Pub Date : 2019-06-21DOI: 10.1137/1.9781611975758.3
E. Bernuau, Emmanuel Moulay, P. Coirault, Qing Hui
{"title":"Topological properties for compact stable attractors in ℝn","authors":"E. Bernuau, Emmanuel Moulay, P. Coirault, Qing Hui","doi":"10.1137/1.9781611975758.3","DOIUrl":"https://doi.org/10.1137/1.9781611975758.3","url":null,"abstract":"","PeriodicalId":115070,"journal":{"name":"2019 Proceedings of the Conference on Control and its Applications","volume":"74 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123215006","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}
Pub Date : 2019-01-01DOI: 10.1137/1.9781611975758.14
Danni Liu, Shiqing Jiang, Guomin Liu, Honghui Xiang, Zhigang Liu
{"title":"Detection and Control of Surface Scar of Aircraft Rivet Based on Image Processing","authors":"Danni Liu, Shiqing Jiang, Guomin Liu, Honghui Xiang, Zhigang Liu","doi":"10.1137/1.9781611975758.14","DOIUrl":"https://doi.org/10.1137/1.9781611975758.14","url":null,"abstract":"","PeriodicalId":115070,"journal":{"name":"2019 Proceedings of the Conference on Control and its Applications","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121039680","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}
Pub Date : 2019-01-01DOI: 10.1137/1.9781611975758.18
Can Chen, A. Surana, A. Bloch, I. Rajapakse
In this paper, we provide a system theoretic treatment of a new class of multilinear time invariant (MLTI) systems in which the states, inputs and outputs are tensors, and the system evolution is governed by multilinear operators. The MLTI system representation is based on the Einstein product and even-order paired tensors. There is a particular tensor unfolding which gives rise to an isomorphism from this tensor space to the general linear group, i.e. group of invertible matrices. By leveraging this unfolding operation, one can extend classical linear time invariant (LTI) system notions including stability, reachability and observability to MLTI systems. While the unfolding based formulation is a powerful theoretical construct, the computational advantages of MLTI systems can only be fully realized while working with the tensor form, where hidden patterns/structures (e.g. redundancy/correlations) can be exploited for efficient representations and computations. Along these lines, we establish new results which enable one to express tensor unfolding based stability, reachability and observability criteria in terms of more standard notions of tensor ranks/decompositions. In addition, we develop the generalized CANDECOMP/PARAFAC decomposition and tensor train decomposition based model reduction framework, which can significantly reduce the number of MLTI system parameters. Further, we provide a review of relevant tensor numerical methods to facilitate computations associated with MLTI systems without requiring unfolding. We demonstrate our framework with numerical examples.
{"title":"Multilinear Time Invariant System Theory","authors":"Can Chen, A. Surana, A. Bloch, I. Rajapakse","doi":"10.1137/1.9781611975758.18","DOIUrl":"https://doi.org/10.1137/1.9781611975758.18","url":null,"abstract":"In this paper, we provide a system theoretic treatment of a new class of multilinear time invariant (MLTI) systems in which the states, inputs and outputs are tensors, and the system evolution is governed by multilinear operators. The MLTI system representation is based on the Einstein product and even-order paired tensors. There is a particular tensor unfolding which gives rise to an isomorphism from this tensor space to the general linear group, i.e. group of invertible matrices. By leveraging this unfolding operation, one can extend classical linear time invariant (LTI) system notions including stability, reachability and observability to MLTI systems. While the unfolding based formulation is a powerful theoretical construct, the computational advantages of MLTI systems can only be fully realized while working with the tensor form, where hidden patterns/structures (e.g. redundancy/correlations) can be exploited for efficient representations and computations. Along these lines, we establish new results which enable one to express tensor unfolding based stability, reachability and observability criteria in terms of more standard notions of tensor ranks/decompositions. In addition, we develop the generalized CANDECOMP/PARAFAC decomposition and tensor train decomposition based model reduction framework, which can significantly reduce the number of MLTI system parameters. Further, we provide a review of relevant tensor numerical methods to facilitate computations associated with MLTI systems without requiring unfolding. We demonstrate our framework with numerical examples.","PeriodicalId":115070,"journal":{"name":"2019 Proceedings of the Conference on Control and its Applications","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133258978","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}
Pub Date : 2019-01-01DOI: 10.1137/1.9781611975758.8
Yu Zhou, R. Fang, Pengfei Liu, Kai Liu
{"title":"Deep Convolutional Neural Network for Motion Deblurring","authors":"Yu Zhou, R. Fang, Pengfei Liu, Kai Liu","doi":"10.1137/1.9781611975758.8","DOIUrl":"https://doi.org/10.1137/1.9781611975758.8","url":null,"abstract":"","PeriodicalId":115070,"journal":{"name":"2019 Proceedings of the Conference on Control and its Applications","volume":"69 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133561117","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}
Pub Date : 2019-01-01DOI: 10.1137/1.9781611975758.12
P. Dower, W. McEneaney, I. Yegorov
{"title":"Exploiting characteristics in stationary action problems","authors":"P. Dower, W. McEneaney, I. Yegorov","doi":"10.1137/1.9781611975758.12","DOIUrl":"https://doi.org/10.1137/1.9781611975758.12","url":null,"abstract":"","PeriodicalId":115070,"journal":{"name":"2019 Proceedings of the Conference on Control and its Applications","volume":"65 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122806633","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}
Pub Date : 2019-01-01DOI: 10.1137/1.9781611975758.11
Dong Zhang, Shuxia Tang, S. Moura
{"title":"State and Disturbance Estimator for Unstable Reaction-Advection-Diffusion PDE with Boundary Disturbance","authors":"Dong Zhang, Shuxia Tang, S. Moura","doi":"10.1137/1.9781611975758.11","DOIUrl":"https://doi.org/10.1137/1.9781611975758.11","url":null,"abstract":"","PeriodicalId":115070,"journal":{"name":"2019 Proceedings of the Conference on Control and its Applications","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115273544","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}
Pub Date : 2019-01-01DOI: 10.1137/1.9781611975758.13
Ruobing Zhao, W. McEneaney
{"title":"Iterated Staticization and Efficient Solution of Conservative and Quantum Systems","authors":"Ruobing Zhao, W. McEneaney","doi":"10.1137/1.9781611975758.13","DOIUrl":"https://doi.org/10.1137/1.9781611975758.13","url":null,"abstract":"","PeriodicalId":115070,"journal":{"name":"2019 Proceedings of the Conference on Control and its Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121198909","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}
Pub Date : 2019-01-01DOI: 10.1137/1.9781611975758.7
Andreas Britzelmeier, Axel Dreves, M. Gerdts
{"title":"Numerical solution of potential games arising in the control of cooperative automatic vehicles","authors":"Andreas Britzelmeier, Axel Dreves, M. Gerdts","doi":"10.1137/1.9781611975758.7","DOIUrl":"https://doi.org/10.1137/1.9781611975758.7","url":null,"abstract":"","PeriodicalId":115070,"journal":{"name":"2019 Proceedings of the Conference on Control and its Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123954655","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}
Pub Date : 2019-01-01DOI: 10.1137/1.9781611975758.17
Tao Pang, Yicong Yong
{"title":"A New Stochastic Model For Stock Price with Delay Effects","authors":"Tao Pang, Yicong Yong","doi":"10.1137/1.9781611975758.17","DOIUrl":"https://doi.org/10.1137/1.9781611975758.17","url":null,"abstract":"","PeriodicalId":115070,"journal":{"name":"2019 Proceedings of the Conference on Control and its Applications","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127379128","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}
Pub Date : 2019-01-01DOI: 10.1137/1.9781611975758.9
D. Ren
{"title":"An Optimal Consumption-Investment Problem on a Finite Horizon","authors":"D. Ren","doi":"10.1137/1.9781611975758.9","DOIUrl":"https://doi.org/10.1137/1.9781611975758.9","url":null,"abstract":"","PeriodicalId":115070,"journal":{"name":"2019 Proceedings of the Conference on Control and its Applications","volume":"1836 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129809253","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}
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