Large-scale systems: Complexity, stability, reliability

After showing that a complex dynamic system with a competitive structure has highly reliable stability, a class of noncompetitive dynamic systems for which competitive models can be constructed is defined. It is shown that such a construction is possible in the context of the hierarchic stability analysis. The scheme is based on the comparison principle and vector Liapunov functions

Absolute Stability and Parameter Sensitivity

Absolute stability notion extended to include parameter variations of linear part of syste

Convergência econômica dos Bálcãs Ocidentais à UE-15

This paper aims to analyze the beta convergence of Western Balkan countries towards the EU-15 Member States in the period 2004-2016, and two sub-periods: 2004-2008 and 2009-2013. Beta convergence is based on the neoclassical growth theory and tests the hypothesis that poor countries tend to grow faster than rich countries, in per capita terms. The empirical findings support the economic convergence hypothesis, with convergence rates ranging from 1.1% to 2.3%. The results show that the recent financial crisis negatively affected the absolute and conditional convergence process, when economic variables are included. The main limitation of the research is the availability of data.El objetivo de este estudio es analizar la convergencia beta de los países de los Balcanes Occidentales hacia los Estados miembros de la UE-15 en el periodo 2004-2016 y dos subperiodos: 2004-2008 y 2009-2013. La convergencia beta se basa en la teoría del crecimiento neoclásico y pone a prueba la hipótesis de que los países pobres tienden a crecer más rápido que los países ricos, en términos per cápita. Los hallazgos empíricos apoyan la hipótesis de convergencia económica, con tasas de convergencia que van del 1.1% al 2.3%. Los resultados muestran que la reciente crisis financiera afectó negativamente el proceso de convergencia absoluta y condicional, cuando se incluyen variables económicas. La principal limitación de la investigación es la disponibilidad de datos.O objetivo deste estudo é analisar a convergência beta dos países dos Bálcãs Ocidentais aos Estados-membros da UE-15 no período de 2004-2016, e dois subperíodos: 2004-2008 e 2009-2013. A convergência beta está baseada na teoria do crescimento neoclássico e coloca à prova a hipótese de que os países pobres tendem a crescer mais rápido do que os ricos, em termos per capita. Os achados empíricos apoiam a hipótese de convergência econômica, com taxas de convergência que vão de 1,1% a 2,3%. Os resultados demonstram que a recente crise financeira afetou negativamente o processo de convergência absoluta e condicional, quando são incluídas variáveis econômicas. A principal limitação desta pesquisa se encontra na disponibilidade de acesso aos dados

Parameter plane analysis of forced nonlinear oscillations

Parameter plane analysis of forced oscillations and jump resonance phenomena in nonlinear system

Decomposition-aggregation stability analysis

This report presents the development and description of the decomposition aggregation approach to stability investigations of high dimension mathematical models of dynamic systems. The high dimension vector differential equation describing a large dynamic system is decomposed into a number of lower dimension vector differential equations which represent interconnected subsystems. Then a method is described by which the stability properties of each subsystem are aggregated into a single vector Liapunov function, representing the aggregate system model, consisting of subsystem Liapunov functions as components. A linear vector differential inequality is then formed in terms of the vector Liapunov function. The matrix of the model, which reflects the stability properties of the subsystems and the nature of their interconnections, is analyzed to conclude over-all system stability characteristics. The technique is applied in detail to investigate the stability characteristics of a dynamic model of a hypothetical spinning Skylab