High Quality Content by WIKIPEDIA articles! 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.

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