Stability analysis of switched dynamical systems with state-space dilation and contraction

Collection of Technical Papers - AIAA Guidance, Navigation, and Control Conference 2006

Volumn 5, Issue , 2006, Pages 2853-2864

  Wang, P K C ^a,c,d   Hadaegh, F Y ^b,d,e  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^c Department of Electrical Engineering ^*

^d AIAA   (United States)

^e Guidance and Control Analysis

Author keywords

[No Author keywords available]

Indexed keywords

FINITE-TIME STABILITY; STABILITY ANALYSIS; STATE-SPACE DILATION;

AEROSPACE APPLICATIONS; DEGREES OF FREEDOM (MECHANICS); INVARIANCE; LYAPUNOV METHODS; STATE SPACE METHODS; SWITCHING;

SYSTEM STABILITY;

EID: 33845777539     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (13)

1. P.K.C. Wang, M. Mokuno, and F. Y. Hadaegh, "Formation Flying of Multiple Spacecraft with Automatic Rendezvous and Docking Capability," AIAA Guidance,Navigation, and Control Conference, Austin, Aug. 2003, Paper AIAA-2003-5363.
2. R.W. Beard, J. Lawton and F.Y. Hadaegh, "A Coordination Architecture for Spacecraft Formation Control," IEEE Transactions on Control Systems Technology, Vol.9, No.6, Nov.2001, pp.777-790.
3. M. Mesbahi and F.Y. Hadaegh, "Mode and Logic-Based Switching for the Formation Flying Control of Multiple Spacecraft," J. Astronauical Sciences, Vol.49, No.3, pp.443-468, 2001.
4. P.J. Antsaklis, J.A. Stiver, and M.D. Lemmon, "Hybrid systems modeling and autonomous control systems," in Hybrid Systems, Vol.736, Lecture Notes in Computer Science, R.I. Grossman, A. Nerode, A.P. Ravn, and H. Rischel, Eds. Springer, New York, 1993, pp.366-392.
5. M.S. Branicky, VS. Borar, and S.K. Mitter, "A unified framework for hybrid control: model and optimal control theory," IEEE Trans. Automatic Control, Vol.43, pp.31-45, Jan. 1998.
6. A. Van der Schaft and H. Schumacher, An Introduction to Hybrid Dynamical Systems, Springer-Verlag, New York, 1999.
7. L. Hou, A.N. Michel, and H. Ye, "Stability analysis of switched systems," Proc. 35th IEEE Conf. on Decision and Control, Vol.2, 1996, pp.1208-1212.
8. M.S. Branicky, "Multiple Lyapunov functions and other analysis tools for switched and hybrid systems," IEEE Trans. on Automatic Control, Vol.43, 1998, pp.475-482.
9. P. Peleties and R.A. DeCarlo, "Asymptotic stability of m-switched systems using Lyapunov-like functions," Proc. American Control Conference, 1991, pp.1679-1207.
10. S. Pettersson and B. Lennartson, "Stability and robustness for hybrid systems," Proc. 15th IEEE Conf. on Decision and Control, Vol.2, 1996, pp.1202-1207.
11. P.K.C. Wang, "Dynamical systems with state space dilations and contractions," UCLA Engr. Report No. 05-260, 2005.
12. S.P. Bhat and D.S. Bernstein, "Finite-time stability of continuous autonomous systems," SIAM J. Control Optim., Vol.38, No.3, pp.751-766, 2000.
13. D. Chatterjee and D. Liberzon, "Stability analysis of deterministic and stochastic switched systems via a comparison principle and multiple Lyapunov functions," preprint, 2005.