Controllability and nonlinearity

Controllability and nonlinearity

A usual problem in control theory is the problem of controllability: given two states, is it possible to go from the first one to the second one by means of suitable control? Even in finite dimension, find a necessary and sufficient condition for controllability is out of reach. One can restrict our goal to the study of local controllability. In this case the two states are close to some given ...

Dynamic path controllability in economic models From linearity to nonlinearity

In this paper we study the dynamic path controllability of discrete-time nonlinear economic models in state-space form. First we present an algorithmic procedure for testing this property for time-varying linear systems. Secondly we extend this method to general nonlinear models and we show that under generic conditions path controllability around a specific trajectory of the nonlinear system i...

Nonlinearity In Exchange Rates and Forecasting

ON CONTROLLABILITY AND OBSERVABILITY OF FUZZY CONTROL SYSTEMS

In order to more effectively cope with the real world problems of vagueness, imprecise and subjectivity, fuzzy event systems were proposed recently. In this paper, we investigate the controllability and the observability property of two systems that one of them has fuzzy variables and the other one has fuzzy coefficients and fuzzy variables (fully fuzzy system). Also, sufficient conditions for ...

The controllability of cardiac rhythm in elderly

Introduction: Recent reports have shown that rare fluctuations in cardiac cycles are ‘forgotten’ quickly in healthy individuals and it is possible to quantify the “memory length” of a physiological time-series using an inverse statistical approach. Methods: In the present study, we assessed the effect of aging on memory length in cardiac rhythm. Results: There was a long...