{"title":"Achieving unanimous opinions in signed social networks","authors":"C. Altafini, Gabriele Lini","doi":"10.1109/ECC.2014.6862161","DOIUrl":"https://doi.org/10.1109/ECC.2014.6862161","url":null,"abstract":"Being able to predict the outcome of an opinion forming process is an important problem in social network theory. However, even for linear dynamics, this becomes a difficult task as soon as non-cooperative interactions are taken into account. Such interactions are naturally modeled as negative weights on the adjacency matrix of the social network. In this paper we show how the Perron-Frobenius theorem can be used for this task also beyond its standard formulation for cooperative systems. In particular we show how it is possible to associate the achievement of unanimous opinions with the existence of invariant cones properly contained in the positive orthant. These cases correspond to signed adjacency matrices having the eventual positivity property, i.e., such that in sufficiently high powers all negative entries have disappeared. More generally, we show how for social networks the achievement of a, possibily non-unanimous, opinion can be associated to the existence of an invariant cone fully contained in one of the orthants of ℝn.","PeriodicalId":251538,"journal":{"name":"2014 European Control Conference (ECC)","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122319015","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}
{"title":"Chaos in a fractional-order cancer system","authors":"I. N’Doye, H. Voos, M. Darouach","doi":"10.1109/ECC.2014.6862202","DOIUrl":"https://doi.org/10.1109/ECC.2014.6862202","url":null,"abstract":"This paper deals with the fractional-order cancer system. It is based on the chaotic system concept, where the mathematical model of system contains fractional-order derivatives. We develop a fractional-order dynamical model of cancer growth, which includes the interactions between healthy tissue cells, tumor cells, and activated immune system cells, clearly leading to chaotic behavior. We perform equilibrium point analysis, indicate the conditions where chaotic dynamics can be observed, and show the existence of chaos. The behavior and stability analysis of the integer-order and the fractional commensurate and non-commensurate order cancer system with total order less than 3, which exhibits chaos, are presented as well.","PeriodicalId":251538,"journal":{"name":"2014 European Control Conference (ECC)","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122651930","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}
{"title":"Real-time gene newtorks control in microfluidics","authors":"F. Menolascina","doi":"10.1109/ECC.2014.6862646","DOIUrl":"https://doi.org/10.1109/ECC.2014.6862646","url":null,"abstract":"This tutorial paper presents two examples of invivo real-time control of gene regulatory networks in the eukaryote S. cerevisiae (baker's yeast). I discuss the theoretical and experimental challenges this problem poses and describe a microfluidics-based platform to address them. The results obtained using this setup demonstrate the proposed approach is both feasible and capable of achieving superior performances.","PeriodicalId":251538,"journal":{"name":"2014 European Control Conference (ECC)","volume":"81 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122967738","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}
{"title":"Measurable disturbance rejection with stability in continuous-time switched linear systems under dwell-time switching","authors":"E. Zattoni","doi":"10.1109/ECC.2014.6862247","DOIUrl":"https://doi.org/10.1109/ECC.2014.6862247","url":null,"abstract":"This work deals with rejection of disturbance inputs accessible for measurement in continuous-time switched linear systems with dwell-time constraints on the switching signals. The measurable disturbance rejection problem is stated as the problem of finding a dynamic feedforward switched compensator achieving zero output and exponential stability of the compensated switched linear system over a class of switching signals with a sufficiently large dwell-time, in the presence of any admissible measurable disturbance input. The synthesis of the compensator is based on a pair of sufficient conditions which respectively address the structural issue and the stabilizability issue. The former condition is expressed in geometric terms as the inclusion of the image of the disturbance input matrix in the sum of the so-called maximal robust controlled invariant subspace and the image of the control input matrix, for all the modes of the given switched system. The second condition is expressed as the exponential stabilizability under dwell-time switching of the internal switched dynamics of the maximal robust controlled invariant subspace.","PeriodicalId":251538,"journal":{"name":"2014 European Control Conference (ECC)","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114385506","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}
R. Morita, T. Wada, I. Masubuchi, T. Asai, Y. Fujisaki
{"title":"Multi-agent consensus with noisy communication via time averaging","authors":"R. Morita, T. Wada, I. Masubuchi, T. Asai, Y. Fujisaki","doi":"10.1109/ECC.2014.6862595","DOIUrl":"https://doi.org/10.1109/ECC.2014.6862595","url":null,"abstract":"A stochastic approximation with averaging is applied to a consensus algorithm for multi-agent systems and the convergence of the algorithm is analyzed. The consensus is considered with respect to the time average of the states of agents. For the fixed network structure and time-varying structure, the relation between the number of iterations of the algorithm and consensus accuracy is explicitly clarified. Finally a numerical example is shown and a presented theorem is demonstrated.","PeriodicalId":251538,"journal":{"name":"2014 European Control Conference (ECC)","volume":"131 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114494696","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}
{"title":"Network consensus under distributed transmission delays","authors":"F. Atay","doi":"10.1109/ECC.2014.6862593","DOIUrl":"https://doi.org/10.1109/ECC.2014.6862593","url":null,"abstract":"We study the linear consensus problem in weighted and directed networks under signal transmission delays. In contrast to signal processing delays, the average of the initial conditions is not an invariant of the dynamics. Consequently, the consensus value depends on the delay distribution. On the other hand, the condition for convergence to consensus does not depend on delays but requires the existence of a directed spanning tree in the network. We consider both discrete and distributed delays and for each case calculate the consensus value explicitly.","PeriodicalId":251538,"journal":{"name":"2014 European Control Conference (ECC)","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122231819","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}
{"title":"Integrated traffic flow and emission control based on FASTLANE and the multi-class VT-macro model","authors":"Shuai Liu, B. Schutter, H. Hellendoorn","doi":"10.1109/ECC.2014.6862168","DOIUrl":"https://doi.org/10.1109/ECC.2014.6862168","url":null,"abstract":"The main goal of this paper is to develop a multi-class traffic flow and emission model that is suited for on-line model-based control. Multi-class traffic flow and emission models take into account the heterogeneous nature of traffic networks. In comparison with single-class models, these models are more accurate. Using more accurate model results in better description of the traffic network. However, this also leads to lower a computation speed when the model is used for on-line model-based control. FASTLANE is a first-order multi-class traffic flow model that is faster than second-order models (such as METANET). However, FASTLANE does not yet describe emission and fuel consumption. Therefore, we propose to integrate FASTLANE with the VT-macro emission model. This results in a combined FASTLANE and multi-class VT-macro model that describes multi-class traffic flows and emissions and that yields a balanced trade-off between the accuracy and the computation speed. On-line model predictive control is used to obtain a balanced optimization of the total time spent and the total emissions. A case study is implemented to validate the efficiency of the new integrated FASTLANE and multi-class VT-macro model. The simulation results indicate that considering the heterogeneous nature of multi-class traffic leads to a better control performance than single-class models.","PeriodicalId":251538,"journal":{"name":"2014 European Control Conference (ECC)","volume":"115 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116595090","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}
{"title":"Robust control design for a perimeter traffic flow controller at an urban region","authors":"Arie Shraiber, Jack Haddad","doi":"10.1109/ECC.2014.6862193","DOIUrl":"https://doi.org/10.1109/ECC.2014.6862193","url":null,"abstract":"Recent works have introduced perimeter feedback-control strategies for a homogenous urban region and multiple urban regions with the help of the macroscopic fundamental diagram (MFD) representation, that relates average flow and density (or accumulation) across the network. The perimeter controller is located on the region border, and manipulates the transfer flows across the border, while aiming at regulating around (nearby) the critical densities or accumulations, whereby the system throughput is maximized. While in the one urban region system the desired state is known in advance (given the MFD shape), for the system with multiple urban regions the desired accumulation points are not well known. Moreover, in some traffic scenarios the controller cannot regulate around the critical accumulations, e.g. because of high demand. In this paper, a robust perimeter controller for an urban region is designed. The controller aims at satisfying the control specifications and having a good performance for the whole accumulation set, uncongested and congested accumulations, and not necessary for a value range nearby the critical accumulation set-point. Moreover, unlike previous works, the robust controller is also designed to handle the control constraint within the design level in a systematic way, where the constraints are explicitly integrated utilizing the so-called describing function. Comparison results show that the performances of the robust controller are significantly better than a “standard” feedback controller, for different traffic scenarios.","PeriodicalId":251538,"journal":{"name":"2014 European Control Conference (ECC)","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117077378","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}
{"title":"Currents' Physical Components (CPC) in the time-domain: Single-phase systems","authors":"D. Jeltsema, J. Woude","doi":"10.1109/ECC.2014.6862327","DOIUrl":"https://doi.org/10.1109/ECC.2014.6862327","url":null,"abstract":"This paper presents a time-domain derivation of the Currents' Physical Components (CPC) power theory using standard results from mathematical systems theory. Consequently, piece-wise continuous currents and voltages, such as square waves and sawtooth signals, can naturally be taken into account without approximating them by a finite number of harmonics. The results are illustrated using two electrical circuits that have been used in the literature to reveal the need for a proper power decomposition.","PeriodicalId":251538,"journal":{"name":"2014 European Control Conference (ECC)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129416932","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}
{"title":"Linear third order inclusions: the adjacent vector","authors":"N. Barabanov","doi":"10.1109/ECC.2014.6862542","DOIUrl":"https://doi.org/10.1109/ECC.2014.6862542","url":null,"abstract":"Stability of linear inclusions arising in absolute stability problem for control systems with one sector nonlinearity is studied. It is shown that asymptotic stability of this inclusion is equivalent to asymptotic stability of special three dimensional autonomous system with switches at points with zero output and at points orthogonal to a special vector, which is called the adjacent vector. The Lyapunov exponent of each nonzero solution of corresponding autonomous system is proved to be equal to the Lyapunov exponent of the original linear inclusion. Thus, the result known for two dimensional inclusions is generalized to inclusions of dimension three.","PeriodicalId":251538,"journal":{"name":"2014 European Control Conference (ECC)","volume":"75 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128231033","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}