###
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.

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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