  Xu, Yong ^a,b   Li, Jie ^b   Tang, Wansheng ^a   Zhang, Jianxiong ^a   Wei, Jie ^c  

^a TIANJIN UNIVERSITY   (China)

^b HEBEI UNIVERSITY OF TECHNOLOGY   (China)

^c MILITARY TRANSPORTATION UNIVERSITY   (China)

Author keywords

Linear matrix inequality (LMI); Piecewise linear Delta operator systems; Stability

Indexed keywords

A STABILITIES; DELTA OPERATOR SYSTEMS; LINEAR MATRIX INEQUALITY (LMI); LINEAR MATRIXES; PIECE WISES; PIECEWISE LINEAR; PIECEWISE LINEAR DELTA OPERATOR SYSTEMS; PIECEWISE LYAPUNOV FUNCTIONS; STABILITY ANALYSES;

CONTROL THEORY; DELAY CONTROL SYSTEMS; DIFFERENTIAL EQUATIONS; FUZZY CONTROL; LINEAR CONTROL SYSTEMS; LINEAR SYSTEMS; LYAPUNOV FUNCTIONS; MATHEMATICAL OPERATORS; PIECEWISE LINEAR TECHNIQUES; PROBABILITY DENSITY FUNCTION; SYSTEM STABILITY; TELECOMMUNICATION NETWORKS; UNCERTAIN SYSTEMS;

LINEAR MATRIX INEQUALITIES;

EID: 56449094694     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICAL.2008.4636426     Document Type: Conference Paper

References (9)

1. G. Fang, "Stability analysis of piecewise discrete-time linear systems", IEEE Transactions on Automatic Control, 2002, 47(7): 1108-1112.
2. M. Johansson, A. Rantzer, "Computation of piecewise quadratic Lyapunov functions for hybrid systems", IEEE Transactions on Automatic Control, 1998, 43(4):555-559.
3. A. Rantzer M. Johansson, "Piecewise linear quadratic optimal control", IEEE Transactions on Automatic Control, 2000, 45: 629-637.
4. S. Pettersson, B. Lennartson, "LMI approach for stability and robustness of hybrid systems", Proceeding American Control Conference, Albuquerque, NM, 1997, 1714-1718.
5. J. I. Imura, A. van der Schaft, "Characterization of well-posedness of piecewise-linear systems," IEEE Transactions on Automatic Control, 2000, 45: 1600-1619.
6. A. Hassibi, S. Boyd, "Quadratic stabilization and control of piecewise-linear systems," Proceeding American Control Conference, Philadelphia, PA, 1998, 3659-3664
7. D. Zhang, J. Wu, C. Yang, "Robust stabilization and robust H ∞ control for the Delta operator systems via state feedback". Control Theory and Applications (in Chinese), 2001, 18 (5): 732-836.
8. D. Zhang, J. Wu, "Robust H ∞ filtering for Delta operator formulated systems with circular pole and error variance constraints", Control and Decision (in Chinese). 2004, 19(1):12-16.
9. P. Suchomski, "A J-lossless coprime factorization approach to H ∞ control in Delta domain", Automatica, 2002, 38:1807-1814.