The best linear approximation for nonlinear systems

Applied Mathematics and Computation

Volumn 167, Issue 2, 2005, Pages 1041-1061

  Kamyad, Ali Vahidian ^a   Mehne, Hamed Hashemi ^b   Borzabadi, Akbar Hashemi ^c  

^a FERDOWSI UNIVERSITY OF MASHHAD   (Iran)

^b AEROSPACE RESEARCH INSTITUTE   (Iran)

^c DAMGHAN UNIVERSITY   (Iran)

Author keywords

Approximation theory; Discretization; Linear programming; Measure theory; Nonlinear systems

Indexed keywords

APPROXIMATION THEORY; LINEAR PROGRAMMING; LINEARIZATION; TIME VARYING SYSTEMS;

DISCRETIZATION; L2-NORM; LINEAR TIME-VARYING SYSTEM; MEASURE THEORY;

NONLINEAR SYSTEMS;

EID: 25144499120     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.08.002     Document Type: Article

References (8)

1. E. Aranda-Bricaire, U. Kotta, and C. Moog Linearization of discrete-time systems SIAM Journal on Control and Optimization 34 6 1996 1999 2023
2. R.B. Ash Measure, Integration, and Functional Analysis 1972 Academic Press London, New York
3. P. Jouan Immersion of nonlinear systems into linear systems modulo output injection SIAM Journal on Control and Optimization 41 6 2003 1756 1778
4. A.V. Kamyad, and H.H. Mehneh A linear programming approach to the controllability of time-varying systems International Journal of Engineering Science 14 4 2003 143 151
5. H.J. Marquez Nonlinear Control Systems: Analysis and Design 2003 John Wiley & Sons Werserlen, Germany
6. P.C. Rosenbloom Quelques classes de problems extremaux Bulletin de la Societe Math-ematique de France 80 1952 183 216
7. J.E. Rubio Control and Optimization the Linear Treatment of Non-linear Problems 1986 Manchester University Press Manchester, UK
8. L. Slādeček Exact linearization of stochastic dynamical systems by state space coordinate transformation and feedback Ig-linearization Applied Mathematics E-Notes 3 2003 99 106