Converse theorem for almost everywhere stability using Lyapunov measure

Proceedings of the American Control Conference

Volumn , Issue , 2007, Pages 4835-4840

  Vaidya, Umesh ^a  

^a Iowa State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUOUS MAPPINGS; FINITE DIMENSIONAL; INFINITE DIMENSIONAL; INVARIANT SETS; LYAPUNOV; LYAPUNOV EQUATIONS; SUFFICIENT CONDITIONS;

DIMENSIONAL STABILITY; DYNAMICAL SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS; LINEAR EQUATIONS; LINEAR SYSTEMS; LYAPUNOV FUNCTIONS; NONLINEAR EQUATIONS; NONLINEAR SYSTEMS; SCHRODINGER EQUATION; SYSTEM STABILITY; TELECOMMUNICATION NETWORKS; TRAJECTORIES;

ASYMPTOTIC STABILITY;

EID: 39549095851     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2007.4282947     Document Type: Conference Paper

References (9)

1. U. Vaidya and P. G. Mehta, Lyapunov meausre for almost evreywhere stability. Accepted for publication in IEEE Transaction on Automatic Control.
2. U. Vaidya and P. Mehta, Computation of Lyapunov measure for almost everywhere stability. 46th Conference on Decision and Control, San Diego CA, 2006.
3. M. Vidyasagar, Nonlinear systems analysis. SIAM, 2002.
4. J. P. Eckman and D. Ruelle, "Ergodic theory of chaos and strange attractors," Rev. Modern Phys., vol. 57, pp. 617-656, 1985.
5. A. Rantzer, "A dual to Lyapunov's stability theorem," Systems & Control Letters, vol. 42, pp. 161-168, 2001.
6. A. Rantzers, An converse theorem for density functions. Proceeding of the 412st IEEE conference on decision and control, Las Vegas Nevada.
7. P. Monzón, "On necessary condition for almost global stability," IEEE Transaction on Automatic control, vol. 48, no. 4, pp. 631-634, 2003.
8. A. Katok and B. Hasselblatt, Introduction to the modern theory of dynamical systems. Cambridge, UK: Cambridge University Press, 1995.
9. W. Rudin, Real and Complex analysis. New York: McGraw-Hill, 1987.