Martingale problems for conditional distributions of Markov processes.
Maximizing banking profit on a random time interval.
Maximum likelihood estimation for discrete-time processes with finite state space ; a linear case
Maximum principle for forward-backward doubly stochastic control systems and applications
The maximum principle for optimal control problems of fully coupled forward-backward doubly stochastic differential equations (FBDSDEs in short) in the global form is obtained, under the assumptions that the diffusion coefficients do not contain the control variable, but the control domain need not to be convex. We apply our stochastic maximum principle (SMP in short) to investigate the optimal control problems of a class of stochastic partial differential equations (SPDEs in short). And as an example...
Maximum principle for forward-backward doubly stochastic control systems and applications*
The maximum principle for optimal control problems of fully coupled forward-backward doubly stochastic differential equations (FBDSDEs in short) in the global form is obtained, under the assumptions that the diffusion coefficients do not contain the control variable, but the control domain need not to be convex. We apply our stochastic maximum principle (SMP in short) to investigate the optimal control problems of a class of stochastic partial differential equations (SPDEs in short). And as an...
Maximum principle for optimal control of fully coupled forward-backward stochastic differential delayed equations
This paper deals with the optimal control problem in which the controlled system is described by a fully coupled anticipated forward-backward stochastic differential delayed equation. The maximum principle for this problem is obtained under the assumption that the diffusion coefficient does not contain the control variables and the control domain is not necessarily convex. Both the necessary and sufficient conditions of optimality are proved. As illustrating examples, two kinds of linear quadratic...
Maximum process problems in optimal control theory.
Mean square summability of solution of stochastic difference second-kind Volterra equation with small nonlinearity.
Mean stability of a stochastic difference equation
A simple personal saving model with interest rate based on random fluctuation of national growth rate is considered. We establish connections between the mean stochastic stability of our model and the deterministic stability of related partial difference equations. Then the asymptotic behavior of our stochastic model is studied. Although the model is simple, the techniques for obtaining its properties are not, and we make use of the theory of abstract Banach algebras and weighted spaces. It is hoped...
Mean-variance optimal local reinsurance contracts
Memoryless solution to the optimal control problem for linear systems with delayed input
This note investigates the optimal control problem for a time-invariant linear systems with an arbitrary constant time-delay in in the input channel. A state feedback is provided for the infinite horizon case with a quadratic cost function. The solution is memoryless, except at an initial time interval of measure equal to the time-delay. If the initial input is set equal to zero, then the optimal feedback control law is memoryless from the beginning. Stability results are established for the closed...
Méthodes stochastiques de dualité
Methods for estimating vehicle queues at a marine terminal: a computational comparison
Minimax control of a linear system with multinomial disturbances
Minimax control of a multivariate time-continuous linear stochastic system
Minimax control of a stochastic system with disturbances belonging to the exponential family
Minimax control of a system which cannot be observed without error
Minimax control of a system with actuation errors
Minimax detection of signal in weighted Gaussian white noise.
Minimax LQG control
This paper presents an overview of some recent results concerning the emerging theory of minimax LQG control for uncertain systems with a relative entropy constraint uncertainty description. This is an important new robust control system design methodology providing minimax optimal performance in terms of a quadratic cost functional. The paper first considers some standard uncertainty descriptions to motivate the relative entropy constraint uncertainty description. The minimax LQG problem under...