Optimal Control Theory

By M. Shapiro, P. Brumer. 2012

644 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/43e810910973b0f46fe7726969193a8ff5616f34

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In Computational Theory and Mathematics

In Control and Systems Engineering

Citations in the corpus

A Data–Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition (2014, positive): “Furthermore, this could enable the simple yet effective algorithms designed for linear systems, for example controller design [7,8] or stability analysis [1, 9], to be applied to nonlinear systems.”
Control of Connected and Automated Vehicles: State of the Art and Future Challenges (2018, background): “While minimum fuel problems are classical in optimal con-trol [117, 175], the problem described above has some speci-ﬁcity that we will clarify next, and is often denoted as (optimal) eco-driving problem.”
A Survey on Policy Search for Robotics (2013, background): “As path integrals are based on stochastic optimal control theory [84], we will now briefly review the relevant concepts.”
Pontryagin maximum principle for general Caputo fractional optimal control problems with Bolza cost and terminal constraints (2020, neutral): “We refer the reader to textbooks such as [1,16,18,19,29,33,38,49,51,52,54] for theoretical results and/or practical applications, essentially for dynamical systems described by ordinary differential equations.”
A Tutorial on Ultrareliable and Low-Latency Communications in 6G: Integrating Domain Knowledge Into Deep Learning (2021, methodology): “The primal-dual method for solving functional optimization problems has been extensively used in optimal control theory [239].”
Speech Production as State Feedback Control (2011, methodology): “When K y t ( )  is so optimally determined, it is referred to as the Kalman gain function and the observer is referred to as a Kalman filter (Kalman, 1960; Jacobs, 1993; Stengel, 1994; Todorov, 2006).”
Nonlinear convex and concave relaxations for the solutions of parametric ODEs (2013, background): “However, owing to the central role played by convexity in the theory of optimal control and the calculus of variations [1, 35], there are potentially many other reasons, both theoretically and computationally, why it would be of interest to establish an analogous relaxation theory for ODEs influence”