A Constrained Least Squares Regularization Method for Nonlinear III-Posed Problems
This paper deals with a method for solving ill-posed, nonlinear Hilbert space operator equations $F(x) = y$. Regularization is obtained by solving a constrained least squares regularization problem \[...
This paper deals with a method for solving ill-posed, nonlinear Hilbert space operator equations $F(x) = y$. Regularization is obtained by solving a constrained least squares regularization problem \[...
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Controllability of Nonlinear Discrete-Time Systems: A Lie-Algebraic Approach
SIAM J. Control Optim. Volume 28, Issue 1, pp. 1-33 (January 1990)
Issue Date: January 1990
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This paper presents a geometric study of controllability for discrete-time nonlinear systems. Various accessibility properties are characterized in terms of Lie algebras of vector fields. Some of the results obtained are parallel to analogous ones in continuous-time, but in many respects the theory is substantially different and many new phenomena appear.
©1990 (Copyright) Society for Industrial and Applied Mathematics
| History: | Received 1988-01-11; accepted 1989-03-14 |
| Permalink: | http://dx.doi.org/10.1137/0328001 |
KEYWORDS and AMS
93C10, 93C55, 93B05
PUBLICATION DATA
0363-0129 (print)
1095-7138 (online)
SIAM