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STABLE DETERMINATION OF A VECTOR FIELD IN A NON-SELF-ADJOINT DYNAMICAL SCHRODINGER EQUATION ON RIEMANNIAN MANIFOLDS

期刊: MATHEMATICAL CONTROL AND RELATED FIELDS, 2021; 11 (2)

This paper deals with an inverse problem for a non-self-adjoint Schrodinger equation on a compact Riemannian manifold. Our goal is to stably determine......

GENERAL STABILITY OF ABSTRACT THERMOELASTIC SYSTEM WITH INFINITE MEMORY AND DELAY

期刊: MATHEMATICAL CONTROL AND RELATED FIELDS, 2021; 11 (2)

In this paper we study an abstract thermoelastic system in Hilbert space with infinite memory and time delay. Under some suitable conditions, we prove......

ON SWITCHING PROPERTIES OF TIME OPTIMAL CONTROLS FOR LINEAR ODES

期刊: MATHEMATICAL CONTROL AND RELATED FIELDS, 2021; 11 (2)

In this paper, we present some properties of time optimal controls for linear ODEs with the ball-type control constraint. More precisely, given an opt......

A STOCHASTIC OPTIMAL CONTROL PROBLEM GOVERNED BY SPDES VIA A SPATIAL-TEMPORAL INTERACTION OPERATOR

期刊: MATHEMATICAL CONTROL AND RELATED FIELDS, 2021; 11 (2)

In this paper, we first introduce a new spatial-temporal interaction operator to describe the space-time dependent phenomena. Then we consider the sto......

NONZERO-SUM DIFFERENTIAL GAME OF BACKWARD DOUBLY STOCHASTIC SYSTEMS WITH DELAY AND APPLICATIONS

期刊: MATHEMATICAL CONTROL AND RELATED FIELDS, 2021; 11 (1)

This paper is concerned with a kind of nonzero-sum differential game of backward doubly stochastic system with delay, in which the state dynamics foll......

MEAN-FIELD STOCHASTIC LINEAR-QUADRATIC OPTIMAL CONTROL PROBLEMS: WEAK CLOSED-LOOP SOLVABILITY

期刊: MATHEMATICAL CONTROL AND RELATED FIELDS, 2021; 11 (1)

This paper is concerned with mean-field stochastic linear-quadratic (MF-SLQ, for short) optimal control problems with deterministic coefficients. The ......

LINEAR-QUADRATIC-GAUSSIAN MEAN-FIELD-GAME WITH PARTIAL OBSERVATION AND COMMON NOISE

期刊: MATHEMATICAL CONTROL AND RELATED FIELDS, 2021; 11 (1)

This paper considers a class of linear-quadratic-Gaussian (LQG) mean-field games (MFGs) with partial observation structure for individual agents. Unli......

OPTIMAL DIVIDEND POLICY IN AN INSURANCE COMPANY WITH CONTAGIOUS ARRIVALS OF CLAIMS

期刊: MATHEMATICAL CONTROL AND RELATED FIELDS, 2021; 11 (1)

In this paper we consider the optimal dividend problem for an insurance company whose surplus follows a classical Cramer-Lundberg process with a featu......

NON-EXPONENTIAL DISCOUNTING PORTFOLIO MANAGEMENT WITH HABIT FORMATION

期刊: MATHEMATICAL CONTROL AND RELATED FIELDS, 2020; 10 (4)

This paper studies the portfolio management problem for an individual with a non-exponential discount function and habit formation in finite time. The......

SWITCHING CONTROLS FOR LINEAR STOCHASTIC DIFFERENTIAL SYSTEMS

期刊: MATHEMATICAL CONTROL AND RELATED FIELDS, 2020; 10 (2)

We analyze the exact controllability problem of switching controls for stochastic control systems endowed with different actuators. The goal is to con......

NECESSARY CONDITION FOR OPTIMAL CONTROL OF DOUBLY STOCHASTIC SYSTEMS

期刊: MATHEMATICAL CONTROL AND RELATED FIELDS, 2020; 10 (2)

The aim of this paper is to establish a necessary condition for optimal stochastic controls where the systems governed by forward-backward doubly stoc......

OPTIMAL INVESTMENT PROBLEM WITH DELAY UNDER PARTIAL INFORMATION

期刊: MATHEMATICAL CONTROL AND RELATED FIELDS, 2020; 10 (2)

In this paper, we investigate the optimal investment problem in the presence of delay under partial information. We assume that the financial market c......

FREE BOUNDARIES OF CREDIT RATING MIGRATION IN SWITCHING MACRO REGIONS

期刊: MATHEMATICAL CONTROL AND RELATED FIELDS, 2020; 10 (2)

In this paper, under the structure framework, a valuation model for a corporate bond with credit rating migration risk and in macro regime switch is e......

CONTROLLABILITY PROPERTIES OF DEGENERATE PSEUDO-PARABOLIC BOUNDARY CONTROL PROBLEMS

期刊: MATHEMATICAL CONTROL AND RELATED FIELDS, 2020; 10 (1)

This paper concerns with the boundary control of a degenerate pseudo-parabolic equation. Compare to the results those for degenerate parabolic equatio......

REGIONAL GRADIENT CONTROLLABILITY OF ULTRA-SLOW DIFFUSIONS INVOLVING THE HADAMARD-CAPUTO TIME FRACTIONAL DERIVATIVE

期刊: MATHEMATICAL CONTROL AND RELATED FIELDS, 2020; 10 (1)

This paper investigates the regional gradient controllability for ultra-slow diffusion processes governed by the time fractional diffusion systems wit......

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