Control-Relevant Discretization of Nonlinear Systems with Time-Delay Using Taylor-Lie Series

Proceedings of the American Control Conference

Volumn 1, Issue , 2003, Pages 149-154

  Kazantzis, Nikolaos ^a   Chong, K T ^b   Park, J H ^b   Parlos, Alexander G ^b  

^a TEXAS A AND M UNIVERSITY   (United States)

^b Department of Electrical and Computer Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; COMPUTER SIMULATION; DELAY CIRCUITS; DISCRETE TIME CONTROL SYSTEMS; VECTORS;

MATHEMATICAL STRUCTURE;

NONLINEAR SYSTEMS;

EID: 0142186017     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (8)

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3. Hohmann, S., Konrad, A. and Krebs, V., Exact sampled-data representation of continuous-time nonlinear systems by finite polynomials with exactly determined coefficients, Proceedings of the 2001 American Control Conference, 2, pp. 1628-1633 (2001).
4. Kazantzis, N. and Kravaris, C., System-Theoretic Properties of Sampled-Data Representations of Nonlinear Systems Obtained via Taylor-Lie Series. Int. J. Control., 67, pp. 997-1020 (1997).
5. Kazantzis, N. and Kravaris, C., Time-Discretization of Nonlinear Control Systems via Taylor Methods. Comp. Chem. Engn., 23, pp. 763-784 (1999).
6. Mendes, E.M., and Billings, S. A., A note on discretization of nonlinear differential equations. Chaos, 12, pp. 66-71 (2002).
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8. Vidyasagar, M., Nonlinear Systems Analysis. Prentice Hall, Englewood Cliffs (1978).