12 years 6 months ago
Optimal control of epidemic evolution
—Epidemic models based on nonlinear differential equations have been extensively applied in a variety of systems as diverse as infectious outbreaks, marketing, diffusion of belie...
M. H. R. Khouzani, Saswati Sarkar, Eitan Altman
113views more  SIAMNUM 2010»
12 years 9 months ago
Inexact Restoration for Runge-Kutta Discretization of Optimal Control Problems
A numerical method is presented for Runge
C. Yalçin Kaya
112views more  SIAMSC 2011»
12 years 9 months ago
A Discontinuous Galerkin Solver for Front Propagation
We propose a new discontinuous Galerkin (DG) method based on [9] to solve a class of Hamilton-Jacobi equations that arises from optimal control problems. These equations are connec...
Olivier Bokanowski, Yingda Cheng, Chi-Wang Shu
13 years 18 days ago
Ensembles of Neural Networks for Robust Reinforcement Learning
Reinforcement learning algorithms that employ neural networks as function approximators have proven to be powerful tools for solving optimal control problems. However, their traini...
Alexander Hans, Steffen Udluft
231views more  SIAMSC 2010»
13 years 1 months ago
Optimal Control of Parameter-Dependent Convection-Diffusion Problems around Rigid Bodies
Abstract. This paper is concerned with optimal control problems of partial differential equations. In particular, parameterized convection-diffusion problems are considered, wher...
Timo Tonn, Karsten Urban, Stefan Volkwein
102views more  AMC 1999»
13 years 2 months ago
Analysis and approximation of optimal control problems for first-order elliptic systems in three dimensions
We examine analytical and numerical aspects of optimal control problems for firstorder elliptic systems in three dimensions. The particular setting we use is that of divcurl syste...
Max Gunzburger, Hyung-Chun Lee
13 years 2 months ago
Stochastic maximum principle for optimal control under uncertainty
Optimal control problems involve the difficult task of determining time-varying profiles through dynamic optimization. Such problems become even more complex in practical situatio...
Vicente Rico-Ramírez, Urmila M. Diwekar
83views more  SIAMCO 2008»
13 years 2 months ago
Necessary Conditions for Multiobjective Optimal Control Problems with Free End-Time
Abstract. Necessary conditions of optimality are derived for multiobjective optimal control problems with free end-time, in which the dynamics constraint is modeled as a nonconvex ...
B. T. Kien, N.-C. Wong, J. C. Yao
74views more  AUTOMATICA 2006»
13 years 2 months ago
Distributed receding horizon control for multi-vehicle formation stabilization
We consider the control of interacting subsystems whose dynamics and constraints are decoupled, but whose state vectors are coupled non-separably in a single cost function of a fi...
William B. Dunbar, Richard M. Murray
128views more  COR 2008»
13 years 2 months ago
Solving dynamic stochastic economic models by mathematical programming decomposition methods
Discrete-time optimal control problems arise naturally in many economic problems. Despite the rapid growth in computing power and new developments in the literature, many economic...
Mercedes Esteban-Bravo, Francisco J. Nogales