Spectral theory for the failure of linear control in a nonlinear stochastic system

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 66, Issue 6, 2002, Pages 065301/1-065301/4

  Grigoriev, Roman O ^a   Handel, Andreas ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR CONTROL; LINEAR OPERATOR; OPTIMAL DISTURBANCE; PHYSICAL SYSTEMS;

COMPUTER SIMULATION; DEGREES OF FREEDOM (MECHANICS); EIGENVALUES AND EIGENFUNCTIONS; FLUID DYNAMICS; NONLINEAR SYSTEMS; STOCHASTIC CONTROL SYSTEMS; TURBULENCE;

LINEAR SYSTEMS;

ARTICLE;

EID: 37649032217     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.065301     Document Type: Article

References (13)

1. K.M. Butler and B.F. Farrell, Phys. Fluids A 4, 1637 (1992).
2. L.N. Trefethen, A.E. Trefethen, S.C. Reddy, and T.A. Driscoll, Science 261, 578 (1993).
3. T. Gebhardt and S. Grossmann, Phys. Rev. E 50, 3705 (1994).
4. A.L. Bertozzi and M.P. Brenner, Phys. Fluids A 9, 530 (1997); L. Kondic and A.L. Bertozzi, ibid. 11, 3560 (1999).
5. A.L. Bertozzi and M.P. Brenner, Phys. Fluids A 9, 530 (1997); L. Kondic and A.L. Bertozzi, ibid. 11, 3560 (1999).
6. D.A. Egolf and J.E.S. Socolar, Phys. Rev. E 57, 5271 (1998).
7. R.O. Grigoriev and A. Handel, e-print arxiv.org/abs/nlin.PS/ 0207023; Phys. Rev. E 66, 067201 (2002).
8. R.O. Grigoriev and A. Handel, e-print arxiv.org/abs/nlin.PS/ 0207023; Phys. Rev. E 66, 067201 (2002).
9. B.F. Farrell and P.J. Ioannou, J. Atmos. Sci. 53, 2025 (1996).
10. R.O. Grigoriev, M.C. Cross, and H.G. Schuster, Phys. Rev. Lett. 79, 2795 (1997).
11. P. Dorato, C. Abdallah, and V. Cerrone, Linear-Quadratic Control (Prentice-Hall, Englewood Cliffs, NJ, 1995).
12. R.O. Grigoriev, e-print arxiv.org/abs/nlin.PS/0207024.
13. S.J. Camargo, M.K. Tippett, and I.L. Caldas, Phys. Plasmas 7, 2849 (2000).