Feedback Stabilization of the Two-Dimensional Navier–Stokes Equations by Value Function Approximation
Author:
Funder
University of Graz
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Control and Optimization
Link
http://link.springer.com/content/pdf/10.1007/s00245-019-09586-x.pdf
Reference43 articles.
1. Abergel, F., Temam, R.: On some control problems in fluid mechanics. Theor. Comput. Fluid Dyn. 1, 303–325 (1990)
2. Aguilar, C.O., Krener, A.J.: Numerical solutions to the Bellman equation of optimal control. J. Optim. Theory Appl. 160, 527–552 (2014)
3. Al’brekht, E.: On the optimal stabilization of nonlinear systems. J. Appl. Math. Mech. 25, 1254–1266 (1961)
4. Badra, M.: Abstract settings for stabilization of nonlinear parabolic system with a Riccati-based strategy. Application to Navier–Stokes and Boussinesq equations with Neumann or Dirichlet control. Discret. Contin. Dyn. Syst. A 32, 1169–1208 (2012)
5. Badra, M., Takahashi, T.: Stabilization of parabolic nonlinear systems with finite dimensional feedback or dynamical controllers: application to the Navier–Stokes system. SIAM J. Control Optim. 49, 420–463 (2011)
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