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INFINITE HORIZON FORWARD-BACKWARD SDEs AND OPEN-LOOP OPTIMAL CONTROLS FOR STOCHASTIC LINEAR-QUADRATIC PROBLEMS WITH RANDOM COEFFICIENTS

期刊: SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021; 59 (4)

In this paper, we introduce a new infinite horizon domination-monotonicity framework. In this framework, by the method of continuation and some subtle......

A FREE BOUNDARY PROBLEM OF LIQUIDITY MANAGEMENT FOR OPTIMAL DIVIDEND AND INSURANCE IN FINITE HORIZON

期刊: SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021; 59 (4)

In this paper, we devote our attention to the liquidity and risk management of a firm who faces two types of risks: a Poisson risk that can be insured......

OPTIMAL TRACKING PORTFOLIO WITH A RATCHETING CAPITAL BENCHMARK

期刊: SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021; 59 (3)

This paper studies finite horizon portfolio management by optimally tracking a ratcheting capital benchmark process. It is assumed that the fund manag......

SPARSE OPTIMAL CONTROL OF A PHASE FIELD TUMOR MODEL WITH MECHANICAL EFFECTS

期刊: SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021; 59 (2)

In this paper, we study an optimal control problem for a macroscopic mechanical tumor model based on the phase field approach. The model couples a Cah......

NUMERICAL ESTIMATION OF A DIFFUSION COEFFICIENT IN SUBDIFFUSION

期刊: SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021; 59 (2)

In this work, we consider the numerical recovery of a spatially dependent diffusion coefficient in a subdiffusion model from distributed observations.......

STOCHASTIC INPUT-TO-STATE STABILITY OF IMPULSIVE STOCHASTIC NONLINEAR SYSTEMS IN INFINITE DIMENSIONS

期刊: SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021; 59 (4)

This paper studies the stochastic input-to-state stability (SISS) of a class of impulsive stochastic nonlinear systems in Hilbert spaces. By construct......

SWITCHED DYNAMIC SYSTEMS WITH LOGIC SWITCHING AND ITS STABILITY ANALYSIS

期刊: SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021; 59 (2)

In this paper, the stability problem for a class of switched dynamic systems with logic switching signals is investigated. Emphasis is placed on the s......

DISTRIBUTED CONSENSUS AND CONVERGENCE RATE ANALYSIS OF MULTIAGENT SYSTEMS WITH NOISES UNDER G-EXPECTATION

期刊: SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021; 59 (4)

In this paper we study a distributed consensus problem under the G-expectation. Each agent is with a first-order integrator dynamics and can only acce......

SOCIAL OPTIMA IN MEAN FIELD LINEAR-QUADRATIC-GAUSSIAN CONTROL WITH VOLATILITY UNCERTAINTY

期刊: SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021; 59 (2)

This paper examines mean field linear-quadratic-Gaussian social optimum control with volatility-uncertain common noise. The diffusion terms in the dyn......

OPTIMAL SINGULAR CONTROL PROBLEM IN INFINITE HORIZON FOR STOCHASTIC PROCESSES WITH REGIME-SWITCHING

期刊: SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021; 59 (2)

We develop the compactification method to prove the existence of an optimal control for multidimensional stochastic processes with regime-switching. W......

NONLINEAR QUASI-HEMIVARIATIONAL INEQUALITIES: EXISTENCE AND OPTIMAL CONTROL

期刊: SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021; 59 (2)

In this paper, we investigate a generalized nonlinear quasi-hemivariational inequality (QHI) involving a multivalued map in a Banach space. Under gene......

STABILITY ANALYSIS OF STOCHASTIC IMPULSIVE SWITCHED SYSTEMS WITH DETERMINISTIC STATE-DEPENDENT IMPULSES AND SWITCHES

期刊: SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021; 59 (3)

This paper studies stability of stochastic impulsive switched systems with deterministic state-dependent impulses and switches. Here, "deterministic s......

SWITCHING PROPERTIES OF TIME OPTIMAL CONTROLS FOR SYSTEMS OF HEAT EQUATIONS COUPLED BY CONSTANT MATRICES

期刊: SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021; 59 (2)

This paper studies the time optimal control problem for systems of heat equations coupled by a pair of constant matrices. The control constraint is of......

INFINITE HORIZON LINEAR QUADRATIC OVERTAKING OPTIMAL CONTROL PROBLEMS

期刊: SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021; 59 (2)

A linear control system with quadratic cost functional over infinite time horizon is considered without assuming a controllability/stabilizability con......

INFINITE-TIME ADMISSIBILITY AND EXACT OBSERVABILITY OF VOLTERRA SYSTEMS

期刊: SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021; 59 (2)

We study infinite-time admissibility and infinite-time exact observability of Volterra systems in Hilbert spaces using a Hardy space approach, with an......

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