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 …

Stochastic optimal control and estimation methods adapted to the noise characteristics of the sensorimotor system

E Todorov - Neural computation, 2005 - direct.mit.edu
Optimality principles of biological movement are conceptually appealing and straightforward
to formulate. Testing them empirically, however, requires the solution to stochastic optimal …

Discrete-time indefinite LQ control with state and control dependent noises

MA Rami, X Chen, XY Zhou - Journal of Global Optimization, 2002 - Springer
This paper deals with the discrete-time stochastic LQ problem involving state and control
dependent noises, whereas the weighting matrices in the cost function are allowed to be …

[KNIHA][B] Stochastic H2/H∞ control: A Nash game approach

W Zhang, L **e, BS Chen - 2017 - taylorfrancis.com
The H∞ control has been one of the important robust control approaches since the 1980s.
This book extends the area to nonlinear stochastic H2/H∞ control, and studies more …

Indefinite stochastic linear quadratic control and generalized differential Riccati equation

MA Rami, JB Moore, XY Zhou - SIAM Journal on Control and Optimization, 2002 - SIAM
A stochastic linear quadratic (LQ) control problem is indefinite when the cost weighting
matrices for the state and the control are allowed to be indefinite. Indefinite stochastic LQ …

Iterative linearization methods for approximately optimal control and estimation of non-linear stochastic system

W Li, E Todorov - International Journal of Control, 2007 - Taylor & Francis
This paper presents an iterative Linear-Quadratic-Gaussian method for locally-optimal
control and estimation of non-linear stochastic systems. The new method constructs an …

Quadratic hedging and mean-variance portfolio selection with random parameters in an incomplete market

AEB Lim - Mathematics of Operations Research, 2004 - pubsonline.informs.org
This paper concerns the problems of quadratic hedging and pricing, and mean-variance
portfolio selection in an incomplete market setting with continuous trading, multiple assets …

Stochastic consentability of linear systems with time delays and multiplicative noises

X Zong, T Li, G Yin, JF Zhang - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
This paper develops stochastic consentability of linear multiagent systems with time delays
and multiplicative noises. First, the stochastic stability for stochastic differential delay …

Optimal regulators for a class of nonlinear stochastic systems

B Gashi, H Hua - International Journal of Control, 2023 - Taylor & Francis
We consider a class of nonlinear stochastic systems with square-root nonlinearities
appearing in the diffusion terms. The optimal control problems with indefinite quadratic …

A leader-follower stochastic linear quadratic differential game with time delay

J Xu, J Shi, H Zhang - Science China Information Sciences, 2018 - Springer
In this paper, we are concerned with the leader-follower stochastic differential game of Itô
type with time delay appearing in the leader's control. The open-loop solution is explicitly …