Anil V. Rao

Publication Activity (10 Years)

Years Active: 1999-2022
Publications (10 Years): 17

Top Topics

Nonlinear Programming

Mesh Refinement

Computationally Tractable

Optimal Control

Top Venues

ACM Trans. Math. Softw.

Comput. Optim. Appl.

J. Optim. Theory Appl.

Publications

Elisha R. Pager, Anil V. Rao
Method for solving bang-bang and singular optimal control problems using adaptive Radau collocation. Comput. Optim. Appl. 81 (3) (2022)
Joseph D. Eide, William W. Hager, Anil V. Rao
Modified Legendre-Gauss-Radau Collocation Method for Optimal Control Problems with Nonsmooth Solutions. J. Optim. Theory Appl. 191 (2) (2021)
Rachel E. Keil, Alexander Miller, Mrinal Kumar, Anil V. Rao
Biased Kernel Density Estimators for Chance Constrained Optimal Control Problems. ACC (2020)
Yunus M. Agamawi, Anil V. Rao
CGPOPS: A C++ Software for Solving Multiple-Phase Optimal Control Problems Using Adaptive Gaussian Quadrature Collocation and Sparse Nonlinear Programming. ACM Trans. Math. Softw. 46 (3) (2020)
William W. Hager, Hongyan Hou, Subhashree Mohapatra, Anil V. Rao, Xiang-Sheng Wang
Correction to: Convergence rate for a Radau hp collocation method applied to constrained optimal control. Comput. Optim. Appl. 74 (1) (2019)
William W. Hager, Hongyan Hou, Subhashree Mohapatra, Anil V. Rao, Xiang-Sheng Wang
Convergence rate for a Radau hp collocation method applied to constrained optimal control. Comput. Optim. Appl. 74 (1) (2019)
Joseph D. Eide, William W. Hager, Anil V. Rao
Modified Radau Collocation method for Solving Optimal Control Problems with Nonsmooth Solutions Part I: Lavrentiev Phenomenon and the Search Space. CDC (2018)
William W. Hager, Jun Liu, Subhashree Mohapatra, Anil V. Rao, Xiang-Sheng Wang
Convergence Rate for a Gauss Collocation Method Applied to Constrained Optimal Control. SIAM J. Control. Optim. 56 (2) (2018)
Joseph D. Eide, William W. Hager, Anil V. Rao
Modified Radau Collocation Method for Solving Optimal Control Problems with Nonsmooth Solutions Part II: Costate Estimation and the Transformed Adjoint System. CDC (2018)
Fengjin Liu, William W. Hager, Anil V. Rao
Adaptive Mesh Refinement Method for Optimal Control Using Decay Rates of Legendre Polynomial Coefficients. IEEE Trans. Control. Syst. Technol. 26 (4) (2018)
William W. Hager, Jun Liu, Subhashree Mohapatra, Anil V. Rao, Xiang-Sheng Wang
A pseudospectral method for optimal control based on collocation at the Gauss points. CDC (2018)
Matthew J. Weinstein, Anil V. Rao
Algorithm 984: ADiGator, a Toolbox for the Algorithmic Differentiation of Mathematical Functions in MATLAB Using Source Transformation via Operator Overloading. ACM Trans. Math. Softw. 44 (2) (2017)
Matthew J. Weinstein, Anil V. Rao
A Source Transformation via Operator Overloading Method for the Automatic Differentiation of Mathematical Functions in MATLAB. ACM Trans. Math. Softw. 42 (2) (2016)
Begüm Senses Cannataro, Anil V. Rao, Timothy A. Davis
State-defect constraint pairing graph coarsening method for Karush-Kuhn-Tucker matrices arising in orthogonal collocation methods for optimal control. Comput. Optim. Appl. 64 (3) (2016)
William W. Hager, Hongyan Hou, Anil V. Rao
Convergence Rate for a Gauss Collocation Method Applied to Unconstrained Optimal Control. J. Optim. Theory Appl. 169 (3) (2016)
Fengjin Liu, William W. Hager, Anil V. Rao
Adaptive mesh refinement method for optimal control using nonsmoothness detection and mesh size reduction. J. Frankl. Inst. 352 (10) (2015)
Zinan Zhao, Fengjin Liu, Mrinal Kumar, Anil V. Rao
A novel approach to chance constrained optimal control problems. ACC (2015)
Michael A. Patterson, Anil V. Rao
GPOPS-II: A MATLAB Software for Solving Multiple-Phase Optimal Control Problems Using hp-Adaptive Gaussian Quadrature Collocation Methods and Sparse Nonlinear Programming. ACM Trans. Math. Softw. 41 (1) (2014)
David J. N. Limebeer, Giacomo Perantoni, Anil V. Rao
Optimal control of Formula One car energy recovery systems. Int. J. Control 87 (10) (2014)
Fengjin Liu, William W. Hager, Anil V. Rao
An hp mesh refinement method for optimal control using discontinuity detection and mesh size reduction. CDC (2014)
Michael A. Patterson, Matthew J. Weinstein, Anil V. Rao
An efficient overloaded method for computing derivatives of mathematical functions in MATLAB. ACM Trans. Math. Softw. 39 (3) (2013)
Camila Francolin, Hongyan Hou, William W. Hager, Anil V. Rao
Costate estimation of state-inequality path constrained optimal control problems using collocation at Legendre-Gauss-Radau points. CDC (2013)
Camila Francolin, Anil V. Rao, Christiane Duarte, Gerald Martel
Optimal Control of a Surface Vehicle to Improve Underwater Vehicle Network Connectivity. J. Aerosp. Comput. Inf. Commun. 9 (1) (2012)
Divya Garg, Michael A. Patterson, Camila Francolin, Christopher Darby, Geoffrey T. Huntington, William W. Hager, Anil V. Rao
Direct trajectory optimization and costate estimation of finite-horizon and infinite-horizon optimal control problems using a Radau pseudospectral method. Comput. Optim. Appl. 49 (2) (2011)
Anil V. Rao, David A. Benson, Christopher Darby, Michael A. Patterson, Camila Francolin, Ilyssa Sanders, Geoffrey T. Huntington
Corrigendum: Algorithm 902: GPOPS, a MATLAB software for solving multiple-phase optimal control problems using the gauss pseudospectral method. ACM Trans. Math. Softw. 38 (1) (2011)
Divya Garg, William W. Hager, Anil V. Rao
Pseudospectral methods for solving infinite-horizon optimal control problems. Autom. 47 (4) (2011)
Divya Garg, Michael A. Patterson, William W. Hager, Anil V. Rao, David A. Benson, Geoffrey T. Huntington
A unified framework for the numerical solution of optimal control problems using pseudospectral methods. Autom. 46 (11) (2010)
Anil V. Rao, David A. Benson, Christopher Darby, Michael A. Patterson, Camila Francolin, Ilyssa Sanders, Geoffrey T. Huntington
Algorithm 902: GPOPS, A MATLAB software for solving multiple-phase optimal control problems using the gauss pseudospectral method. ACM Trans. Math. Softw. 37 (2) (2010)
Geoffrey T. Huntington, Anil V. Rao
A Comparison between Global and Local Orthogonal Collocation Methods for Solving Optimal Control Problems. ACC (2007)
Anil V. Rao, Kenneth D. Mease
Dichotomic basis approach to solving hyper-sensitive optimal control problems. Autom. 35 (4) (1999)