Connection between almost everywhere stability of an ODE and advection PDE

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2007, Pages 5880-5885

  Rajaram, Rajeev ^a   Vaidya, Umesh ^b   Fardad, Makan ^c  

^a SHEPHERD UNIVERSITY   (United States)

^b Iowa State University   (United States)

^c UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DYNAMICAL SYSTEMS; LINEAR SYSTEMS; LYAPUNOV FUNCTIONS; PARTIAL DIFFERENTIAL EQUATIONS;

ALMOST EVERYWHERE STABILITY; CONTINUOUS TIME DYNAMICAL SYSTEMS; LYAPUNOV DENSITY;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 62749168277     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2007.4434827     Document Type: Conference Paper

References (10)

1. A. Rantzer, "A dual to Lyapunov's stability theorem," Systems & Control Letters, vol. 42, pp. 161-168, 2001.
2. U. Vaidya and P. G. Mehta, Lyapunov measure for almost everywhere stability. Accepted for publication in IEEE Transaction on Automatic Control.
3. U. Vaidya and P. Mehta, Computation of Lyapunov measure for almost everywhere stability. 46th Conference on Decision and Control, San Diego CA, 2006.
4. U. Vaidya, A converse theorem for almost everywhere stability using Lyapunov measure. Accepted of American Control Conference, 2007.
5. S. Prajna, P. A. Parrilo, and A. Rantzer, "Nonlinear control synthesis by convex optimization," IEEE Transactions on Automatic Control, vol. 49, no. 2, pp. 1-5, 2004.
6. P. G. M. U. Vaidya and U. Shanbag, Lyapunov measure for the control of non-equilibrium behavior. Submitted to CDC 2007.
7. A. Rantzer, An converse theorem for density functions. Proceeding of the 412st IEEE conference on decision and control, Las Vegas Nevada.
8. P. Monzón, "On necessary condition for almost global stability," IEEE Transaction on Automatic control, vol. 48, no. 4, pp. 631-634, 2003.
9. A. Lasota and M. C. Mackey, Chaos, Fractals, and Noise: Stochastic Aspects of Dynamics. New York: Springer-Verlag, 1994.
10. K. Engel and R. Nagel, One -Parameter semigroups for linear evolution equations. Springer-Verlag, New York, 2000.