Recent developments in empirical dynamic modelling
Ecosystems are complex and sparsely observed making inference and prediction
challenging. Empirical dynamic modelling (EDM) circumvents the need for a parametric …
challenging. Empirical dynamic modelling (EDM) circumvents the need for a parametric …
[图书][B] Control systems and reinforcement learning
S Meyn - 2022 - books.google.com
A high school student can create deep Q-learning code to control her robot, without any
understanding of the meaning of'deep'or'Q', or why the code sometimes fails. This book is …
understanding of the meaning of'deep'or'Q', or why the code sometimes fails. This book is …
[图书][B] Moments, positive polynomials and their applications
JB Lasserre - 2009 - books.google.com
Many important applications in global optimization, algebra, probability and statistics,
applied mathematics, control theory, financial mathematics, inverse problems, etc. can be …
applied mathematics, control theory, financial mathematics, inverse problems, etc. can be …
Nonlinear optimal control via occupation measures and LMI-relaxations
We consider the class of nonlinear optimal control problems (OCPs) with polynomial data,
ie, the differential equation, state and control constraints, and cost are all described by …
ie, the differential equation, state and control constraints, and cost are all described by …
Information theoretical analysis of quantum optimal control
S Lloyd, S Montangero - Physical review letters, 2014 - APS
We study the relations between classical information and the feasibility of accurate
manipulation of quantum system dynamics. We show that if an efficient classical …
manipulation of quantum system dynamics. We show that if an efficient classical …
Semi-algebraic approximation using Christoffel–Darboux kernel
We provide a new method to approximate a (possibly discontinuous) function using
Christoffel–Darboux kernels. Our knowledge about the unknown multivariate function is in …
Christoffel–Darboux kernels. Our knowledge about the unknown multivariate function is in …
A convex approach to data-driven optimal control via Perron–Frobenius and Koopman operators
This article is about the data-driven computation of optimal control for a class of control affine
deterministic nonlinear systems. We assume that the control dynamical system model is not …
deterministic nonlinear systems. We assume that the control dynamical system model is not …
Linear programming approach to deterministic infinite horizon optimal control problems with discounting
V Gaitsgory, M Quincampoix - SIAM Journal on Control and Optimization, 2009 - SIAM
We investigate relationships between the deterministic infinite time horizon optimal control
problem with discounting, in which the state trajectories remain in a given compact set Y …
problem with discounting, in which the state trajectories remain in a given compact set Y …
Bounding extreme events in nonlinear dynamics using convex optimization
G Fantuzzi, D Goluskin - SIAM journal on applied dynamical systems, 2020 - SIAM
We study a convex optimization framework for bounding extreme events in nonlinear
dynamical systems governed by ordinary or partial differential equations (ODEs or PDEs) …
dynamical systems governed by ordinary or partial differential equations (ODEs or PDEs) …
Nonlinear stabilization via control Lyapunov measure
This paper is concerned with computational methods for Lyapunov-based stabilization of an
attractor set of a nonlinear dynamical system. Based upon a stochastic representation of …
attractor set of a nonlinear dynamical system. Based upon a stochastic representation of …