Sistemas com Chaveamento

• Ano de defesa: 2009
• Autor(a) principal: Paula, Daniela Polessa
• Orientador(a): Fragoso, Marcelo Dutra
• Banca de defesa: Baczynski, Jack , Costa, Eduasrdo Fontoura
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Laboratório Nacional de Computação Científica
• Programa de Pós-Graduação: Programa de Pós-Graduação em Modelagem Computacional
• Departamento: Serviço de Análise e Apoio a Formação de Recursos Humanos
• País: BR
• Palavras-chave em Português: Markov, Processos de; Sistemas de chaveamento; Função comum de Lyapunov
• Palavras-chave em Inglês: Markov Systems; Switch systems; Common Lyapunov functions
• Área do conhecimento CNPq: CNPQ::CIENCIAS EXATAS E DA TERRA::CIENCIA DA COMPUTACAO::TEORIA DA COMPUTACAO::COMPUTABILIDADE E MODELOS DE COMPUTACAO
• Link de acesso: https://tede.lncc.br/handle/tede/110

Due, in part, to the nowadays considerable body of theoretical results for Markov Jump Linear Systems (MJLS), there has been recently an intense interplay between the classical switch systems and MJLS theory. Although the development of these theories came up independently, in a broad way MJLS can be seen as a class of switch systems with a stochastic switching mecanism. Motivated by the diversity of methods of these theories and its potentiality in the treatment of systems with requires tolerance to failure (the so-called safety-critical and highintegrity systems), it is our intention in this dissertation to make up a synthesis of the most relevant methods, setting against the two theories. In view of the huge amount of results of these theories, we focus here just on the stability problem. We begin presenting well known tools such as common Lyapunov functions and others which are related to involving classes of linear subsistems with certain particularities such as commutativity and solubility of Lie algebra. Rigth after, we present the concept of average dwell time, part Lyapunov functions and results about design of switch. Using the average dwell time at the linear systems with stable and unstable systems with the rules already demonstrated we claim some results about stability that applied at linear systems with markovian switch.