Controllability and observability for impulsive systems in complex fields

Nonlinear Analysis: Real World Applications

Volumn 11, Issue 3, 2010, Pages 1513-1521

  Zhao, Shouwei ^a   Sun, Jitao ^a  

^a TONGJI UNIVERSITY   (China)

Author keywords

Complex dynamical systems; Controllability; Impulsive systems; Observability

Indexed keywords

CLASSICAL EXAMPLE; COMPLEX DYNAMICAL SYSTEMS; COMPLEX FIELDS; COMPLEX SYSTEMS; CORRESPONDING CRITERIA; IMPULSIVE SYSTEMS; LINEAR TIME-INVARIANT; QUANTUM SYSTEM; SUFFICIENT AND NECESSARY CONDITION; TIME VARYING;

DYNAMICAL SYSTEMS; LARGE SCALE SYSTEMS; OBSERVABILITY; QUANTUM ELECTRONICS; QUANTUM OPTICS; TIME VARYING SYSTEMS;

CONTROLLABILITY;

EID: 77950916568     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2009.03.009     Document Type: Article

References (18)

1. Lin H., and Antsaklis P.J. Switching stabilizability for continuous-time uncertain switched linear systems. IEEE Trans. Automat. Control 52 4 (2007) 633-646
2. Lakshmikantham V., Bainov D.D., and Simeonov P.S. Theory of Impulsive Differential Equations (1989), World Scientific, Singapore
3. Zhang Y., and Sun J.T. Stability of impulsive functional differential equations. Nonlinear Anal. TMA 68 12 (2008) 3665-3678
4. Medina E.A., and Lawrence D.A. Reachability and observability of linear impulsive systems. Automatica 44 (2008) 1304-1309
5. Xie G.M., and Wang L. Necessary and sufficient conditions for controllability and observability of switched impulsive control systems. IEEE Trans. Automat. Control 49 6 (2004) 960-966
6. Guan Z.H., Qian T.H., and Yu X.H. Controllability and observability of linear time-varying impulsive systems. IEEE Trans. Circuits Syst.-I 49 8 (2002) 1198-1208
7. Zhao S.W., and Sun J.T. Controllability and observability for a class of time-varying impulsive systems. Nonlinear Anal. RWA 10 3 (2008) 1370-1380
8. Abada N., Benchohra M., and Hammouche H. Existence and controllability results for impulsive partial functional differential inclusions. Nonlinear Anal. 69 (2008) 2892-2909
9. Sivasundaram S., and Uvahb J. Controllability of impulsive hybrid integro-differential systems. Nonlinear Anal. Hybrid Syst. 2 4 (2008) 1003-1009
10. Liu B. Controllability of impulsive neutral functional differential inclusions with infinite delay. Nonlinear Anal. 60 (2005) 1533-1552
11. Wonham W.M. Linear Multivariable Control: A Geometric Approach. second edition (1979), Springer-Verlag, New York
12. Xie G.M., and Wang L. Controllability and observability of a class of linear impulsive systems. J. Math. Anal. Appl. 304 (2005) 336-355
13. Ji Z.J., Wang L., and Guo X.X. On controllability of switched linear systems. IEEE Trans. Automat. Control 53 3 (2008) 796-801
14. Sussmann H.J., and Jurdjevic V. Controllability of nonlinear systems. J. Differential Equations 12 1 (1972) 95-116
15. Wu R.B., Tarn T.J., and Li C.W. Smooth controllability of infinite-dimensional quantum-mechanical systems. Phys. Rev. A 73 (2006) 012719
16. Mirrahimi M., and Van Handel R. Stabilizing feedback controls for quantum systems. SIAM J. Control Optim. 46 2 (2007) 445-467
17. Nielsen M.A., and Chuang I.L. Quantum Computation and Quantum Information (2000), Cambridge University Press, Cambridge
18. Kuang S., and Cong S. Lyapunov control methods of closed quantum systems. Automatica 44 1 (2008) 98-108