This paper deals with the master–slave synchronization scheme for partially known non-linear fractional order systems, where the unknown dynamics is considered as the master system and we propose the slave system structure which estimates the unknown state variables. For solving this problem we introduce a Fractional Algebraic Observability (FAO) property… (More)
This paper concerns the experimental evaluation of a PID mixed H 2 /H ∞ control methodology based on the application of genetic algorithms. The considered plant is an experimental DC servosystem affected by disturbances acting on its output, and the performance objective corresponds to the control of the load angular position.
In this work, the dynamical behavior of the US stock markets is characterized on the basis of the temporal variations of the Hurst exponent estimated with detrended fluctuation analysis (DFA) over moving windows for the historical Dow Jones (1928–2007) and the S&P-500 (1950–2007) daily indices. According to the results drawn: (i) the Hurst exponent displays… (More)
We are concerned in this paper by controlled Linear Time-Invariant (LTI) Multi Input Multi Output (MIMO) systems in continuous-time. We study here the preservation under strictly positive real substitutions (of zero relative degree) of coprime factorizations as well as stabilizing properties in parametrized controllers. We also tackle here both the… (More)
We present in this paper some results concerning the preservation of control-oriented properties in Linear Time-Invariant systems (LTI systems) when applying substitutions of the Laplace variable s by a particular class of positive real functions, the socalled Positive Real functions of zero relative degree (PR0 functions). In particular, we show that the… (More)