Near-optimal control of nonlinear dynamical systems: A brief survey

Y Zhang, S Li, L Liao - Annual Reviews in Control, 2019 - Elsevier
For nonlinear dynamical systems, an optimal control problem generally requires solving a
partial differential equation called the Hamilton–Jacobi–Bellman equation, the analytical …

Linear quadratic regulation and stabilization of discrete-time systems with delay and multiplicative noise

H Zhang, L Li, J Xu, M Fu - IEEE Transactions on Automatic …, 2015 - ieeexplore.ieee.org
This paper is concerned with the long-standing problems of linear quadratic regulation
(LQR) control and stabilization for a class of discrete-time stochastic systems involving …

General duality between optimal control and estimation

E Todorov - 2008 47th IEEE conference on decision and control, 2008 - ieeexplore.ieee.org
Optimal control and estimation are dual in the LQG setting, as Kalman discovered, however
this duality has proven difficult to extend beyond LQG. Here we obtain a more natural form of …

Design of stabilizing controllers with a dynamic gain for feedforward nonlinear time-delay systems

X Zhang, L Baron, Q Liu… - IEEE Transactions on …, 2010 - ieeexplore.ieee.org
In this technical note, constructive control techniques have been proposed for controlling
feedforward nonlinear time-delay systems. The nonlinear terms admit an incremental rate …

Delay-independent stability test for systems with multiple time-delays

II Delice, R Sipahi - IEEE Transactions on Automatic Control, 2011 - ieeexplore.ieee.org
Delay-independent stability (DIS) of a general class of linear time-invariant (LTI) multiple
time-delay system (MTDS) is investigated in the entire delay-parameter space. Stability of …

Consensus control of multi-agent systems with input and communication delay: A frequency domain perspective

Z Ahmed, MM Khan, MA Saeed, W Zhang - ISA transactions, 2020 - Elsevier
This paper describes consensus control of multi-agent systems (MAS) with input and
communication delay in the frequency domain. Each agent of MAS is a linear continuous …

Optimal control for stochastic systems with multiple controllers of different information structures

Q Qi, L **e, H Zhang - IEEE Transactions on Automatic Control, 2020 - ieeexplore.ieee.org
In this article, we investigate the optimal linear quadratic control problem for stochastic
systems with multiple controllers, where each controller has its own information structure …

Integral reinforcement learning-based optimal output feedback control for linear continuous-time systems with input delay

G Wang, B Luo, S Xue - Neurocomputing, 2021 - Elsevier
In this paper, an integral reinforcement learning (IRL)-based model-free optimal output-
feedback (OPFB) control scheme is developed for linear continuous-time systems with input …

Stabilization and optimal control for discrete-time Markov jump linear system with multiplicative noises and input delays: A complete solution

C Han, Z Wang, H Zhang, P Date - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
This article investigates the stabilization and optimal control problems for Markov jump linear
system (MJLS) with multiplicative noises and input delays. By overcoming the substantive …

[КНИГА][B] New trends in optimal filtering and control for polynomial and time-delay systems

M Basin - 2008 - books.google.com
0. 1 Introduction Although the general optimal solution of the? ltering problem for nonlinear
state and observation equations confused with white Gaussian noises is given by the …