Sparse stabilization and optimal control of the Cucker-Smale model
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[1] G. G. Stokes. "J." , 1890, The New Yale Book of Quotations.
[2] C. Patlak. Random walk with persistence and external bias , 1953 .
[3] T. Mann. The Black Swan , 1954 .
[4] L. S. Pontryagin,et al. Mathematical Theory of Optimal Processes , 1962 .
[5] 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 .
[6] M. L. Chambers. The Mathematical Theory of Optimal Processes , 1965 .
[7] Richard Bellman,et al. Introduction to the mathematical theory of control processes , 1967 .
[8] D. Wishart. Introduction to the Mathematical Theory of Control Processes. Volume 1—Linear Equations and Quadratic Criteria , 1969 .
[9] L. Segel,et al. Initiation of slime mold aggregation viewed as an instability. , 1970, Journal of theoretical biology.
[10] Lamberto Cesari,et al. Optimization-Theory And Applications , 1983 .
[11] 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.
[12] Hiro-Sato Niwa. Self-organizing Dynamic Model of Fish Schooling , 1994 .
[13] M. I. Zelikin,et al. Theory of Chattering Control: with applications to Astronautics, Robotics, Economics, and Engineering , 1994 .
[14] Vladimir Borisov,et al. Theory of Chattering Control , 1994 .
[15] Tu,et al. Long-Range Order in a Two-Dimensional Dynamical XY Model: How Birds Fly Together. , 1995, Physical review letters.
[16] Vicsek,et al. Novel type of phase transition in a system of self-driven particles. , 1995, Physical review letters.
[17] W. L. Romey. Individual differences make a difference in the trajectories of simulated schools of fish , 1996 .
[18] Yu. S. Ledyaev,et al. Asymptotic controllability implies feedback stabilization , 1997, IEEE Trans. Autom. Control..
[19] Ken Sugawara,et al. Cooperative acceleration of task performance: foraging behavior of interacting multi-robots system , 1997 .
[20] S. Mallat. A wavelet tour of signal processing , 1998 .
[21] L. Edelstein-Keshet,et al. Complexity, pattern, and evolutionary trade-offs in animal aggregation. , 1999, Science.
[22] 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).
[23] Steven V. Viscido,et al. Self-Organized Fish Schools: An Examination of Emergent Properties , 2002, The Biological Bulletin.
[24] James W. Minett,et al. Self-organization and selection in the emergence of vocabulary , 2002, Complex..
[25] Jie Lin,et al. Correction to "Coordination of groups of mobile autonomous agents using nearest neighbor rules" , 2003, IEEE Trans. Autom. Control..
[26] 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 .
[27] Guy Theraulaz,et al. Self-Organization in Biological Systems , 2001, Princeton studies in complexity.
[28] 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.
[29] Jie Lin,et al. Coordination of groups of mobile autonomous agents using nearest neighbor rules , 2003, IEEE Trans. Autom. Control..
[30] Felipe Cucker,et al. Modeling Language Evolution , 2004, Found. Comput. Math..
[31] Emmanuel Trélat,et al. Global Steady-State Controllability of One-Dimensional Semilinear Heat Equations , 2004, SIAM J. Control. Optim..
[32] Emmanuel Trélat,et al. Contrôle optimal : théorie & applications , 2005 .
[33] E. Candès,et al. Stable signal recovery from incomplete and inaccurate measurements , 2005, math/0503066.
[34] I. Couzin,et al. Effective leadership and decision-making in animal groups on the move , 2005, Nature.
[35] J. Urry. Complexity , 2006, Interpreting Art.
[36] Emmanuel Trélat,et al. GLOBAL STEADY-STATE STABILIZATION AND CONTROLLABILITY OF 1D SEMILINEAR WAVE EQUATIONS , 2006 .
[37] B. Perthame. Transport Equations in Biology , 2006 .
[38] H. Maurer,et al. On L1‐minimization in optimal control and applications to robotics , 2006 .
[39] Naomi Ehrich Leonard,et al. Stabilization of Planar Collective Motion: All-to-All Communication , 2007, IEEE Transactions on Automatic Control.
[40] P. Lions,et al. Mean field games , 2007 .
[41] 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.
[42] Felipe Cucker,et al. Emergent Behavior in Flocks , 2007, IEEE Transactions on Automatic Control.
[43] S. Smale,et al. On the mathematics of emergence , 2007 .
[44] Stéphane Mallat,et al. A Wavelet Tour of Signal Processing - The Sparse Way, 3rd Edition , 2008 .
[45] Massimo Fornasier,et al. Recovery Algorithms for Vector-Valued Data with Joint Sparsity Constraints , 2008, SIAM J. Numer. Anal..
[46] Andrea L. Bertozzi,et al. c ○ World Scientific Publishing Company A STATISTICAL MODEL OF CRIMINAL BEHAVIOR , 2008 .
[47] Stphane Mallat,et al. A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way , 2008 .
[48] Giuseppe Toscani,et al. Kinetic equations modelling wealth redistribution: a comparison of approaches. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.
[49] 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.
[50] M. Mew. A black swan? , 2009, BDJ.
[51] Magnus Egerstedt,et al. Controllability of Multi-Agent Systems from a Graph-Theoretic Perspective , 2009, SIAM J. Control. Optim..
[52] Christian A. Yates,et al. Inherent noise can facilitate coherence in collective swarm motion , 2009, Proceedings of the National Academy of Sciences.
[53] Pedro Elosegui,et al. Extension of the Cucker-Smale Control Law to Space Flight Formations , 2009 .
[54] Georg Stadler,et al. Elliptic optimal control problems with L1-control cost and applications for the placement of control devices , 2009, Comput. Optim. Appl..
[55] Yonina C. Eldar,et al. Average Case Analysis of Multichannel Sparse Recovery Using Convex Relaxation , 2009, IEEE Transactions on Information Theory.
[56] Massimo Fornasier,et al. Particle, kinetic, and hydrodynamic models of swarming , 2010 .
[57] Benedetto Piccoli,et al. Modeling self-organization in pedestrians and animal groups from macroscopic and microscopic viewpoints , 2009, 0906.4702.
[58] Seung-Yeal Ha,et al. Emergent Behavior of a Cucker-Smale Type Particle Model With Nonlinear Velocity Couplings , 2010, IEEE Transactions on Automatic Control.
[59] Eric Carlen,et al. Functional inequalities, thick tails and asymptotics for the critical mass Patlak–Keller–Segel model , 2010, 1009.0134.
[60] K. Kunisch,et al. A duality-based approach to elliptic control problems in non-reflexive Banach spaces , 2011 .
[61] Benedetto Piccoli,et al. Multiscale Modeling of Granular Flows with Application to Crowd Dynamics , 2010, Multiscale Model. Simul..
[62] Gerd Wachsmuth,et al. Convergence and regularization results for optimal control problems with sparsity functional , 2011 .
[63] Marie-Therese Wolfram,et al. On a mean field game approach modeling congestion and aversion in pedestrian crowds , 2011 .
[64] O. Scherzer. Handbook of mathematical methods in imaging , 2011 .
[65] Cécile Appert-Rolland,et al. Traffic Instabilities in Self-Organized Pedestrian Crowds , 2012, PLoS Comput. Biol..
[66] Karl Kunisch,et al. Approximation of Elliptic Control Problems in Measure Spaces with Sparse Solutions , 2012, SIAM J. Control. Optim..
[67] Karl Kunisch,et al. A measure space approach to optimal source placement , 2012, Comput. Optim. Appl..
[68] Massimo Fornasier,et al. Sparse Stabilization and Control of the Cucker-Smale Model , 2012 .
[69] Cécile Appert-Rolland,et al. Realistic following behaviors for crowd simulation , 2012, Comput. Graph. Forum.
[70] Roland Herzog,et al. Directional Sparsity in Optimal Control of Partial Differential Equations , 2012, SIAM J. Control. Optim..
[71] Nicola Bellomo,et al. On the dynamics of social conflicts: looking for the Black Swan , 2012, ArXiv.
[72] E. Zuazua,et al. Optimal Observation of the One-dimensional Wave Equation , 2013 .
[73] Boris Vexler,et al. A Priori Error Analysis for Discretization of Sparse Elliptic Optimal Control Problems in Measure Space , 2013, SIAM J. Control. Optim..
[74] Enrique Zuazua,et al. Optimal location of controllers for the one-dimensional wave equation , 2013 .
[75] Enrique Zuazua,et al. Complexity and regularity of maximal energy domains for the wave equation with fixed initial data , 2015 .
[76] Otmar Scherzer,et al. Handbook of Mathematical Methods in Imaging , 2015, Handbook of Mathematical Methods in Imaging.
[77] S. Frick,et al. Compressed Sensing , 2014, Computer Vision, A Reference Guide.