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: Distributed Dynamic Programming for Discrete-Time Stochastic Control, and Idempotent Algorithms Submitted to Automatica

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

  • 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. (to appear).

  • W.M. McEneaney: A New Fundamental Solution for Differential Riccati Equations Arising in Control Automatica (to appear)

  • 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.

  • An oldie: My thesis from May, 1993.

    The image below is an H_infinity value function
    computed from a max-plus eigenvector representation.
    It is for a nonlinear system where the nonlinearity is about 20%.
    (It is in .gif format.)

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    email me at wmcenean@math.ucsd.edu

    JFACC experiment html document,