Books:

  • W.M. McEneaney: Max-Plus Methods for Nonlinear Control and Estimation Birkhauser Systems and Control Series, 2006.

  • A. Kott and W.M. McEneaney (Eds.): Adversarial Reasoning: Computational Approaches to Reading the Opponent's Mind Chapman and Hall/CRC Press, 2007.

  • W.M. McEneaney, G. Yin and Q. Zhang (Eds.): Stochastic Analysis, Control, Optimization and Applications: A Volume in Honor of W.H. Fleming Birkhauser Systems and Control Series, 1999.

    Selected preprints (highly incomplete):

  • W.M. McEneaney: The dequantized Schrodinger equation and a complex-valued stationary action diffusion representation, Applied Math. Optim. (to appear).

  • W.M. McEneaney and P.M. Dower: Static duality and a stationary-action application, J. Differential Eqs. (to appear).

  • W.M. McEneaney: A stationary-action control representation for the dequantized Schrodinger equation, Proc. 2016 Math. Theory Networks and Systems.

  • P.M. Dower, W.M. McEneaney and M. Cantoni: A dynamic game approximation for a linear regulator problem with a log-barrier state constraint, Proc. 2016 Math. Theory Networks and Systems.

  • W.M. McEneaney and P.M. Dower: Staticization, Its Dynamic Program and Solution Propagation, Automatica.

  • W.M. McEneaney and P.M. Dower: Staticization and associated Hamilton-Jacobi and Riccati equations, Proc. 2015 SIAM Conf. Control Theory and Applics.

  • P.M. Dower and W.M. McEneaney: Solving two-point boundary value problems for a wave equation via the principle of stationary action and optimal control, SIAM J. Control and Optim.

  • P.M. Dower and W.M. McEneaney: A max-plus fundamental solution semigroup for a class of lossless wave equations, Proc. 2015 SIAM Conf. Control Theory and Applics.

  • S.-H. Han and W.M. McEneaney: The principle of least action and a two-point boundary value problem in orbital mechanics, Applied Math. Optim. (to appear).

  • W.M. McEneaney and A. Pandey: An idempotent algorithm for a class of network-disruption games, Kybernetica (to appear).

  • W.M. McEneaney and P.M. Dower: The Principle of Stationary Action and Numerical Methods for N-Body Problems, Proc. 2014 Conf. Math. Theory Networks and Systems.

  • S.-H. Han and W.M. McEneaney: The principle of least action and two-point boundary value problems in orbital mechanics, Proc. 2014 American Control Conf.

  • W.M. McEneaney and P.M. Dower: The Principle of Least Action and Fundamental Solutions of Mass-Spring and N-Body Two-Point Boundary Value Problems SIAM J. Control and Optim.

  • P.M. Dower and W.M. McEneaney: A max-plus dual space fundamental solution for a class of operator differential Riccati equations SIAM J. Control and Optim., 53 (2015), 969-1002.

  • W.M. McEneaney and P.M. Dower: The principle of least action and solution of two-point boundary-value problems on a limited time horizon Proc. SIAM Conf. on Control and its Applics., (2013), 199-206.

  • W.M. McEneaney and H. Kaise: Idempotent expansions for continuous-time stochastic control Proc. 2013 SIAM Conf. on Control and its Applics.

  • W.M. McEneaney: Idempotent Method for Deception Games and Complexity Attenuation Proc. 2011 IFAC.

  • W.M. McEneaney, H. Kaise and S.H. Han: Idempotent Method for Continuous-Time Stochastic Control and Complexity Attenuation Proc. 2011 IFAC.

  • S. Sridharan, W.M. McEneaney, M. Gu and M.R. James: A reduced complexity min-plus solution method to the optimal control of closed quantum systems Applied Math. and Optim.

  • W.M. McEneaney and A. Deshpande: Payoff Suboptimality Induced by Approximation of the Hamiltonian SIAM J. Control and Optim.

  • W.M. McEneaney and S.H. Han: Optimization Formulation and Monotonic Solution Method for the Witsenhausen Problem Automatica.

  • P.M. Dower and W.M. McEneaney: A max-plus based fundamental solution for a class of infinite dimensional Riccati equations Proc. IEEE CDC 2011.

  • W.M. McEneaney, S.-H. Han and A. Liu: An Optimization Approach to the Witsenhausen Counterexample Proc. IEEE CDC 2011.

  • W.M. McEneaney: Idempotent Expansions for Continuous-Time Stochastic Control Proc. IEEE CDC 2010.

  • S. Sridharan, M. Gu, M.R. James and W.M. McEneaney: A Reduced Complexity Numerical Method for Optimal Gate Synthesis Phys. Review A (2010).

  • W.M. McEneaney: Distributed Dynamic Programming for Discrete-Time Stochastic Control, and Idempotent Algorithms Automatica.

  • W.M. McEneaney: Idempotent Method for Dynamic Games and Complexity Reduction in Min-Max Expansions Proc. IEEE CDC 2009.

  • W.M. McEneaney: Complexity Reduction, Cornices and Pruning Tropical and Idempotent Mathematics, AMS Contemporary Math. 495 (2009).

  • W.M. McEneaney: Convergence Rate for a Curse-of-Dimensionality-Free Method for HJB PDEs Represented as Maxima of Quadratic Forms SIAM J. Control and Opt. 48 (2009).

  • W.M. McEneaney and L.J. Kluberg: Convergence Rate for a Curse-of-Dimensionality-Free Method for a Class of HJB PDEs SIAM J. Control and Opt. 48 (2009).

  • W.M. McEneaney: A New Fundamental Solution for Differential Riccati Equations Arising in Control Automatica 44 (2008), 920-936.

  • W.M. McEneaney, A. Deshpande and S. Gaubert: Curse-of-Complexity Attenuation in the Curse-of-Dimensionality-Free Method for HJB PDEs Proc. 2008 American Control Conf.

  • W.M. McEneaney, A. Oran and A. Cavender: Value-Based Tasking Controllers for Sensing Assets Proc. 2008 AIAA Guidance, Nav. and Control Conf.

  • W.M. McEneaney: A Curse-of-Dimensionality-Free Numerical Method for Solution of Certain HJB PDEs SIAM J. Control and Opt. (2007).

  • W.M. McEneaney: Max-Plus Summation of Fenchel-Transformed Semigroups for Solution of Nonlinear Bellman Equations Systems and Control Letters

  • W.M. McEneaney and R. Singh: Unmanned Vehicle Operations under Imperfect Information in an Adversarial Environment Proc. AIAA Unmanned Unlimited Conf. 2004.

  • W.M. McEneaney: Max-Plus Eigenvector Methods for Nonlinear H_infinity Problems: Error Analysis Siam J. Control and Opt., Vol. 43 (2004), 379--412.

  • W.M. McEneaney: Some Classes of Imperfect Information Finite State-Space Stochastic Games with Finite-Dimensional Solutions Appl. Math. and Optim., Vol. 50 (2004), 87--118.

  • W.M. McEneaney and P.M. Dower: A max-plus affine power method for approximation of a class of mixed l_infinity/l_2 value functions Proc. IEEE CDC 2003.

  • W.M. McEneaney: Max-Plus Eigenvector Representations for Solution of Nonlinear H_infinity Problems: Basic Concepts IEEE Trans. Auto. Control (2003).

  • W.M. McEneaney: A Class of Reasonably Tractable Partially Observed Discrete Stochastic Games Proc. 41st IEEE CDC (2002).

  • W.M. McEneaney: A Class of Tractable Partially Observed Discrete Stochastic Games Proc. MTNS 2002.

  • W.M. McEneaney: Max-Plus Methods for Nonlinear H_infinity Control: Operating in the Transform Space 41st IFAC Symposium on Robust Control Design, Milan, 2003.

  • W.M. McEneaney and B.G. Fitzpatrick: Control for UAV Operations under Imperfect Information Proc. 1st AIAA UAV Symposium (2002) AIAA-2002-3452.

  • W.M. McEneaney, B.G. Fitzpatrick and I.G. Lauko: Stochastic Game Approach to Air Operations IEEE Trans. Aero. Elec. Systems, Vol. 40 (2004), 1191--1216.

  • W.M. McEneaney: Error Analysis for a Max-Plus Algorithm for a First-Order HJB Equation Proc. Workshop on Max-Plus Algebra, Prague August 2001.

  • W.M. McEneaney: Convergence and Error Analysis for a Max-Plus Algorithm Proc. 39th IEEE CDC (2000), 1194-1199.

  • W.M. McEneaney and K. Ito: Stochastic Games and Inverse Lyapunov Methods in Air Operations Proc. 39th IEEE CDC (2000), 2568-2573.

  • W.M. McEneaney: The Max-Plus Eigenvector Algorithm for Nonlinear H_infinity Control ACC 2000.

  • W.M. McEneaney: Robust/Game-Theoretic Methods in Filtering and Estimation Proc. DARPA Symposium on Advances in Enterprise Control (1999).

  • W.H. Fleming and W.M. McEneaney: Robust Limits of Risk-Sensitive Nonlinear Filters Math. Control, Signals and Systems, 14 (2001), 109-142.

  • W.M. McEneaney and C.D. Charalambous: Large Deviations Theory, Induced Log-Plus and Max-Plus Measures and their Applications Proc. Math. Theory of Networks and Systems (MTNS), (2000).

  • W.M. McEneaney: Exactly Linearizing Algebras for Risk-Sensitive Filtering Proc. 38th IEEE CDC (1999).

  • J.W. Helton, F.D. Kronewitter, W.M. McEneaney and M. Stankus: Singularly Perturbed Control Systems Using Noncommutative Computer Algebra Int'l. J. of Robust and Nonlinear Control, 10 (2000), 983-1003.

  • M. Horton and W.M. McEneaney: Computation of Max--Plus Eigenvector Representations for Nonlinear H_infinity Value Functions ACC 1999 1400-1404.

  • J.W. Helton, M.R. James and W.M. McEneaney: Measurement Feedback Nonlinear H_infinity Control: the Cheap Sensor Case (Part 1) Submitted to IEEE Trans. Auto. Control.

  • M. Horton and W.M. McEneaney: Max-Plus Eigenvector Representations for Nonlinear H_infinity Value Functions 37th IEEE CDC (1998), 3506--3511

  • J.W. Helton, M.R. James and W.M. McEneaney: Nonlinear control: the joys of having an extra sensor 37th IEEE CDC (1998). 3518--3524

  • F. Da Lio and W.M. McEneaney: Finite Time-Horizon Risk Sensitive Control and the Robust Limit under a Quadratic Growth Assumption SIAM J. Control and Optim. (2002)

  • W.H. Fleming and W.M. McEneaney: A Max-Plus Based Algorithm for an HJB Equation of Nonlinear Filtering SIAM J. Control and Optim., 38 (2000), 683-710.

  • W.M. McEneaney: A uniqueness result for the Isaacs equation corresponding to nonlinear H_infinity control Mathematics of Control, Signals and Systems 11 (1998) 303-334.

  • W.H. Fleming and W.M. McEneaney: Risk sensitive and robust nonlinear filtering 36th IEEE CDC (1997) 1088-1093.

  • K. Ito and W.M. McEneaney: Infinite Time--Horizon Risk Sensitive Systems with Quadratic Growth 36th IEEE CDC (1997) 3413-3418.

  • W.M. McEneaney: Robust/H_infinity Filtering for Nonlinear Systems Systems and Control Letters, 33 (1998) 315-325.

  • W.M. McEneaney: A robust control framework for option pricing Math. of Operations Research, Vol 22 (1997) 202--221.

  • W.M. McEneaney: Optimal aeroassisted guidance using Loh's term approximations J. Guidance, Control and Dyns., Vol 14 (1991) 368--376.

  • D. Sonnabend and W.M. McEneaney: Gravity gradient measurements Proc. IEEE CDC, 1988 860--866.

  • An oldie: My thesis from May, 1993.

    The image below represents fundamental solution of a n-body problem with three bodies.
    One may use such a fundamental solution to solve two-point boundary value problems
    for a variety of boundary data without the necessity of re-solving the problem for each set of data.

    Back to my homepage

    email me at wmcenean@math.ucsd.edu