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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 85 (1995), S. 75-96 
    ISSN: 1573-2878
    Keywords: Optimal control ; infinite horizon ; nonlinear-quadratic regulator problem ; linear state feedback ; approximate problems ; gradient-flow based algorithm
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, an approach is proposed for solving a nonlinear-quadratic optimal regulator problem with linear static state feedback and infinite planning horizon. For such a problem, approximate problems are introduced and considered, which are obtained by combining a finite-horizon problem with an infinite-horizon linear problem in a certain way. A gradient-flow based algorithm is derived for these approximate problems. It is shown that an optimal solution to the original problem can be found as the limit of a sequence of solutions to the approximate problems. Several important properties are obtained. For illustration, two numerical examples are presented.
    Type of Medium: Electronic Resource
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