Method of evolving junctions: A new approach to optimal control with constraints
We propose a new strategy, called method of evolving junctions (MEJ), to compute the
solutions for a class of optimal control problems with constraints on both state and control
variables. Our main idea is that by leveraging the geometric structures of the optimal
solutions, we recast the infinite dimensional optimal control problem into an optimization
problem depending on a finite number of points, called junctions. Then, using a modified
gradient flow method, whose dimension can change dynamically, we find local solutions for …
solutions for a class of optimal control problems with constraints on both state and control
variables. Our main idea is that by leveraging the geometric structures of the optimal
solutions, we recast the infinite dimensional optimal control problem into an optimization
problem depending on a finite number of points, called junctions. Then, using a modified
gradient flow method, whose dimension can change dynamically, we find local solutions for …
[PDF][PDF] Method of evolving junctions: A new approach to optimal control with constraints
SN Chow, W Li, J Lu, H Zhou - researchgate.net
We propose a new strategy, called method of evolving junctions (MEJ), to compute the
solutions for a class of optimal control problems with constraints on both state and control
variables. Our main idea is that by leveraging the geometric structures of the optimal
solutions, we recast the infinite dimensional optimal control problem into an optimization
problem depending on a finite number of points, called junctions. Then, using a modified
gradient flow method, whose dimension can change dynamically, we find local solutions for …
solutions for a class of optimal control problems with constraints on both state and control
variables. Our main idea is that by leveraging the geometric structures of the optimal
solutions, we recast the infinite dimensional optimal control problem into an optimization
problem depending on a finite number of points, called junctions. Then, using a modified
gradient flow method, whose dimension can change dynamically, we find local solutions for …
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