A new technique for solving polynomial nonlinear constrained optimal control problems is presented. The problem is reformulated into a parametric ...
Abstract. A new technique for solving polynomial nonlinear constrained optimal control problems is presented. The problem is reformulated into a parametric ...
Publisher. SIAM ; Subject. Optimal control; Model predictive control; Receding horizon control; Power electronics; Controller synthesis; Numerical algebraic ...
Abstract: We present an optimal control application in power electronics using the homotopy continuation method for solving systems of polynomial equations.
Numerical algebraic geometry (NAG) consists of a collection of numerical algorithms, based on homotopy continuation, to approximate the solution sets of systems ...
Nov 20, 2013 · Here's an example of a ``real-life'' application of algebraic geometry. Consider an optimal control problem that adheres to the Karush-Kuhn ...
Dec 14, 2022 · The aim of this paper is to showcase the capabilities of geometric algebra when applied to robot manipulation tasks.
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A new method for nonlinear constrained optimal control based on numerical algebraic geometry is presented. First, the optimal control problem is formulated ...
Semidefinite programs are nonlinear convex optimization problems arising in many applications in engineering, control, and combinatorial optimization, e.g. ...
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ABSTRACT. Numerical algebraic geometry uses numerical data to describe algebraic varieties. It is based on numerical polynomial homotopy continuation, ...