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Peter E. Caines

Peter E. Caines

D-Index & Metrics

Electronics and Electrical Engineering

D-Index
50
Citations
15296
World Ranking
2738
National Ranking
127

Research.com Recognitions

  • 2017 - Fellow of the International Federation of Automatic Control (IFAC)
  • 2009 - SIAM Fellow For contributions to stochastic, adaptive and large scale systems.
  • 2003 - Fellow of the Royal Society of Canada Academy of Science
  • 1986 - IEEE Fellow For contributions to the theory of system identification and adaptive control

Overview

Peter E. Caines is affiliated with McGill University in Canada and has a professional focus spanning mathematics, economics, econometrics, and engineering. Their research output includes significant work in stochastic processes, financial applications, statistical mechanics, economic theories, game theory, and control systems.

The scientist's recent papers include:

  • "Graphon Mean Field Games and Their Equations," 2021, SIAM Journal on Control and Optimization
  • "Linear Quadratic Graphon Field Games," 2021, Communications in Information and Systems
  • "On the Hybrid Minimum Principle: The Hamiltonian and Adjoint Boundary Conditions," 2020, IEEE Transactions on Automatic Control
  • "LQG Graphon Mean Field Games: Analysis via Graphon-Invariant Subspaces," 2023, IEEE Transactions on Automatic Control
  • "LQG Graphon Mean Field Games: Graphon Invariant Subspaces," 2021, 2021 60th IEEE Conference on Decision and Control (CDC)

Frequent co-authors in their research include:

  • Minyi Huang
  • Shuang Gao
  • David Levanony
  • Rinel Foguen Tchuendom
  • Borna Sayedana

The most common venues for their publications are:

  • arXiv (Cornell University)
  • 2022 IEEE 61st Conference on Decision and Control (CDC)
  • IFAC-PapersOnLine
  • IEEE Transactions on Automatic Control
  • 2021 60th IEEE Conference on Decision and Control (CDC)

Peter E. Caines has contributed to the literature published by Springer International Publishing, including the book "Stochastic Lagrangian Adaptation" released in 2024.

The main fields of study represented in their body of work include:

  • Mathematics
  • Economics, Econometrics and Finance
  • Engineering

Subfields of particular emphasis are:

  • Finance
  • Control and Systems Engineering
  • Mathematical Physics
  • Statistics and Probability
  • Economics and Econometrics

Key topics explored across their research consist of:

  • Stochastic processes and financial applications
  • Stochastic processes and statistical mechanics
  • Economic theories and models
  • Markov Chains and Monte Carlo Methods
  • Graph theory and applications
  • Game Theory and Applications
  • Control Systems and Identification

Peter E. Caines has received several awards, including:

  • Fellow of the International Federation of Automatic Control (IFAC), 2017
  • SIAM Fellow, 2009, for contributions to stochastic, adaptive and large scale systems
  • Fellow of the Royal Society of Canada, 2003, Academy of Science
  • IEEE Fellow, 1986, for contributions to the theory of system identification and adaptive control

Best Publications

  • Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle

    Minyi Huang;Roland P. Malhamé;Peter E. Caines

  • Large-Population Cost-Coupled LQG Problems With Nonuniform Agents: Individual-Mass Behavior and Decentralized $ arepsilon$ -Nash Equilibria

    Minyi Huang;P.E. Caines;R.P. Malhame

  • Discrete-time multivariable adaptive control

    Graham Goodwin;Peter Ramadge;Peter Caines

  • Linear stochastic systems

    P. E. Caines

  • Discrete Time Stochastic Adaptive Control

    Graham C. Goodwin;Peter Jeffrey Ramadge;Peter E. Caines

  • Individual and mass behaviour in large population stochastic wireless power control problems: centralized and Nash equilibrium solutions

    Minyi Huang;Caines Pe;R.P. Malhame

  • On the Hybrid Optimal Control Problem: Theory and Algorithms

    M.S. Shaikh;P.E. Caines

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

    Minyi Huang;P. E. Caines;R. P. Malhame

  • Asymptotic normality of prediction error estimators for approximate system models

    Ljung Lennart;Peter E. Caines

  • Discrete time multivariable adaptive control

    Unknown

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

    Mojtaba Nourian;Peter E. Caines

  • Causality analysis and multivariate Autoregressive modelling with an application to supermarket sales analysis

    P.E. Caines;C.W. Keng;S.P. Sethi

  • Feedback between stationary stochastic processes

    P. Caines;C. Chan

  • Mean Field Games

    Peter E. Caines

  • Hierarchical hybrid control systems: a lattice theoretic formulation

    P.E. Caines;Yuan-Jun Wei

  • On the discrete time matrix Riccati equation of optimal control

    P. E. Caines;D. Q. Mayne

  • On the optimal control of hybrid systems: optimization of trajectories, switching times, and location schedules

    M. Shahid Shaikh;Peter E. Caines

  • An Invariance Principle in Large Population Stochastic Dynamic Games

    Minyi Huang;Peter E. Caines;Roland P. Malhamé

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

    M. Nourian;P. E. Caines;R. P. Malhame;Minyi Huang

  • The hierarchical lattices of a finite machine

    P. E. Caines;Y. J. Wei

  • Adaptive control with recursive identification for stochastic linear systems

    P. Caines;S. Lafortune

  • Optimal adaptive LQG control for systems with finite state process parameters

    P. Caines;H. Chen

Frequent Co-Authors

Ji-Feng Zhang
Ji-Feng Zhang Chinese Academy of Sciences
Graham C. Goodwin
Graham C. Goodwin University of Newcastle Australia
Lennart Ljung
Lennart Ljung Linköping University
Robert R. Bitmead
Robert R. Bitmead University of California, San Diego
Martin Buss
Martin Buss Technical University of Munich
Shankar Sastry
Shankar Sastry University of California, Berkeley
Daniel W. C. Ho
Daniel W. C. Ho City University of Hong Kong
Magnus Egerstedt
Magnus Egerstedt University of North Carolina at Chapel Hill
Karl Johan Åström
Karl Johan Åström Lund University
David Q. Mayne
David Q. Mayne Imperial College London

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