Review on computational methods for Lyapunov functions P Giesl, S Hafstein Discrete and Continuous Dynamical Systems-B 20 (8), 2291-2331, 2015 | 286 | 2015 |
A high‐resolution cellular automata traffic simulation model with application in a freeway traffic information system SF Hafstein, R Chrobok, A Pottmeier, M Schreckenberg, F C. Mazur Computer‐Aided Civil and Infrastructure Engineering 19 (5), 338-350, 2004 | 96 | 2004 |
An algorithm for constructing Lyapunov functions SFH Hafstein Electronic Journal of Differential Equations, 08-101, 2009 | 89* | 2009 |
Revised CPA method to compute Lyapunov functions for nonlinear systems PA Giesl, SF Hafstein Journal of Mathematical Analysis and Applications 410 (1), 292-306, 2014 | 81 | 2014 |
A constructive converse Lyapunov theorem on exponential stability SF Hafstein Discrete and Continuous Dynamical Systems 10 (3), 657-678, 2004 | 81 | 2004 |
Linear programming based Lyapunov function computation for differential inclusions R Baier, L Grüne, S Freyr Hafstein | 77 | 2012 |
Lyapunov function construction for ordinary differential equations with linear programming SÐF Marinósson Dynamical Systems: An International Journal 17 (2), 137-150, 2002 | 72 | 2002 |
Experimental investigation of day-to-day route-choice behaviour and network simulations of autobahn traffic in North Rhine-Westphalia R Selten, M Schreckenberg, T Chmura, T Pitz, S Kube, SF Hafstein, ... Human behaviour and traffic networks, 1-21, 2004 | 64 | 2004 |
Computation and verification of Lyapunov functions P Giesl, S Hafstein SIAM Journal on Applied Dynamical Systems 14 (4), 1663-1698, 2015 | 58 | 2015 |
A constructive converse Lyapunov theorem on asymptotic stability for nonlinear autonomous ordinary differential equations SF Hafstein* Dynamical Systems 20 (3), 281-299, 2005 | 53 | 2005 |
Computation of Lyapunov functions for nonlinear discrete time systems by linear programming P Giesl, S Hafstein Journal of Difference Equations and Applications 20 (4), 610-640, 2014 | 51 | 2014 |
Stability analysis of nonlinear systems with linear programming: A Lyapunov functions based approach SF Marinósson Duisburg, Univ., Diss., 2002, 2002 | 41 | 2002 |
Construction of Lyapunov functions for nonlinear planar systems by linear programming P Giesl, S Hafstein Journal of Mathematical Analysis and Applications 388 (1), 463-479, 2012 | 38 | 2012 |
Construction of a CPA contraction metric for periodic orbits using semidefinite optimization P Giesl, S Hafstein Nonlinear Analysis: Theory, Methods & Applications 86, 114-134, 2013 | 36 | 2013 |
Computation of Lyapunov functions for systems with multiple local attractors J Björnsson, P Giesl, SF Hafstein, CM Kellett Discrete and Continuous Dynamical Systems 35, 2015 | 34 | 2015 |
Computation of continuous and piecewise affine Lyapunov functions by numerical approximations of the Massera construction J Björnsson, P Giesl, S Hafstein, CM Kellett, H Li 53rd IEEE Conference on Decision and Control, 5506-5511, 2014 | 34 | 2014 |
Efficient sampling of saddle points with the minimum-mode following method A Pedersen, SF Hafstein, H Jónsson SIAM Journal on Scientific Computing 33 (2), 633-652, 2011 | 32 | 2011 |
Continuous and piecewise affine Lyapunov functions using the Yoshizawa construction S Hafstein, CM Kellett, H Li 2014 American Control Conference, 548-553, 2014 | 27 | 2014 |
Existence of piecewise linear Lyapunov functions in arbitrary dimensions P Giesl, S Hafstein Discrete Contin. Dyn. Syst 32 (10), 3539-3565, 2012 | 26 | 2012 |
Existence of piecewise affine Lyapunov functions in two dimensions P Giesl, S Hafstein Journal of Mathematical Analysis and Applications 371 (1), 233-248, 2010 | 25 | 2010 |