Abstract
Continuous-time projected dynamical systems are an elementary class of discontinuous dynamical systems with trajectories that remain in a feasible domain by means of projecting outward-pointing vec...
Highlights
Projected dynamical systems form an important class of discontinuous dynamical systems whose trajectories remain in a domain X
Even though projected dynamical systems have a long history in different contexts such as the study of variational inequalities or differential inclusions, new compelling applications in the context of real-time optimization require a different, more general approach
We have provided an extensive study of projected dynamical systems on irregular subset on manifolds, including the model of oblique projection directions
Summary
Projected dynamical systems form an important class of discontinuous dynamical systems whose trajectories remain in a domain X. Consider a Clarke regular set X ⊂ Rn, a continuous vector field f , and a continuous metric g, both defined on X .
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