SIAM Conf. on Control and its Applications最新文献_第6页

Analytical Study of Optimal Control Intervention Strategies for Ebola Epidemic Model 埃博拉疫情模型最优控制干预策略的分析研究

SIAM Conf. on Control and its Applications Pub Date : 1900-01-01 DOI: 10.1137/1.9781611974072.54

E. Grigorieva, E. Khailov

{"title":"Analytical Study of Optimal Control Intervention Strategies for Ebola Epidemic Model","authors":"E. Grigorieva, E. Khailov","doi":"10.1137/1.9781611974072.54","DOIUrl":"https://doi.org/10.1137/1.9781611974072.54","url":null,"abstract":"A SEIR type model for the spread of Ebola epidemic in a population of constant size is considered. In order to control the spread of infection and prevent such epidemics, we add to the model four bounded controls. Three of them represent the efforts that reduce the contact between the susceptible and infectious individuals, between the susceptible and hospitalized, and, lastly, between susceptible and buried individuals. The fourth control represents the burial efforts. We state the optimal control problem of minimizing the number of the infectious individuals at the given terminal time. The corresponding optimal solutions are obtained with the use of the Pontryagin maximum principle. Such values of the model parameters and control constraints are used, for which the optimal controls are bang-bang. Their types are found and investigated analytically. An approach for estimating the number of zeros of the corresponding switching functions, different from the one that was used in our previous papers, is applied. The resulting estimates enable us to reduce the optimal control problem to a considerably simpler problem of the finite-dimensional constrained minimization.","PeriodicalId":193106,"journal":{"name":"SIAM Conf. on Control and its Applications","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115154524","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 3

Stability issues in disturbance decoupling for switching linear systems 切换线性系统扰动解耦中的稳定性问题

SIAM Conf. on Control and its Applications Pub Date : 1900-01-01 DOI: 10.1137/1.9781611974072.50

E. Zattoni

引用次数: 5

Necessary Conditions for Feedback Passivation of Nonaffine-in-Control Systems 非仿射控制系统反馈钝化的必要条件

SIAM Conf. on Control and its Applications Pub Date : 1900-01-01 DOI: 10.1137/1.9781611973273.13

Anshu Narang-Siddarth, J. Valasek

引用次数: 3

Convex Methods for Rank-Constrained Optimization Problems 秩约束优化问题的凸方法

SIAM Conf. on Control and its Applications Pub Date : 1900-01-01 DOI: 10.1137/1.9781611974072.18

V. Mai, Dipankar Maity, B. Ramasubramanian, M. Rotkowitz

{"title":"Convex Methods for Rank-Constrained Optimization Problems","authors":"V. Mai, Dipankar Maity, B. Ramasubramanian, M. Rotkowitz","doi":"10.1137/1.9781611974072.18","DOIUrl":"https://doi.org/10.1137/1.9781611974072.18","url":null,"abstract":"This paper considers optimization problems which are convex, except for a constraint on the rank of a matrix variable. Minimizing or penalizing the nuclear norm of a matrix has proven to be an effective method for generally keeping its rank small, and a vast amount of recent work has focused on this technique; however, many problems require finding a matrix whose rank is constrained to be a particular value. We present a new method for these problems, introducing a convex constraint that forces the rank to be at least the desired value, while using the nuclear norm penalty to keep the rank from rising above that value. This results in a convex optimization problem that will attempt to satisfy the constraints, to minimize the objective, and will usually produce the desired rank. We further study the choice of parameter used with the nuclear norm penalty, both with and without the constraint. It is shown that another convex optimization problem can be formulated from the dual problem which will find the best parameter in some cases, and will still produce a useful result in other cases. We find that considering parameters which are negative, that is, considering rewarding the nuclear norm, as well as penalizing it, can result in better performance with the desired rank. The methods developed are demonstrated on rank-constrained semidefinite programming problems (SDPs). The first three authors contributed equally to this work. Department of Electrical and Computer Engineering and Institute for Systems Research, University of Maryland, College Park, MD 20740. email:vsmai@umd.edu Department of Electrical and Computer Engineering and Institute for Systems Research, University of Maryland, College Park, MD 20740. email:dmaity@umd.edu Department of Electrical and Computer Engineering and Institute for Systems Research, University of Maryland, College Park, MD 20740. email:rbhaskar@umd.edu Department of Electrical and Computer Engineering and Institute for Systems Research, University of Maryland, College Park, MD 20740. email:mcrotk@umd.edu","PeriodicalId":193106,"journal":{"name":"SIAM Conf. on Control and its Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126023825","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 8

Reduced-order Observer Design for Structure and Motion Estimation 结构与运动估计的降阶观测器设计

SIAM Conf. on Control and its Applications Pub Date : 1900-01-01 DOI: 10.1137/1.9781611973273.6

Hui Xie, R. T. Fomena, Alan Francis Lynch

引用次数: 1

The Wasserstein metric in Factor Analysis 因子分析中的Wasserstein度量

SIAM Conf. on Control and its Applications Pub Date : 1900-01-01 DOI: 10.1137/1.9781611973273.2

L. Ning, T. Georgiou

引用次数: 0

Aircraft Preliminary Design Using Nonlinear Inverse Dynamics 基于非线性逆动力学的飞机初步设计

SIAM Conf. on Control and its Applications Pub Date : 1900-01-01 DOI: 10.1137/1.9781611974072.41

Marco Torres-Reyna, D. Martinez-Vazquez, E. Licéaga-Castro

引用次数: 0

The Complexity of Uncertainty in Markov Decision Processes 马尔可夫决策过程中不确定性的复杂性

SIAM Conf. on Control and its Applications Pub Date : 1900-01-01 DOI: 10.1137/1.9781611974072.42

Dimitri Scheftelowitsch

引用次数: 1

Yield-Analysis of Different Coupling Schemes for Interconnected Bio-Reactors 互联生物反应器不同耦合方案的产率分析

SIAM Conf. on Control and its Applications Pub Date : 1900-01-01 DOI: 10.1137/1.9781611974072.53

W. Halter, Nico Kress, Konrad Otte, Sabrina Reich, B. Hauer, F. Allgöwer

引用次数: 0

Observer-Based Feedback Control of a Mathematical Model of Intimal Hyperplasia 基于观测器的内膜增生数学模型反馈控制

SIAM Conf. on Control and its Applications Pub Date : 1900-01-01 DOI: 10.1137/1.9781611973273.25

Jiacheng Wu, K. Cassel

引用次数: 1