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) …
standard cancer treatment based on a continuous use of maximum tolerated doses (MTD) …
Dynamic multiobjective control for continuous-time systems using reinforcement learning
This paper presents an extension of the reinforcement learning algorithms to design
suboptimal control sequences for multiple performance functions in continuous-time …
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 …
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 …
multiobjective optimal control problems. Our approach is based on the Hamilton--Jacobi …
Direction-dependent optimal path planning for autonomous vehicles
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 …
modelled using direction dependence. In the previous direction-independent model, the …
Multiobjective optimization based on expensive robotic experiments under heteroscedastic noise
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 …
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
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 …
(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 …
developed to solve finite-horizon optimal control problems (OCPs) with isoperimetric …
A Hamilton--Jacobi equation for the continuum limit of nondominated sorting
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 …
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
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 …
(MLPIIC) method is developed to solve infinite horizon optimal control problems (OCPs) with …