DocumentCode
2464366
Title
On the Lyapunov Partial Differential Equation
Author
Pait, Felipe ; Colón, Diego
Author_Institution
Laboratorio de Automacao e Controle, Univ. de Sao Paulo, Laboratorio de Automacao e Controle
fYear
2006
fDate
13-15 Dec. 2006
Firstpage
5102
Lastpage
5107
Abstract
Solving the Lyapunov partial differential equation one can obtain necessary and sufficient conditions for stability of a dynamical system. We establish conditions under which it can be solved, and construct the solution in the case of curve systems - those generated by nabla-Killing vector fields of the connection on the manifold where the system evolves
Keywords
Lyapunov methods; partial differential equations; stability; Killing vector fields; Lyapunov stability; Riemannian geometry; curve systems; dynamical system stability; partial differential equations; Asymptotic stability; Control systems; Geometry; Integral equations; Lyapunov method; Partial differential equations; Stability analysis; Sufficient conditions; USA Councils; Vectors; Killing vector fields; Lyapunov stability; Riemannian geometry; partial differential equations;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2006 45th IEEE Conference on
Conference_Location
San Diego, CA
Print_ISBN
1-4244-0171-2
Type
conf
DOI
10.1109/CDC.2006.377043
Filename
4177056
Link To Document