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Original Articles

Infinite-dimensional Carleman linearization, the Lie series and optimal control of non-linear partial differential equations

Pages 663-675 | Received 01 Oct 1990, Published online: 23 Apr 2007

REFERENCES

  • BANKS , S. P. , 1983 , State Space and Frequency-Domain Methods in the Control of Distributed Parameter Systems ( London Peter Peregrinius ); 1988 a, Mathematical Theories of Non-linear Systems (Englewood Cliffs, NJ Prentice Hall); 1988 b, Systems Control Lett., 19, 629; 1990, Global linear representations of non-linear systems and the adjoint map, Int. J. Control, 51, 1229-1240 .
  • BANKS , S. P. , and YEW , M. K. , 1985 , Systems Control Lett ., 5 , 327 .
  • CARLEMAN , T. , 1932 , T. Ark. Mat. Astron. Fys ., 22 B, 1932 .
  • HENRY , D. , 1981 , Geometric Theory of Semilinear Parabolic Equations ( New York Springer Verlag ).
  • OLVER , P. J. , 1986 , Applications of Lie Groups to Differential Equations ( New York Springer Verlag ).
  • STEINBERG , S. , 1984 , J. math. Analysis Applic , 101 , 39 .

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