Limits of input-to-state stability

Systems and Control Letters

Volumn 49, Issue 2, 2003, Pages 111-120

  Colonius, Fritz ^a   Kliemann, Wolfgang ^b  

^a UNIVERSITY OF AUGSBURG   (Germany)

^b IOWA STATE UNIVERSITY   (United States)

Author keywords

Attractors; Control sets; Input to state stability

Indexed keywords

CONTROL SYSTEM ANALYSIS; CONTROLLABILITY; PERTURBATION TECHNIQUES;

INPUT-TO-STATE STABILITY;

SYSTEM STABILITY;

EID: 0038558169     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(02)00315-8     Document Type: Article

References (7)

1. Colonius F., Kliemann W. The Dynamics of Control. 2000;Birkhäuser, Boston.
2. Colonius F., Kliemann W. An invariance radius for nonlinear systems. Colonius F., Helmke U., Prätzel-Wolters D., Wirth F. Advances in Mathematical Systems. A Volume in Honor of D. Hinrichsen. 2000;77-91 Birkhäuser, Boston.
3. Colonius F., Kliemann W. Input-to-state-stability, attractors and control sets. Gilliam D., Rosenthal J. Proceedings of the Conference on Mathematical Theory of Networks and Systems (MTNS). August 12-16, 2002;University of Notre Dame, Southbend, Indiana.
4. T. Gayer, Dissertation, Universität Augsburg, 2003, in preparation.
5. Grüne L. Asymptotic Behavior of Dynamical and Control Systems under Perturbation and Discretization. 2002;Springer, Berlin.
6. Robinson C. Dynamical Systems. Stability, Symbolic Dynamics, and Chaos. 1995;CRC Press, Boca Raton, FL.
7. Sontag E. Smooth stabilization implies coprime factorization. IEEE Trans. Automat. Control. 34:1989;435-443.