Numerical Calculation of Nonsmooth Control Lyapunov Functions via Piecewise Affine Approximation

Title: Numerical Calculation of Nonsmooth Control Lyapunov Functions via Piecewise Affine Approximation
Creator: Baier, Robert; Braun, Philipp; Gruene, Lars; Kellett, Christopher M.
Relation: 11th IFAC Symposium on Nonlinear Control Systems NOLCOS 2019. Proceedings of 11th IFAC Symposium on Nonlinear Control Systems NOLCOS 2019 (Vienna, AUSTRIA 04-06 September, 2019) p. 370-375
Relation: ARC.DP160102138 http://purl.org/au-research/grants/arc/DP160102138
Publisher Link: http://dx.doi.org/10.1016/j.ifacol.2019.11.808
Publisher: Elsevier
Resource Type: conference paper
Date: 2019
Description: We review the numerical computation of control Lyapunov functions for switched systems in the Filippov sense and in the sample-and-hold sense. The computed (control) Lyapunov functions are piecewise affine and the decrease conditions involve either generalized gradients or the Dini subderivate. Further conditions for stabilization or stabilizability yield a (mixed-integer) linear program.
Subject: lyapunov function; asymptotic stability; controllability; switched systems; piecewise linear analysis; linear programming
Identifier: http://hdl.handle.net/1959.13/1460286
Identifier: uon:45924
Language: eng
Reviewed