COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Feedback stabilization of Autonomous Systems via Deep Neural Network Approximation

## Feedback stabilization of Autonomous Systems via Deep Neural Network ApproximationAdd to your list(s) Download to your calendar using vCal - Karl Kunisch (University of Graz, Austrian Academy of Sciences)
- Friday 19 November 2021, 14:00-14:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. MDLW03 - Deep learning and partial differential equations Optimal feedback stabilization of nonlinear systems requires knowledge of the gradient of the solution to an Hamilton-Jacobi-Bellman (HJB) equation. This is a computationally challenging topic, typically plagued by the high dimension of the underlying dynamical system. In our contribution we do not address the solution of the HJB equation directly.Rather we propose a framework for computing approximating optimal feedback gains based on a learning approach using neural networks. The approach rests on two main ingredients. First, an optimal control (learning) formulation involving an ensemble of trajectories with ‘control’ variables given by the feedback gain functions. Second, an approximation to the feedback functions by neural networks. Existence and convergence of optimal stabilizing neural network feedback controllers is proven. Numerical examples illustrate the performance in practice.This is joint work with Daniel Walter, Radon Institute, Linz. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 1, Newton Institute
- bld31
Note that ex-directory lists are not shown. |
## Other listsType the title of a new list here Pembroke College Corporate Partnership Talks Cambridge International Development Conference## Other talksNetworking and Poster Session Wealth Economy Foundation Workshop – Growing prosperity: sustainable stewardship POSTPONED*Drivers of Morphological complexity: a Cnidarian Perspective Unmixing the Ocean: Double Diffusion and Turbulence in Polar Oceans Universal NHS healthcare: has the pandemic changed the promise? |