Optimizing adaptive cancer therapy: dynamic programming and evolutionary game theory

M Gluzman, JG Scott… - Proceedings of the …, 2020 - royalsocietypublishing.org
Recent clinical trials have shown that adaptive drug therapies can be more efficient than a
standard cancer treatment based on a continuous use of maximum tolerated doses (MTD) …

Dynamic multiobjective control for continuous-time systems using reinforcement learning

VG Lopez, FL Lewis - IEEE Transactions on Automatic Control, 2018 - ieeexplore.ieee.org
This paper presents an extension of the reinforcement learning algorithms to design
suboptimal control sequences for multiple performance functions in continuous-time …

Optimal trajectories of curvature constrained motion in the hamilton–jacobi formulation

R Takei, R Tsai - Journal of Scientific Computing, 2013 - Springer
We propose a PDE approach for computing time-optimal trajectories of a vehicle which
travels under certain curvature constraints. We derive a class of Hamilton–Jacobi equations …

Pareto Front Characterization for Multiobjective Optimal Control Problems Using Hamilton--Jacobi Approach

A Désilles, H Zidani - SIAM Journal on Control and Optimization, 2019 - SIAM
In this work we present a new approach for the characterization of Pareto fronts for
multiobjective optimal control problems. Our approach is based on the Hamilton--Jacobi …

Direction-dependent optimal path planning for autonomous vehicles

A Shum, K Morris, A Khajepour - Robotics and Autonomous Systems, 2015 - Elsevier
The optimal path planning problem is considered for rovers. Tip-over risk is accurately
modelled using direction dependence. In the previous direction-independent model, the …

Multiobjective optimization based on expensive robotic experiments under heteroscedastic noise

R Ariizumi, M Tesch, K Kato, H Choset… - IEEE transactions on …, 2016 - ieeexplore.ieee.org
In many engineering problems, including those related to robotics, optimization of the control
policy for multiple conflicting criteria is required. However, this can be very challenging …

Minimum time heading control of underpowered vehicles in time-varying ocean currents

B Rhoads, I Mezić, AC Poje - Ocean Engineering, 2013 - Elsevier
We present a numerical method for minimum time heading control of fixed speed AUVs
(autonomous underwater vehicles) such as gliders in known, spatially complex, 2D, time …

Primal–dual adaptive dynamic programming for finite-horizon optimal control of nonlinear systems with isoperimetric constraints

Q Wei, T Li, J Zhang, FY Wang - Automatica, 2025 - Elsevier
In this paper, a novel primal–dual adaptive dynamic programming (PDADP) method is
developed to solve finite-horizon optimal control problems (OCPs) with isoperimetric …

A Hamilton--Jacobi equation for the continuum limit of nondominated sorting

J Calder, S Esedoglu, AO Hero - SIAM Journal on Mathematical Analysis, 2014 - SIAM
We show that nondominated sorting of a sequence X_1,\dots,X_n of independent and
identically distributed random variables in R^d has a continuum limit that corresponds to …

Multistep Look-Ahead Policy Iteration for Optimal Control of Discrete-Time Nonlinear Systems With Isoperimetric Constraints

T Li, Q Wei, FY Wang - IEEE Transactions on Systems, Man …, 2023 - ieeexplore.ieee.org
In this article, a novel multistep look-ahead policy iteration with isoperimetric constraints
(MLPIIC) method is developed to solve infinite horizon optimal control problems (OCPs) with …