# Peter E. Caines

According to our database

Collaborative distances:

^{1}, Peter E. Caines authored at least 128 papers between 1974 and 2019.Collaborative distances:

## Awards

## IEEE Fellow

IEEE Fellow 1986, "For contributions to the theory of system identification and adaptive control".

## Timeline

#### Legend:

Book In proceedings Article PhD thesis Other## Links

#### On csauthors.net:

## Bibliography

2019

Mean Field Games with Partial Observation.

SIAM J. Control and Optimization, 2019

Stochastic ε-Optimal Linear Quadratic Adaptation: An Alternating Controls Policy.

SIAM J. Control and Optimization, 2019

Spectral Representations of Graphons in Very Large Network Systems Control.

CoRR, 2019

2018

Convex Analysis for LQG Systems with Applications to Major Minor LQG Mean Field Game Systems.

CoRR, 2018

ε-Nash Equilibria for Major Minor LQG Mean Field Games with Partial Observations of All Agents.

CoRR, 2018

A Hybrid Optimal Control Approach to LQG Mean Field Games with Switching and Stopping Strategies.

CoRR, 2018

Mean Field Game Systems with Common Noise and Markovian Latent Processes.

CoRR, 2018

Stability of Receding Horizon Control with Smooth Value Functions.

Proceedings of the 57th IEEE Conference on Decision and Control, 2018

Grapbon Linear Quadratic Regulation of Large-Scale Networks of Linear Systems.

Proceedings of the 57th IEEE Conference on Decision and Control, 2018

Mean Field Game Systems with Common and Latent Processes.

Proceedings of the 57th IEEE Conference on Decision and Control, 2018

Graphon Mean Field Games and the GMFG Equations.

Proceedings of the 57th IEEE Conference on Decision and Control, 2018

2017

A Mean Field Game Computational Methodology for Decentralized Cellular Network Optimization.

IEEE Trans. Contr. Sys. Techn., 2017

On the Relation Between the Minimum Principle and Dynamic Programming for Classical and Hybrid Control Systems.

IEEE Trans. Automat. Contr., 2017

In-Block Controllability of Affine Systems on Polytopes.

IEEE Trans. Automat. Contr., 2017

ε-Nash Equilibria for Partially Observed LQG Mean Field Games With a Major Player.

IEEE Trans. Automat. Contr., 2017

The control of arbitrary size networks of linear systems via graphon limits: An initial investigation.

Proceedings of the 56th IEEE Annual Conference on Decision and Control, 2017

A mean field game - Hybrid systems approach to optimal execution problems in finance with stopping times.

Proceedings of the 56th IEEE Annual Conference on Decision and Control, 2017

An optimal execution problem in finance targeting the market trading speed: An MFG formulation.

Proceedings of the 56th IEEE Annual Conference on Decision and Control, 2017

2016

Mean Field Game Theory with a Partially Observed Major Agent.

SIAM J. Control and Optimization, 2016

Nonlinear Filtering Theory for McKean-Vlasov Type Stochastic Differential Equations.

SIAM J. Control and Optimization, 2016

On the Control of Affine Systems with Safety Constraints: Relaxed In-Block Controllability.

CoRR, 2016

Mean field game theory for agents with individual-state partial observations.

Proceedings of the 55th IEEE Conference on Decision and Control, 2016

On the stochastic Minimum Principle for hybrid systems.

Proceedings of the 55th IEEE Conference on Decision and Control, 2016

Mean Field Game ε-Nash equilibria for partially observed optimal execution problems in finance.

Proceedings of the 55th IEEE Conference on Decision and Control, 2016

On Mean Field Games and nonlinear filtering for agents with individual-state partial observations.

Proceedings of the 2016 American Control Conference, 2016

2015

Mean Field Games.

Proceedings of the Encyclopedia of Systems and Control, 2015

On the generation of conditional densities in nonlinear filtering for McKean-Vlasov systems.

Proceedings of the 54th IEEE Conference on Decision and Control, 2015

On the minimum principle and dynamic programming for hybrid systems with low dimensional switching manifolds.

Proceedings of the 54th IEEE Conference on Decision and Control, 2015

On the construction of in-block controllable covers of nonlinear systems on polytopes.

Proceedings of the 54th IEEE Conference on Decision and Control, 2015

Epsilon controllability of nonlinear systems on polytopes.

Proceedings of the 54th IEEE Conference on Decision and Control, 2015

ε-Nash equilibria for partially observed LQG mean field games with major agent: Partial observations by all agents.

Proceedings of the 54th IEEE Conference on Decision and Control, 2015

An estimation based allocation rule with super-linear regret and finite lock-on time for time-dependent multi-armed bandit processes.

Proceedings of the IEEE 28th Canadian Conference on Electrical and Computer Engineering, 2015

ε-Nash equilibria for a partially observed mean field game with major player.

Proceedings of the American Control Conference, 2015

Time Optimal Hybrid Minimum Principle and the Gear Changing Problem for Electric Vehicles.

Proceedings of the 5th IFAC Conference on Analysis and Design of Hybrid Systems, 2015

On the Relation between the Hybrid Minimum Principle and Hybrid Dynamic Programming: a Linear Quadratic Example.

Proceedings of the 5th IFAC Conference on Analysis and Design of Hybrid Systems, 2015

2014

A Mean Field Game Synthesis of Initial Mean Consensus Problems: A Continuum Approach for Non-Gaussian Behavior $ $.

IEEE Trans. Automat. Contr., 2014

Preface: DGAA 2nd Special Issue on Mean Field Games.

Dynamic Games and Applications, 2014

The gear selection problem for electric vehicles: An optimal control formulation.

Proceedings of the 13th International Conference on Control Automation Robotics & Vision, 2014

Two challenges for systems and control.

Proceedings of the 13th International Conference on Control Automation Robotics & Vision, 2014

Mean field games with partially observed major player and stochastic mean field.

Proceedings of the 53rd IEEE Conference on Decision and Control, 2014

On the relation between the Minimum Principle and Dynamic Programming for Hybrid systems.

Proceedings of the 53rd IEEE Conference on Decision and Control, 2014

Hierarchical control of piecewise affine hybrid systems.

Proceedings of the 53rd IEEE Conference on Decision and Control, 2014

Relaxed in-block controllability of affine systems on polytopes.

Proceedings of the 53rd IEEE Conference on Decision and Control, 2014

Computational investigations of decentralized cellular network optimization via mean field control.

Proceedings of the 53rd IEEE Conference on Decision and Control, 2014

2013

Optimal Control for Hybrid Systems With Partitioned State Space.

IEEE Trans. Automat. Contr., 2013

Nash, Social and Centralized Solutions to Consensus Problems via Mean Field Control Theory.

IEEE Trans. Automat. Contr., 2013

Mean Field Stochastic Adaptive Control.

IEEE Trans. Automat. Contr., 2013

Analysis of Decentralized Quantized Auctions on Cooperative Networks.

IEEE Trans. Automat. Contr., 2013

On the Optimal Control of Impulsive Hybrid Systems on Riemannian Manifolds.

SIAM J. Control and Optimization, 2013

Epsilon-Nash Mean Field Game Theory for Nonlinear Stochastic Dynamical Systems with Major and Minor Agents.

SIAM J. Control and Optimization, 2013

Preface: DGAA Special Issue on Mean Field Games.

Dynamic Games and Applications, 2013

On the optimal control of hybrid systems on Lie groups and the exponential gradient HMP algorithm.

Proceedings of the 52nd IEEE Conference on Decision and Control, 2013

The Hybrid Minimum Principle in the presence of switching costs.

Proceedings of the 52nd IEEE Conference on Decision and Control, 2013

A Mean Field Games formulation of network based auction dynamics.

Proceedings of the 52nd IEEE Conference on Decision and Control, 2013

Recursive estimation of common partially observed disturbances in MFG systems with application to large scale power markets.

Proceedings of the 52nd IEEE Conference on Decision and Control, 2013

2012

Mean Field LQG Control in Leader-Follower Stochastic Multi-Agent Systems: Likelihood Ratio Based Adaptation.

IEEE Trans. Automat. Contr., 2012

Social Optima in Mean Field LQG Control: Centralized and Decentralized Strategies.

IEEE Trans. Automat. Contr., 2012

On the continuity of optimal controls and value functions with respect to initial conditions.

Systems & Control Letters, 2012

Newton-Geodesic HMP algorithms for the optimization of hybrid systems and the geometric properties of hybrid value functions.

Proceedings of the 51th IEEE Conference on Decision and Control, 2012

ε-Nash Mean Field Game theory for nonlinear stochastic dynamical systems with mixed agents.

Proceedings of the 51th IEEE Conference on Decision and Control, 2012

Large scale real-time bidding in the smart grid: A mean field framework.

Proceedings of the 51th IEEE Conference on Decision and Control, 2012

Emergence of coalitions in mean field stochastic systems.

Proceedings of the 51th IEEE Conference on Decision and Control, 2012

On an extension of the Hybrid Minimum Principle to systems on Lie groups.

Proceedings of the American Control Conference, 2012

On the stability of interconnected thermodynamic systems with heat and work exchange.

Proceedings of the American Control Conference, 2012

The Exponential Gradient HMP Algorithm for the Optimization of Hybrid Systems On Lie Groups.

Proceedings of the 4th IFAC Conference on Analysis and Design of Hybrid Systems, 2012

Hybrid Thermodynamic Control Systems with Phase Transitions.

Proceedings of the 4th IFAC Conference on Analysis and Design of Hybrid Systems, 2012

2011

Mean Field (NCE) Formulation of Estimation Based Leader-Follower Collective Dynamics.

Int. J. Robotics Autom., 2011

Gradient geodesic and Newton geodesic HMP algorithms for the optimization of hybrid systems.

Annual Reviews in Control, 2011

On the extension of the hybrid minimum principle to Riemannian manifolds.

Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, 2011

A solution to the initial mean consensus problem via a continuum based Mean Field control approach.

Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, 2011

An evolution mean field equation system of initial mean consensus behaviour: A stability analysis.

Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, 2011

Mean Field (NCE) stochastic control: Populations of major and egoist-altruist agents.

Stability of interconnected thermodynamic systems.

2010

Control of Admission and Routing in Loss Networks: Hybrid Dynamic Programming Equations.

IEEE Trans. Automat. Contr., 2010

The NCE (Mean Field) Principle With Locality Dependent Cost Interactions.

IEEE Trans. Automat. Contr., 2010

Analysis of Quantized Double Auctions with Application to Competitive Electricity Markets.

INFOR, 2010

Analysis of a class of decentralized dynamical systems: rapid convergence and efficiency of dynamical quantized auctions.

IMA J. Math. Control & Information, 2010

On the geometry of switching manifolds for autonomous hybrid systems.

Proceedings of the 10th International Workshop on Discrete Event Systems, 2010

Initial investigations of hybrid thermodynamic control systems with phase transitions.

Proceedings of the 10th International Workshop on Discrete Event Systems, 2010

Gradient-geodesic HMP algorithms for the optimization of Hybrid systems based on the geometry of switching manifolds.

Proceedings of the 49th IEEE Conference on Decision and Control, 2010

An algorithm for discrete state sequence and trajectory optimization for hybrid systems with partitioned state space.

Proceedings of the 49th IEEE Conference on Decision and Control, 2010

The minimum principle for hybrid systems with partitioned state space and unspecified discrete state sequence.

Proceedings of the 49th IEEE Conference on Decision and Control, 2010

Optimality of adaption based Mean Field control laws in leader-follower stochastic collective dynamics.

Proceedings of the 49th IEEE Conference on Decision and Control, 2010

Stochastic adaptive Nash Certainty Equivalence control: Population parameter distribution estimation.

Proceedings of the 49th IEEE Conference on Decision and Control, 2010

Analysis of decentralized decision processes in competitive markets: Quantized single and double-sided auctions.

Proceedings of the 49th IEEE Conference on Decision and Control, 2010

Social dynamics in mean field LQG control: Egoistic and altruistic agents.

Proceedings of the 49th IEEE Conference on Decision and Control, 2010

2009

Correction to "On the Hybrid Optimal Control Problem: Theory and Algorithms".

IEEE Trans. Automat. Contr., 2009

On the rapid convergence of a class of decentralized decision processes: quantized progressive second-price auctions.

IMA J. Math. Control & Information, 2009

The Sensitivity of Hybrid Systems Optimal Cost Functions with Respect to Switching Manifold Parameters.

Proceedings of the Hybrid Systems: Computation and Control, 12th International Conference, 2009

Large population games in radial loss networks: Computationally tractable equilibria for distributed network admission control.

Proceedings of the 1st International Conference on Game Theory for Networks, 2009

Equilibria and convergence of auctions on networks.

Proceedings of the 1st International Conference on Game Theory for Networks, 2009

Auctions on networks: Efficiency, consensus, passivity, rates of convergence.

Proceedings of the 48th IEEE Conference on Decision and Control, 2009

Geometrical Properties of Optimal Hybrid System Trajectories and the Optimization of Switching Manifolds.

Proceedings of the 3rd IFAC Conference on Analysis and Design of Hybrid Systems, 2009

2008

Distributed control for radial loss network systems via the ash Certainty Equivalence (mean field) principle.

Proceedings of the 47th IEEE Conference on Decision and Control, 2008

Probabilistic analysis of the rapid convergence of a class of progressive second price auctions.

Proceedings of the 47th IEEE Conference on Decision and Control, 2008

A locality generalization of the NCE (Mean Field) principle: Agent specific cost interactions.

Proceedings of the 47th IEEE Conference on Decision and Control, 2008

2007

A Stochastic Approximation Approach to the Power-Control Problem.

IEEE Trans. Communications, 2007

On the Hybrid Optimal Control Problem: Theory and Algorithms.

IEEE Trans. Automat. Contr., 2007

Large-Population Cost-Coupled LQG Problems With Nonuniform Agents: Individual-Mass Behavior and Decentralized ε-Nash Equilibria.

IEEE Trans. Automat. Contr., 2007

On the supervisory control of multi-agent product systems: Controllability properties.

Systems & Control Letters, 2007

An Invariance Principle in Large Population Stochastic Dynamic Games.

J. Systems Science & Complexity, 2007

A Hybrid Bellman Equation for Bimodal Systems.

Proceedings of the Hybrid Systems: Computation and Control, 10th International Workshop, 2007

A Hybrid Bellman Equation for systems with regional dynamics.

Proceedings of the 46th IEEE Conference on Decision and Control, 2007

Analysis of a class of decentralized decision processes: Quantized progressive second price auctions.

Proceedings of the 46th IEEE Conference on Decision and Control, 2007

Distributed control of loss network systems: Independent subnetwork behaviour in infinite networks.

Proceedings of the 46th IEEE Conference on Decision and Control, 2007

The Nash certainty equivalence principle and McKean-Vlasov systems: An invariance principle and entry adaptation.

Proceedings of the 46th IEEE Conference on Decision and Control, 2007

2006

On the supervisory control of multiagent product systems.

IEEE Trans. Automat. Contr., 2006

Optimality Zone Algorithms for Hybrid Systems: Efficient Algorithms for Optimal Location and Control Computation.

Proceedings of the Hybrid Systems: Computation and Control, 9th International Workshop, 2006

Stochastic Hybrid Netcad Systems for Modeling Call Admission and Routing control in Networks.

Proceedings of the 2nd IFAC Conference on Analysis and Design of Hybrid Systems, 2006

2005

Computationally tractable stochastic power control laws in wireless communications.

IEEE Trans. Automat. Contr., 2005

Degenerate Stochastic Control Problems with ExponentialCosts and Weakly Coupled Dynamics: Viscosity Solutions and a Maximum Principle.

SIAM J. Control and Optimization, 2005

2004

Uplink power adjustment in wireless communication systems: a stochastic control analysis.

IEEE Trans. Automat. Contr., 2004

2003

On the Optimal Control of Hybrid Systems: Optimization of Trajectories, Switching Times, Location Schedules.

Proceedings of the Hybrid Systems: Computation and Control, 2003

2002

Hierarchically accelerated dynamic programming for finite-state machines.

IEEE Trans. Automat. Contr., 2002

Dynamical consistency in hierarchical supervisory control.

IEEE Trans. Automat. Contr., 2002

On the Global Controllability of Nonlinear Systems: Fountains, Recurrence, and Applications to Hamiltonian Systems.

SIAM J. Control and Optimization, 2002

An introduction to hybrid dynamical systems: A. van der Schaft, and H. Schumacher; LNCIS 251, Springer, Berlin, 2000, ISBN 1-85233-233-6.

Automatica, 2002

2001

On Persistent Excitation for Linear Systems with Stochastic Coefficients.

SIAM J. Control and Optimization, 2001

Global Controllability of Hybrid Systems with Controlled and Autonomous Switchings.

Proceedings of the Hybrid Systems: Computation and Control, 4th International Workshop, 2001

2000

Stochastic optimal control under Poisson-distributed observations.

IEEE Trans. Automat. Contr., 2000

1998

Hierarchical Hybrid Systems: Partition Deformations and Applications to the Acrobot System.

Proceedings of the Hybrid Systems: Computation and Control, First International Workshop, 1998

1997

Automated Reasoning with Function Evaluation for COCOLOG.

Ann. Math. Artif. Intell., 1997

1994

On Dynamically Consistent Hybrid Systems.

Proceedings of the Hybrid Systems II, 1994

1986

Edge detection with image enhancement via dynamic programming.

Computer Vision, Graphics, and Image Processing, 1986

1985

On the adaptive control of a class of systems with random parameters and disturbances.

Automatica, 1985

1981

Review of 'Linear Systems' (T. Kailath, 1980).

IEEE Trans. Information Theory, 1981

A globally convergent adaptive predictor.

Automatica, 1981

1974

Maximum likelihood estimation of parameters in multivariate Gaussian stochastic processes (Corresp.).

IEEE Trans. Information Theory, 1974