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January  1998, 4(1): 43-54. doi: 10.3934/dcds.1998.4.43

Some properties of ergodic attractors for controlled dynamical systems

Mariko Arisawa 1, and  Hitoshi Ishii 2,

1. 

Department of Mathematics, University of Wisconsin-Madison, Madison, WI 53706, United States
2. 

Department of Mathematics, Tokyo Metropolitan University, Hachioji-shi,Tokyo 192-03, Japan

Received  March 1996 Revised  April 1997 Published  October 1997

We define controlled dynamical systems and give a few of characterizations of ergodic attractors of controlled dynamical systems.
Keywords: support of functionals., optimal control, ergodic attractors, positively invariant sets, Controlled dynamical systems.
Mathematics Subject Classification: 34D45, 34H05, 58F11, 93B0.
Citation: Mariko Arisawa, Hitoshi Ishii. Some properties of ergodic attractors for controlled dynamical systems. Discrete & Continuous Dynamical Systems, 1998, 4 (1) : 43-54. doi: 10.3934/dcds.1998.4.43
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