SIAM Journal on Control and Optimization最新文献_第6页

A Reversible Investment Problem with Capacity and Demand in Finite Horizon: Free Boundary Analysis 有限地平线上有能力和需求的可逆投资问题：自由边界分析

IF 2.2 2区数学

SIAM Journal on Control and Optimization Pub Date : 2024-04-03 DOI: 10.1137/22m1469547

Xiaoru Han, Fahuai Yi, Jianbo Zhang

{"title":"A Reversible Investment Problem with Capacity and Demand in Finite Horizon: Free Boundary Analysis","authors":"Xiaoru Han, Fahuai Yi, Jianbo Zhang","doi":"10.1137/22m1469547","DOIUrl":"https://doi.org/10.1137/22m1469547","url":null,"abstract":"SIAM Journal on Control and Optimization, Volume 62, Issue 2, Page 1207-1234, April 2024. Abstract. This paper investigates a reversible investment problem with finite horizon, in which a social planner aims to determine the project’s capacity level to minimize the expected total costs. These costs depend on the demand for the good, the supply in terms of production capacity, and the proportional costs. The issue of irreversible investment has been examined by Han and Yi [Commun. Nonlinear Sci. Numer. Simul., 109 (2022), 106302]. Mathematically, the reversible investment problem can be formulated as a singular stochastic control problem. The value function satisfies a two-dimensional parabolic variational inequality subject to gradient constraint, which leads to two time-dependent free boundaries representing optimal investment and disinvestment strategies. We employ a partial differential equation approach to characterize the continuity, monotonicity, and horizontal asymptotes of free boundaries, as well as establish the [math] regularity of the value function. To the best of our knowledge, the approach to analyze the behavior of free boundaries is novel in the literature.","PeriodicalId":49531,"journal":{"name":"SIAM Journal on Control and Optimization","volume":"70 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140598722","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Exponential Stability for a Class of Discrete-Time Switched Systems and Its Applications to Multiagent Systems 一类离散时间切换系统的指数稳定性及其在多代理系统中的应用

IF 2.2 2区数学

SIAM Journal on Control and Optimization Pub Date : 2024-04-01 DOI: 10.1137/23m1546762

Tao Liu, Jie Huang

引用次数: 0

Markov Chain Approximation for Hamilton–Jacobi–Bellman Equation with Absorbing Boundary 有吸收边界的汉密尔顿-雅各比-贝尔曼方程的马尔可夫链近似法

IF 2.2 2区数学

SIAM Journal on Control and Optimization Pub Date : 2024-03-29 DOI: 10.1137/23m1565723

Itsuki Watanabe

引用次数: 0

Global Output-Feedback Control by Exploiting High-Gain Dynamic-Compensation Mechanisms 利用高增益动态补偿机制实现全局输出反馈控制

IF 2.2 2区数学

SIAM Journal on Control and Optimization Pub Date : 2024-03-26 DOI: 10.1137/22m1536303

Yuan Wang, Yungang Liu

{"title":"Global Output-Feedback Control by Exploiting High-Gain Dynamic-Compensation Mechanisms","authors":"Yuan Wang, Yungang Liu","doi":"10.1137/22m1536303","DOIUrl":"https://doi.org/10.1137/22m1536303","url":null,"abstract":"SIAM Journal on Control and Optimization, Volume 62, Issue 2, Page 1122-1151, April 2024. Abstract. Currently, output-feedback control still necessitates severe constraints on systems, e.g., system nonlinearities cannot exceed certain degree and uncertainties should belong to specific types. In this paper, by exploiting dynamic-compensation mechanisms, we essentially extend system nonlinearities and uncertainties. Specifically, the nonlinearities heavily rely on unmeasured states and particularly have unknown arbitrary function-of-output growth rates. Unknown control coefficients whether with known or unknown bounds are admitted, which have been excluded before in the context of such inclusive nonlinearities. The key to our novel solution lies in realizing the potential of filter-based observers, dynamic high gains, design/analysis parameter designation, and composite Lyapunov functions. In detail, two dynamic-high-gain filters are worked out to provide available states for controller design. The filter states, after weighted by the unknown control coefficient, also make up the estimated states which lead to control-free and tractable error dynamics. Two dynamic high gains with new dynamics are put forward to counteract the nonlinearities and uncertainties and, meanwhile, to enable the adaptive controller to own a concise structure. During the controller design, crucial design parameters can no longer be expressed explicitly due to unknown control coefficients, but rather need to be pursued through a recursive algorithm. With a set of analysis parameters, important (dynamic-high-gain) input-to-state stable properties of some vital variables are uncovered, and exhaustive Lyapunov analysis is performed for the closed-loop boundedness and convergence.","PeriodicalId":49531,"journal":{"name":"SIAM Journal on Control and Optimization","volume":"13 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140314814","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Consensus-Based Optimization for Saddle Point Problems 基于共识的鞍点问题优化

IF 2.2 2区数学

SIAM Journal on Control and Optimization Pub Date : 2024-03-25 DOI: 10.1137/22m1543367

Hui Huang, Jinniao Qiu, Konstantin Riedl

引用次数: 0

Convergence of Policy Gradient Methods for Finite-Horizon Exploratory Linear-Quadratic Control Problems 有限边界探索性线性-二次控制问题的政策梯度方法收敛性

IF 2.2 2区数学

SIAM Journal on Control and Optimization Pub Date : 2024-03-22 DOI: 10.1137/22m1533517

Michael Giegrich, Christoph Reisinger, Yufei Zhang

{"title":"Convergence of Policy Gradient Methods for Finite-Horizon Exploratory Linear-Quadratic Control Problems","authors":"Michael Giegrich, Christoph Reisinger, Yufei Zhang","doi":"10.1137/22m1533517","DOIUrl":"https://doi.org/10.1137/22m1533517","url":null,"abstract":"SIAM Journal on Control and Optimization, Volume 62, Issue 2, Page 1060-1092, April 2024. Abstract. We study the global linear convergence of policy gradient (PG) methods for finite-horizon continuous-time exploratory linear-quadratic control (LQC) problems. The setting includes stochastic LQC problems with indefinite costs and allows additional entropy regularizers in the objective. We consider a continuous-time Gaussian policy whose mean is linear in the state variable and whose covariance is state-independent. Contrary to discrete-time problems, the cost is noncoercive in the policy and not all descent directions lead to bounded iterates. We propose geometry-aware gradient descents for the mean and covariance of the policy using the Fisher geometry and the Bures–Wasserstein geometry, respectively. The policy iterates are shown to satisfy an a priori bound, and converge globally to the optimal policy with a linear rate. We further propose a novel PG method with discrete-time policies. The algorithm leverages the continuous-time analysis, and achieves a robust linear convergence across different action frequencies. A numerical experiment confirms the convergence and robustness of the proposed algorithm.","PeriodicalId":49531,"journal":{"name":"SIAM Journal on Control and Optimization","volume":"23 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140205599","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Control of a Linearized Viscous Liquid–Tank System with Surface Tension 带表面张力的线性化粘性液槽系统的控制

IF 2.2 2区数学

SIAM Journal on Control and Optimization Pub Date : 2024-03-21 DOI: 10.1137/23m158749x

Iasson Karafyllis, Miroslav Krstic

{"title":"Control of a Linearized Viscous Liquid–Tank System with Surface Tension","authors":"Iasson Karafyllis, Miroslav Krstic","doi":"10.1137/23m158749x","DOIUrl":"https://doi.org/10.1137/23m158749x","url":null,"abstract":"SIAM Journal on Control and Optimization, Volume 62, Issue 2, Page 1034-1059, April 2024. Abstract. This paper studies the linearization of the viscous tank–liquid system. The linearization of the tank–liquid system gives a high-order partial differential equation, which is a combination of a wave equation with Kelvin–Voigt damping and a Euler–Bernoulli beam equation. The single input appears in two of the boundary conditions (boundary input). The paper provides results both for the open-loop system (existence/uniqueness of solutions and stability properties of the open-loop system) as well as results for the construction of feedback stabilizers. More specifically, the feedback design methodology is based on control Lyapunov functionals (CLFs). The proposed CLFs are modifications and augmentations of the total energy functionals for the tank–liquid system so that the dissipative effects of viscosity, friction, and surface tension are captured. By focusing on the linearized water–tank system, we are able to provide results that are not provided in the nonlinear case: (1) existence and uniqueness of solutions, (2) simultaneous presence of friction and surface tension, and (3) stabilization in a stronger norm, using a different CLF.","PeriodicalId":49531,"journal":{"name":"SIAM Journal on Control and Optimization","volume":"30 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140201735","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Stabilization of Continuous-Time Probabilistic Logical Networks Under Sampling Dwell Time Constraints 采样停留时间限制下连续时间概率逻辑网络的稳定问题

IF 2.2 2区数学

SIAM Journal on Control and Optimization Pub Date : 2024-03-19 DOI: 10.1137/23m1566388

Lin Lin, James Lam, Min Meng, Xiaochen Xie, Panshuo Li, Daotong Zhang, Peng Shi

{"title":"Stabilization of Continuous-Time Probabilistic Logical Networks Under Sampling Dwell Time Constraints","authors":"Lin Lin, James Lam, Min Meng, Xiaochen Xie, Panshuo Li, Daotong Zhang, Peng Shi","doi":"10.1137/23m1566388","DOIUrl":"https://doi.org/10.1137/23m1566388","url":null,"abstract":"SIAM Journal on Control and Optimization, Volume 62, Issue 2, Page 1006-1033, April 2024. Abstract.This paper investigates the sampled-data stabilization of continuous-time probabilistic logical control networks (CT-PLCNs). CT-PLCNs can provide quantitative and accurate descriptions for the transient kinetics in comparing discrete-time probabilistic logical control networks (DT-PLCNs). First, CT-PLCNs are transformed into switched continuous-time probabilistic logical networks by regarding the control input as a switching signal. In this setup, CT-PLCNs can be classified into two types: one with stable modes and the other with only unstable modes. Then the concept of average [math]-sample dwell time is proposed to describe the scenario, where the dwell time of each mode is an integral multiple of the sampling period [math]. Based on this, the stabilization conditions for CT-PLCNs are established by restricting the sampling dwell time of controller modes. Furthermore, a copositive Lyapunov function is constructed for the case with stable modes and is discretized for the case without stable modes, providing a new framework for studying the stabilization of CT-PLCNs. Finally, a chemical model generated by GINsim is provided to demonstrate the feasibility of the obtained theoretical results. Overall, this paper provides new insights into the stabilization of CT-PLCNs and presents practical applications for chemical models.","PeriodicalId":49531,"journal":{"name":"SIAM Journal on Control and Optimization","volume":"26 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140298816","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Minimal Kullback–Leibler Divergence for Constrained Lévy–Itô Processes 受约束莱维-伊托过程的最小库尔巴克-莱伯勒发散性

IF 2.2 2区数学

SIAM Journal on Control and Optimization Pub Date : 2024-03-18 DOI: 10.1137/23m1555697

Sebastian Jaimungal, Silvana M. Pesenti, Leandro Sánchez-Betancourt

{"title":"Minimal Kullback–Leibler Divergence for Constrained Lévy–Itô Processes","authors":"Sebastian Jaimungal, Silvana M. Pesenti, Leandro Sánchez-Betancourt","doi":"10.1137/23m1555697","DOIUrl":"https://doi.org/10.1137/23m1555697","url":null,"abstract":"SIAM Journal on Control and Optimization, Volume 62, Issue 2, Page 982-1005, April 2024. Abstract. Given an [math]-dimensional stochastic process [math] driven by [math]-Brownian motions and Poisson random measures, we search for a probability measure [math], with minimal relative entropy to [math], such that the [math]-expectations of some terminal and running costs are constrained. We prove existence and uniqueness of the optimal probability measure, derive the explicit form of the measure change, and characterize the optimal drift and compensator adjustments under the optimal measure. We provide an analytical solution for Value-at-Risk (quantile) constraints, discuss how to perturb a Brownian motion to have arbitrary variance, and show that pinned measures arise as a limiting case of optimal measures. The results are illustrated in a risk management setting—including an algorithm to simulate under the optimal measure—and explore an example where an agent seeks to answer the question what dynamics are induced by a perturbation of the Value-at-Risk and the average time spent below a barrier on the reference process?","PeriodicalId":49531,"journal":{"name":"SIAM Journal on Control and Optimization","volume":"26 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140168841","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Stochastic Maximum Principle for Subdiffusions and Its Applications 子扩散的随机最大原则及其应用

IF 2.2 2区数学

SIAM Journal on Control and Optimization Pub Date : 2024-03-14 DOI: 10.1137/23m157168x

Shuaiqi Zhang, Zhen-Qing Chen

引用次数: 0