Journal ArticleDOI
An asymptotic property for a class of finite difference equations
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In this article, the authors derived mathematical conditions which characterize the asymptotic behavior of a class of finite difference equations and applied them to the theory of optimal control, and showed that these conditions find application in optimal control.Abstract:
Mathematical conditions are derived which characterize the asymptotic behaviour of a. class of finite difference equations. The results find application in the theory of optimal control.read more
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Book
Iterative Solution of Nonlinear Equations in Several Variables
J.M. Ortega,Werner C. Rheinboldt +1 more
TL;DR: In this article, the authors present a list of basic reference books for convergence of Minimization Methods in linear algebra and linear algebra with a focus on convergence under partial ordering.
Journal ArticleDOI
On the linear optimal digital servo problem
TL;DR: For linear time-invariant digital systems, the convergence of the Riccati equation associated with the optimal servo problem is examined in this article, where necessary and sufficient conditions are established for the existence of finite gains when the command input trajectories may fail to be asymptotically stable.
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