%A Brunovský, Pavol
%A Zákopčan, Michal
%D 2015
%T Equilibria and stable paths in infinite horizon nonlinear control problems: the linear-quadratic approximation
%K
%X Nonlinear discrete time innite horizon problems with discount are discussed. It is shown that if the limit problem without discount admits a nondegenerate steady state "extremal" solution and certain additional hypotheses are satised then for suciently small discounts the steady state solution exists, for initial conditions suciently close to it the problem has a solution of the stable path type and that it can be approximated by the linear-quadratic truncation of the problem.
%U http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/62
%J Acta Mathematica Universitatis Comenianae
%0 Journal Article
%P 79-96%V 84
%N 1
%@ 0862-9544
%8 2015-02-03