Estabilidade de Liapunov e derivada radial

Alva Morales, Gerard John

doi:10.11606/T.45.2014.tde-19112014-174237

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Doctoral Thesis

DOI

https://doi.org/10.11606/T.45.2014.tde-19112014-174237

Document

Doctoral Thesis

Author

Alva Morales, Gerard John (Catálogo USP)

Full name

Gerard John Alva Morales

E-mail

Institute/School/College

Instituto de Matemática e Estatística

Knowledge Area

Applied Mathematics

Date of Defense

2014-10-31

Published

São Paulo, 2014

Supervisor

Garcia, Manuel Valentim de Pera (Catálogo USP)

Committee

Garcia, Manuel Valentim de Pera (President)
Freire Junior, Ricardo dos Santos
Martins, Ricardo Miranda
Santos, Fábio dos
Tal, Fabio Armando

Title in Portuguese

Estabilidade de Liapunov e derivada radial

Keywords in Portuguese

Estabilidade de Liapunov
k-decidibilidade
sistemas lagrangeanos
teorema de Dirichlet-Lagrange

Abstract in Portuguese

Apresentaremos uma classe de energias potenciais $\Pi \in C^{\infty}(\Omega,R)$ que são s-decidíveis e que admitem funções auxiliares de Cetaev da forma $\langle abla j^s\Pi(q),q angle$, $q\in \Omega \subset R^n$ que são s-resistentes.

Title in English

Liapunov stability and radial derivative

Keywords in English

k-decidability
Lagrangian systems
Liapunov stability
Theorem of Dirichlet-Lagrange

Abstract in English

We will present a class of potential energies $\Pi \in C^{\infty}(\Omega,R)$ that are s-decidable and that admit auxiliary functions of Cetaev of the form $\langle abla j^s\Pi(q),q angle$, $q \in \Omega \subset R^n$ which are s-resistant.

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Publishing Date

2015-01-05

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