What is the most suitable Lyapunov function?
P Zhou, X Hu, Z Zhu, J Ma - Chaos, Solitons & Fractals, 2021 - Elsevier
Lyapunov function provides feasible estimation and prediction of nonlinear system stability,
and useful guidance for adaptive control in chaos and synchronization approach. In case of …
and useful guidance for adaptive control in chaos and synchronization approach. In case of …
Functional differential equations: advances and applications
C Corduneanu, Y Li, M Mahdavi - 2016 - books.google.com
Features new results and up-to-date advances in modeling and solving differential
equations Introducing the various classes of functional differential equations, Functional …
equations Introducing the various classes of functional differential equations, Functional …
[图书][B] Lyapunov arguments in optimization
A Wilson - 2018 - search.proquest.com
Optimization is among the richest modeling languages in science. In statistics and machine
learning, for instance, inference is typically posed as an optimization problem. While there …
learning, for instance, inference is typically posed as an optimization problem. While there …
[HTML][HTML] Revised CPA method to compute Lyapunov functions for nonlinear systems
PA Giesl, SF Hafstein - Journal of Mathematical Analysis and Applications, 2014 - Elsevier
The CPA method uses linear programming to compute Continuous and Piecewise Affine
Lyapunov functions for nonlinear systems with asymptotically stable equilibria. In [14] it was …
Lyapunov functions for nonlinear systems with asymptotically stable equilibria. In [14] it was …
Computation and verification of Lyapunov functions
P Giesl, S Hafstein - SIAM Journal on Applied Dynamical Systems, 2015 - SIAM
Lyapunov functions are an important tool to determine the basin of attraction of equilibria in
Dynamical Systems through their sublevel sets. Recently, several numerical construction …
Dynamical Systems through their sublevel sets. Recently, several numerical construction …
Computation of Lyapunov functions for nonlinear discrete time systems by linear programming
P Giesl, S Hafstein - Journal of Difference Equations and …, 2014 - Taylor & Francis
Given an autonomous discrete time system with an equilibrium at the origin and a
hypercube containing the origin, we state a linear programming problem, of which any …
hypercube containing the origin, we state a linear programming problem, of which any …
[PDF][PDF] Computation of Lyapunov functions for systems with multiple local attractors
We present a novel method to compute Lyapunov functions for continuous-time systems with
multiple local attractors. In the proposed method one first computes an outer approximation …
multiple local attractors. In the proposed method one first computes an outer approximation …
Computation of continuous and piecewise affine Lyapunov functions by numerical approximations of the Massera construction
The numerical construction of Lyapunov functions provides useful information on system
behavior. In the Continuous and Piecewise Affine (CPA) method, linear programming is …
behavior. In the Continuous and Piecewise Affine (CPA) method, linear programming is …
Computing continuous and piecewise affine Lyapunov functions for nonlinear systems
SF Hafstein, CM Kellett, H Li - Journal of Computational Dynamics, 2016 - aimsciences.org
We present a numerical technique for the computation of a Lyapunov function for nonlinear
systems with an asymptotically stable equilibrium point. The proposed approach constructs …
systems with an asymptotically stable equilibrium point. The proposed approach constructs …
Continuous and piecewise affine Lyapunov functions using the Yoshizawa construction
S Hafstein, CM Kellett, H Li - 2014 American Control …, 2014 - ieeexplore.ieee.org
We present a novel numerical technique for the computation of a Lyapunov function for
nonlinear systems with an asymptotically stable equilibrium point. Our proposed approach …
nonlinear systems with an asymptotically stable equilibrium point. Our proposed approach …