Pub Date : 2015-01-01DOI: 10.1007/978-3-319-27200-9_5
Vangipuram Lakshmikantham, Srinivasa Leela, Anatoly A. Martynyuk
{"title":"Stability In The Models of Real World Phenomena","authors":"Vangipuram Lakshmikantham, Srinivasa Leela, Anatoly A. Martynyuk","doi":"10.1007/978-3-319-27200-9_5","DOIUrl":"https://doi.org/10.1007/978-3-319-27200-9_5","url":null,"abstract":"","PeriodicalId":40023,"journal":{"name":"Nonlinear Dynamics and Systems Theory","volume":"59 5","pages":"253-309"},"PeriodicalIF":0.0,"publicationDate":"2015-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51013646","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 : 2010-01-01DOI: 10.6092/UNIBO/AMSACTA/4563
D. Dragone, L. Lambertini, G. Leitmann, A. Palestini
We model a dynamic monopoly with environmental externalities,investigating the adoption of a tax levied on the firm's instantaneous contribution to the accumulation of pollution. The latter process is subject to a shock, which is i.i.d. across instants. We prove the existence of an optimal tax rate such that the monopoly replicates the same steady state welfare level as under social planning. Yet, the corresponding output level, R&D investment for environmental friendly technologies and surplus distribution necessarily differ from the socially optimal ones.
{"title":"A Stochastic Optimal Control Model of Pollution Abatement","authors":"D. Dragone, L. Lambertini, G. Leitmann, A. Palestini","doi":"10.6092/UNIBO/AMSACTA/4563","DOIUrl":"https://doi.org/10.6092/UNIBO/AMSACTA/4563","url":null,"abstract":"We model a dynamic monopoly with environmental externalities,investigating the adoption of a tax levied on the firm's instantaneous contribution to the accumulation of pollution. The latter process is subject to a shock, which is i.i.d. across instants. We prove the existence of an optimal tax rate such that the monopoly replicates the same steady state welfare level as under social planning. Yet, the corresponding output level, R&D investment for environmental friendly technologies and surplus distribution necessarily differ from the socially optimal ones.","PeriodicalId":40023,"journal":{"name":"Nonlinear Dynamics and Systems Theory","volume":"10 1","pages":"117-124"},"PeriodicalIF":0.0,"publicationDate":"2010-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71269078","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 : 2006-03-01DOI: 10.3182/20050703-6-CZ-1902.01549
G. Zhai, Masaharu Yoshida, J. Imae, Tomoaki Kobayashi
This paper considers a decentralized H2 control problem for multichannel linear time-invariant (LTI) descriptor systems. Our interest is to design a low order dynamic output feedback controller. The control problem is reduced to a feasibility problem of a bilinear matrix inequality (BMI) with respect to variables of a coefficient matrix defining the controller, a Lyapunov matrix and a matrix related to the descriptor matrix. Under a matching condition between the descriptor matrix and the measurement output matrix (or the control input matrix), we propose to set the Lyapunov matrix in the BMI as block diagonal appropriately so that the BMI is reduced to LMIs.
{"title":"Decentralized H2 Controller Design for Descriptor Systems: An LMI Approach;","authors":"G. Zhai, Masaharu Yoshida, J. Imae, Tomoaki Kobayashi","doi":"10.3182/20050703-6-CZ-1902.01549","DOIUrl":"https://doi.org/10.3182/20050703-6-CZ-1902.01549","url":null,"abstract":"This paper considers a decentralized H2 control problem for multichannel linear time-invariant (LTI) descriptor systems. Our interest is to design a low order dynamic output feedback controller. The control problem is reduced to a feasibility problem of a bilinear matrix inequality (BMI) with respect to variables of a coefficient matrix defining the controller, a Lyapunov matrix and a matrix related to the descriptor matrix. Under a matching condition between the descriptor matrix and the measurement output matrix (or the control input matrix), we propose to set the Lyapunov matrix in the BMI as block diagonal appropriately so that the BMI is reduced to LMIs.","PeriodicalId":40023,"journal":{"name":"Nonlinear Dynamics and Systems Theory","volume":"6 1","pages":"98-108"},"PeriodicalIF":0.0,"publicationDate":"2006-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.3182/20050703-6-CZ-1902.01549","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69506611","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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