Invariant periodic manifolds of discrete maps

ECC 1997 - European Control Conference

Volumn , Issue , 1997, Pages 3404-3409

  Barbot, Jean Pierre ^a   Hauser, John ^b  

^a SUPELEC   (France)

^b University of Colorado at Boulder   (United States)

Author keywords

Discrete time; Nonlinear dynamics; Stability

Indexed keywords

CONTINUOUS TIME SYSTEMS; CONVERGENCE OF NUMERICAL METHODS; DIGITAL CONTROL SYSTEMS; DYNAMICS; STABILITY;

CONTINUOUS-TIME; DISCRETE - TIME SYSTEMS; DISCRETE TIME; LOCAL COORDINATE; NONLINEAR DISCRETE-TIME SYSTEMS; STABILITY PROPERTIES; TRANSVERSE COORDINATE; TRANSVERSE DYNAMICS;

DISCRETE TIME CONTROL SYSTEMS;

EID: 84949093435     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.1997.7082639     Document Type: Conference Paper

References (8)

1. Bernd Aulbach. Continuous and Discrete Dynamics Near Manifolds of Equilibria, volume 1058 of Lecture Notes in Mathematics. Springer-Verlag, Berlin, 1984.
2. Jean-Pierre Barbot and John Hauser. Invariant periodic manifolds of discrete maps, http://talon. Colorado.edu/~hauser/dconv. ps.
3. Sergio Bittanti, Patrizio Colaneri, and Guiseppe De Nicolao. The periodic Ricatti equation. In Sergio Bittanti, Alan Laub, and. Jan C. Willems, editors, The Ricatti Equation, chapter 6, pages 127-162. Springer-Verlag, 1991.
4. Jack K. Hale. Ordinary Differential Equations. Robert E. Krieger Publishing Company, Malabar, Florida, 1980.
5. John Hauser and Chung Choo Chung. Converse Lyapunov functions for exponentially stable periodic orbits. Systems and Control Letters, 23:27-34, 1994.
6. Roger A. Horn and Charles R. Johnson. Matrix Analysis. Cambridge University Press, 1985.
7. Hassan K. Khalil. Nonlinear Systems. Macmillan, New York, 1992.
8. George C. Verghese and Seth R. Sanders. Observers for flux estimation in induction machines. IEEE Transactions on Industrial Electronics, 35(1):85-94, 1988.