Fabio Camilli, Lars Grüne, Fabian Wirth  Home/Search
Context Related
| hamilton.ie/fabian/Archiv...zubov.ps.gz Cached: PS.gz PS PDF This document uses CoBlitz to cache paper downloads. If your firewall is blocking outgoing connections to port 3125, you can use these links to download local copies.
Image Update HelpPS.gz PS PDF From: hamilton.ie/fabian...publications (more) (Enter author homepages) |
Rate this article:      (best)Comment on this article |
Abstract: A generalization of Zubov's theorem on representing the domain of attraction via the solution of a suitable partial di erential equation is presented for the case of perturbed systems with a singular xed point. For the construction it is necessary to consider solutions in the viscosity sense. As a consequence maximal robust Lyapunov functions can be characterized as viscosity solutions. (Update)
Cited by: More
Computing Control Lyapunov Functions via a Zubov Type Algorithm - Grüne, Wirth (2000) (Correct)
A Generalization of Zubov's Method to Perturbed Systems - Grüne, Wirth (Correct)
A Maximum Time Approach to the Computation of Robust.. - Falcone, Grüne, Wirth (Correct)
Similar documents (at the sentence level):
5.1%: A regularization of Zubov's equation for robust domains of .. - Camilli, Grüne, Wirth (2000) (Correct)
Active bibliography (related documents): More All
0.8: Zubov's Method for Perturbed Differential Equations - Camilli, Grüne, Wirth (Correct)
0.8: A generalization of Zubov's method to perturbed systems - Camilli, Grüne (Correct)
0.5: Further Results on Lyapunov Functions and Domains of Attraction.. - Malisoff (2002) (Correct)
Similar documents based on text:
0.0: Unknown - (Correct)
Related documents from co-citation: More All
9: Optimal control and viscosity solutions of HamiltonJacobi -Bellman equation (context) - Bardi - 1997
9: Optimality Principles and Representation Formulas for Viscosity Solutions of Ham.. (context) - Soravia
8: Lyapunov and Their Application (context) - Zubov, of - 1964
BibTeX entry: (Update)
F. Camilli, L. Grune, and F. Wirth. A Generalization of Zubov's method to perturbed systems. Preprint. http://citeseer.ist.psu.edu/737357.html More
@misc{ camilli-generalization,
author = "F. Camilli and L. Grune and F. Wirth",
title = "A Generalization of Zubov's method to perturbed systems",
text = "F. Camilli, L. Grune, and F. Wirth. A Generalization of Zubov's method
to perturbed systems. Preprint.",
url = "citeseer.ist.psu.edu/737357.html" }
Citations (may not include all citations):243 Nonlinear Systems (context) - Khalil - 1996
103 Optimal Control and Viscosity Solutions of HamiltonJacobi -B.. (context) - Bardi, Dolcetta - 1997
88 Stability of Motion (context) - Hahn - 1967
74 A smooth converse Lyapunov theorem for robust stability - Lin, Sontag et al. - 1996
63 Foundations of Optimal Control Theory (context) - Lee, Markus - 1967
45 New characterizations of input to state stability IEEE Trans - Sontag, Wang - 1996
34 erential topology (context) - Milnor - 1964
30 Geometric Control Theory (context) - Jurdjevic - 1997
28 Optimality principles and representation formulas for viscos.. (context) - Soravia - 1999
28 Optimality principles and representation formulas for viscos.. (context) - Soravia - 1999
26 Lyapunov and their Application (context) - Zubov, of - 1964
25 The structure of the level surfaces of a Lyapunov function (context) - Wilson - 1967
19 Maximal Lyapunov functions and domains of attraction for aut.. (context) - Vannelli, Vidyasagar - 1985
18 Robustness of nonlinear systems subject to time-varying pert.. - Paice, Wirth - 2000
14 Robustness analysis of domains of attraction of nonlinear sy.. - Paice, Wirth - 1998
13 Construction of the attraction region by Zubov's method (context) - Kirin, Nelepin et al. - 1982
12 Hamilton-Jacobi equations with singular boundary conditions .. (context) - Bardi, Soravia - 1991
12 A smooth Lyapunov function from a class-KL estimate involvin.. - Praly, Teel - 2000
10 A regularization of Zubov's equation for robust domains of a.. - Camilli, Gr et al. - 2000
9 Numerical determination of domains of attraction for electri.. (context) - Hassan, Storey - 1981
8 Asymptotic stability regions via extensions of Zubov's metho.. (context) - Aulbach - 1983
4 On asymptotic stability in dynamical systems (context) - Bhatia - 1967
3 des equations de Hamilton-Jacobi (context) - Barles, de viscosit - 1994
1 Local trajectory equivalence of di erential systems (context) - Coleman - 1966
1 the relation between discounted and average optimal control .. - Gr, On - 1998
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://www.hamilton.ie/fabian/publications.html): More
Characterizing Controllability Probabilities of Stochastic .. - Camilli, Grüne, Wirth (2004) (Correct)
On Linear Convergence of Discounted Optimal Control Problems.. - Grüne, Wirth (Correct)
Asymptotics of Value Functions of Discrete-Time Discounted Optimal .. - Wirth (1997) (Correct)
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC