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Michele Palladino, GSSI, Italy, Modeling the root growth: an optimal control approach

August 28, 2019 | 3:00 pm - 4:00 pm EDT

In this talk we will propose a new framework to model control systems in which a dynamic friction occurs. In particular, such a framework is motivated by the study of the movement of a robotic root tip in the soil. The model consists in a controlled differential inclusion with a dissipative, upper semi-continuous right hand side, which still preserves existence and uniqueness of the solution for each given input function u(t). Under general hypotheses, we are able to derive the Hamilton-Jacobi-Bellman equation for the related free time optimal control problem and to characterize the value function as the unique, locally Lipschitz continuous viscosity solution.

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Date:
August 28, 2019
Time:
3:00 pm - 4:00 pm EDT
Event Categories:
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