Sparse Stabilization and Control of Alignment Models
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Massimo Fornasier | Marco Caponigro | Benedetto Piccoli | Emmanuel Tr'elat | M. Fornasier | B. Piccoli | Emmanuel Tr'elat | M. Caponigro
[1] Roland Herzog,et al. Directional Sparsity in Optimal Control of Partial Differential Equations , 2012, SIAM J. Control. Optim..
[2] S. Smale,et al. On the mathematics of emergence , 2007 .
[3] M. Mew. A black swan? , 2009, BDJ.
[4] Robin J. Evans,et al. Feedback Control Under Data Rate Constraints: An Overview , 2007, Proceedings of the IEEE.
[5] Craig W. Reynolds. Flocks, herds, and schools: a distributed behavioral model , 1987, SIGGRAPH.
[6] Emmanuel Trélat,et al. Convergence Results for Smooth Regularizations of Hybrid Nonlinear Optimal Control Problems , 2011, SIAM J. Control. Optim..
[7] W. L. Romey. Individual differences make a difference in the trajectories of simulated schools of fish , 1996 .
[8] Vicsek,et al. Novel type of phase transition in a system of self-driven particles. , 1995, Physical review letters.
[9] C. Patlak. Random walk with persistence and external bias , 1953 .
[10] Emmanuel Trélat,et al. GLOBAL STEADY-STATE STABILIZATION AND CONTROLLABILITY OF 1D SEMILINEAR WAVE EQUATIONS , 2006 .
[11] O. Scherzer. Handbook of mathematical methods in imaging , 2011 .
[12] M. Fornasier,et al. Mean-Field Optimal Control , 2013, 1306.5913.
[13] Marie-Therese Wolfram,et al. On a mean field game approach modeling congestion and aversion in pedestrian crowds , 2011 .
[14] G. Parisi,et al. Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study , 2007, Proceedings of the National Academy of Sciences.
[15] Vladimir Borisov,et al. Theory of Chattering Control , 1994 .
[16] Peter E. Caines,et al. Mean Field Analysis of Controlled Cucker-Smale Type Flocking: Linear Analysis and Perturbation Equations , 2011 .
[17] Naomi Ehrich Leonard,et al. Virtual leaders, artificial potentials and coordinated control of groups , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).
[18] Benedetto Piccoli,et al. Multiscale Modeling of Granular Flows with Application to Crowd Dynamics , 2010, Multiscale Model. Simul..
[19] Karl Kunisch,et al. Approximation of Elliptic Control Problems in Measure Spaces with Sparse Solutions , 2012, SIAM J. Control. Optim..
[20] Jacek Banasiak,et al. On a macroscopic limit of a kinetic model of alignment , 2012, 1207.2643.
[21] Juan Soler,et al. ON THE MATHEMATICAL THEORY OF THE DYNAMICS OF SWARMS VIEWED AS COMPLEX SYSTEMS , 2012 .
[22] Juan Soler,et al. ON THE ASYMPTOTIC THEORY FROM MICROSCOPIC TO MACROSCOPIC GROWING TISSUE MODELS: AN OVERVIEW WITH PERSPECTIVES , 2012 .
[23] M. Goresky,et al. Stratified Morse theory , 1988 .
[24] E. Novak,et al. Tractability of Multivariate Problems , 2008 .
[25] David L Donoho,et al. Compressed sensing , 2006, IEEE Transactions on Information Theory.
[26] Richard Bellman,et al. Introduction to the mathematical theory of control processes , 1967 .
[27] L. Edelstein-Keshet,et al. Complexity, pattern, and evolutionary trade-offs in animal aggregation. , 1999, Science.
[28] I. Couzin,et al. Effective leadership and decision-making in animal groups on the move , 2005, Nature.
[29] Eric Carlen,et al. Functional inequalities, thick tails and asymptotics for the critical mass Patlak–Keller–Segel model , 2010, 1009.0134.
[30] Sébastien Motsch,et al. Heterophilious Dynamics Enhances Consensus , 2013, SIAM Rev..
[31] L. Segel,et al. Initiation of slime mold aggregation viewed as an instability. , 1970, Journal of theoretical biology.
[32] Ken Sugawara,et al. Cooperative acceleration of task performance: foraging behavior of interacting multi-robots system , 1997 .
[33] Jie Lin,et al. Correction to "Coordination of groups of mobile autonomous agents using nearest neighbor rules" , 2003, IEEE Trans. Autom. Control..
[34] Massimo Fornasier,et al. Particle, kinetic, and hydrodynamic models of swarming , 2010 .
[35] Lamberto Cesari,et al. Optimization-Theory And Applications , 1983 .
[36] Emmanuel Trélat,et al. Global Steady-State Controllability of One-Dimensional Semilinear Heat Equations , 2004, SIAM J. Control. Optim..
[37] Andrea L. Bertozzi,et al. Multi-Vehicle Flocking: Scalability of Cooperative Control Algorithms using Pairwise Potentials , 2007, Proceedings 2007 IEEE International Conference on Robotics and Automation.
[38] Yonina C. Eldar,et al. Average Case Analysis of Multichannel Sparse Recovery Using Convex Relaxation , 2009, IEEE Transactions on Information Theory.
[39] E. Candès,et al. Stable signal recovery from incomplete and inaccurate measurements , 2005, math/0503066.
[40] D. Wishart. Introduction to the Mathematical Theory of Control Processes. Volume 1—Linear Equations and Quadratic Criteria , 1969 .
[41] T. Mann. The Black Swan , 1954 .
[42] K. Kunisch,et al. A duality-based approach to elliptic control problems in non-reflexive Banach spaces , 2011 .
[43] K. Painter,et al. A User's Guide to Pde Models for Chemotaxis , 2022 .
[44] Hiro-Sato Niwa. Self-organizing Dynamic Model of Fish Schooling , 1994 .
[45] Dirk Horstmann,et al. F ¨ Ur Mathematik in Den Naturwissenschaften Leipzig from 1970 until Present: the Keller-segel Model in Chemotaxis and Its Consequences from 1970 until Present: the Keller-segel Model in Chemotaxis and Its Consequences , 2022 .
[46] Boris Vexler,et al. A Priori Error Analysis for Discretization of Sparse Elliptic Optimal Control Problems in Measure Space , 2013, SIAM J. Control. Optim..
[47] James W. Minett,et al. Self-organization and selection in the emergence of vocabulary , 2002, Complex..
[48] S. Mallat. A wavelet tour of signal processing , 1998 .
[49] Massimo Fornasier,et al. Sparse stabilization of dynamical systems driven by attraction and avoidance forces , 2014, Networks Heterog. Media.
[50] I D Couzin,et al. Self-organized lane formation and optimized traffic flow in army ants , 2003, Proceedings of the Royal Society of London. Series B: Biological Sciences.
[51] Yu. S. Ledyaev,et al. Asymptotic controllability implies feedback stabilization , 1997, IEEE Trans. Autom. Control..
[52] Guy Theraulaz,et al. Self-Organization in Biological Systems , 2001, Princeton studies in complexity.
[53] 조준학,et al. Growth of human bronchial epithelial cells at an air-liquid interface alters the response to particle exposure , 2013, Particle and Fibre Toxicology.
[54] Nicola Bellomo,et al. On the dynamics of social conflicts: looking for the Black Swan , 2012, ArXiv.
[55] Naomi Ehrich Leonard,et al. Stabilization of Planar Collective Motion: All-to-All Communication , 2007, IEEE Transactions on Automatic Control.
[56] Felipe Cucker,et al. Emergent Behavior in Flocks , 2007, IEEE Transactions on Automatic Control.
[57] Peter E. Caines,et al. Synthesis of Cucker-Smale type flocking via Mean Field stochastic control theory: Nash equilibria , 2010, 2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton).
[58] Pedro Elosegui,et al. Extension of the Cucker-Smale Control Law to Space Flight Formations , 2009 .
[59] Seung-Yeal Ha,et al. A simple proof of the Cucker-Smale flocking dynamics and mean-field limit , 2009 .
[60] Lorenzo Pareschi,et al. Kinetic description of optimal control problems and applications to opinion consensus , 2014, 1401.7798.
[61] Felipe Cucker,et al. Modeling Language Evolution , 2004, Found. Comput. Math..
[62] Magnus Egerstedt,et al. Controllability of Multi-Agent Systems from a Graph-Theoretic Perspective , 2009, SIAM J. Control. Optim..
[63] J. Urry. Complexity , 2006, Interpreting Art.
[64] E. Novak,et al. Tractability of Multivariate Problems Volume II: Standard Information for Functionals , 2010 .
[65] H. Maurer,et al. On L1‐minimization in optimal control and applications to robotics , 2006 .
[66] Cécile Appert-Rolland,et al. Realistic following behaviors for crowd simulation , 2012, Comput. Graph. Forum.
[67] Massimo Fornasier,et al. Recovery Algorithms for Vector-Valued Data with Joint Sparsity Constraints , 2008, SIAM J. Numer. Anal..
[68] Seung-Yeal Ha,et al. Emergent Behavior of a Cucker-Smale Type Particle Model With Nonlinear Velocity Couplings , 2010, IEEE Transactions on Automatic Control.
[69] Gerd Wachsmuth,et al. Convergence and regularization results for optimal control problems with sparsity functional , 2011 .
[70] B. Perthame. Transport Equations in Biology , 2006 .
[71] L. S. Pontryagin,et al. Mathematical Theory of Optimal Processes , 1962 .
[72] Marshall F Chalverus,et al. The Black Swan: The Impact of the Highly Improbable , 2007 .
[73] I. Flügge-Lotz,et al. Investigation of Optimal Control With a Minimum-Fuel Consumption Criterion for a Fourth-Order Plant With Two Control Inputs; Synthesis of an Efficient Suboptimal Control , 1965 .
[74] Fritz Colonius,et al. Minimal Bit Rates and Entropy for Exponential Stabilization , 2012, SIAM J. Control. Optim..
[75] P. Lions,et al. Mean field games , 2007 .
[76] Jesús Rosado,et al. Asymptotic Flocking Dynamics for the Kinetic Cucker-Smale Model , 2010, SIAM J. Math. Anal..
[77] Karl Kunisch,et al. A measure space approach to optimal source placement , 2012, Comput. Optim. Appl..
[78] Giuseppe Toscani,et al. Kinetic equations modelling wealth redistribution: a comparison of approaches. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.
[79] P. Caines,et al. Individual and mass behaviour in large population stochastic wireless power control problems: centralized and Nash equilibrium solutions , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).
[80] E. Blum,et al. The Mathematical Theory of Optimal Processes. , 1963 .
[81] Cristiana J. Silva,et al. Smooth Regularization of Bang-Bang Optimal Control Problems , 2010, IEEE Transactions on Automatic Control.
[82] Tu,et al. Long-Range Order in a Two-Dimensional Dynamical XY Model: How Birds Fly Together. , 1995, Physical review letters.
[83] Stéphane Mallat,et al. A Wavelet Tour of Signal Processing - The Sparse Way, 3rd Edition , 2008 .
[84] Yongsik Kim,et al. APPLICATION OF FLOCKING MECHANISM TO THE MODELING OF STOCHASTIC VOLATILITY , 2013 .
[85] Georg Stadler,et al. Elliptic optimal control problems with L1-control cost and applications for the placement of control devices , 2009, Comput. Optim. Appl..
[86] Steven V. Viscido,et al. Self-Organized Fish Schools: An Examination of Emergent Properties , 2002, The Biological Bulletin.
[87] E. Tadmor,et al. From particle to kinetic and hydrodynamic descriptions of flocking , 2008, 0806.2182.
[88] Andrea L. Bertozzi,et al. c ○ World Scientific Publishing Company A STATISTICAL MODEL OF CRIMINAL BEHAVIOR , 2008 .
[89] Benedetto Piccoli,et al. Modeling self-organization in pedestrians and animal groups from macroscopic and microscopic viewpoints , 2009, 0906.4702.
[90] A. Czirók,et al. Collective Motion , 1999, physics/9902023.
[91] Cécile Appert-Rolland,et al. Traffic Instabilities in Self-Organized Pedestrian Crowds , 2012, PLoS Comput. Biol..
[92] J. A. Carrillo,et al. The derivation of swarming models: Mean-field limit and Wasserstein distances , 2013, 1304.5776.
[93] Christian A. Yates,et al. Inherent noise can facilitate coherence in collective swarm motion , 2009, Proceedings of the National Academy of Sciences.
[94] Felipe Cucker,et al. A General Collision-Avoiding Flocking Framework , 2011, IEEE Transactions on Automatic Control.