Projected Dynamical System

Projected Dynamical System

Projected dynamical systems is a mathematical theory investigating the behaviour of dynamical systems where solutions are restricted to a constraint set. The discipline shares connections to and applications with both the static world of optimization and equilibrium problems and the dynamical world of ordinary differential equations. A projected dynamical system is given by the flow to the projected differential equation

\frac{dx(t)}{dt} = \Pi_K(x(t),-F(x(t)))

where K is our constraint set. Differential equations of this form are notable for having a discontinuous vector field.

Read more about Projected Dynamical System:  History of Projected Dynamical Systems, Projections and Cones, Projected Differential Equations, See Also

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