Convex Formulations of Data Assimilation Problems for a Class of Hamilton-Jacobi Equations
暂无分享,去创建一个
[1] C. Dafermos. Polygonal approximations of solutions of the initial value problem for a conservation law , 1972 .
[2] Ahmad H. Dehwah,et al. Analytical and grid-free solutions to the Lighthill-Whitham-Richards traffic flow model , 2011 .
[3] L.M.H. van Zuilichem. Performance Measurement System , 2018, Strategic Analytics.
[4] Stephen P. Boyd,et al. Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.
[5] H. Frankowska. Lower semicontinuous solutions of Hamilton-Jacobi-Bellman equations , 1993 .
[6] Alexandre M. Bayen,et al. Lax–Hopf Based Incorporation of Internal Boundary Conditions Into Hamilton–Jacobi Equation. Part I: Theory , 2010, IEEE Transactions on Automatic Control.
[7] Alexandre M. Bayen,et al. Evaluation of traffic data obtained via GPS-enabled mobile phones: The Mobile Century field experiment , 2009 .
[8] P. Lions,et al. Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations. , 1984 .
[9] Jean-Pierre Aubin,et al. Dirichlet problems for some Hamilton-Jacobi equations with inequality constraints , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.
[10] R. Tyrrell Rockafellar,et al. Convex Analysis , 1970, Princeton Landmarks in Mathematics and Physics.
[11] G. Evensen. Data Assimilation: The Ensemble Kalman Filter , 2006 .
[12] C. Daganzo. THE CELL TRANSMISSION MODEL.. , 1994 .
[13] Alexandre M. Bayen,et al. Lax–Hopf Based Incorporation of Internal Boundary Conditions Into Hamilton-Jacobi Equation. Part II: Computational Methods , 2010, IEEE Transactions on Automatic Control.
[14] C. Daganzo. A variational formulation of kinematic waves: basic theory and complex boundary conditions , 2005 .
[15] David L Donoho,et al. Compressed sensing , 2006, IEEE Transactions on Information Theory.
[16] A. Bayen,et al. Minimal error certificates for detection of faulty sensors using convex optimization , 2009, 2009 47th Annual Allerton Conference on Communication, Control, and Computing (Allerton).
[17] P. I. Richards. Shock Waves on the Highway , 1956 .
[18] Hélène Frankowska,et al. ON LeFLOCH'S SOLUTIONS TO THE INITIAL-BOUNDARY VALUE PROBLEM FOR SCALAR CONSERVATION LAWS , 2010 .
[19] A. Lewis,et al. Error Bounds for Convex Inequality Systems , 1998 .
[20] A. Bayen,et al. A traffic model for velocity data assimilation , 2010 .
[21] C. M. Crowe,et al. Data reconciliation — Progress and challenges , 1996 .
[22] M. Bardi,et al. Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations , 1997 .
[23] H. Holden,et al. Front Tracking for Hyperbolic Conservation Laws , 2002 .
[24] R. Newcomb. VISCOSITY SOLUTIONS OF HAMILTON-JACOBI EQUATIONS , 2010 .
[25] Pravin Varaiya. Reducing Highway Congestion: An Empirical Approach , 2005, Eur. J. Control.
[26] E. Barron,et al. Semicontinuous Viscosity Solutions For Hamilton–Jacobi Equations With Convex Hamiltonians , 1990 .
[27] I. Bohachevsky,et al. Finite difference method for numerical computation of discontinuous solutions of the equations of fluid dynamics , 1959 .
[28] Jean-Pierre Aubin,et al. Viability theory , 1991 .
[29] Alberto Bemporad,et al. Observability and controllability of piecewise affine and hybrid systems , 2000, IEEE Trans. Autom. Control..
[30] A. Bressan. Hyperbolic systems of conservation laws : the one-dimensional Cauchy problem , 2000 .
[31] Carlos F. Daganzo,et al. On the variational theory of traffic flow: well-posedness, duality and applications , 2006, Networks Heterog. Media.