Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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 th ...Visas aprašymas
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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.