In this paper, we propose the use of bilinear dynamical systems (BDS)s for model-based deconvolution of fMRI time-series. The importance of this work lies in being able to deconvolve haemodynamic time-series, in an informed way, to disclose the underlying neuronal activity. Being able to estimate neuronal responses in a particular brain region is fundamental for many models of functional integr...

In this paper we develop a Conditional Least Squares (CLS) procedure for estimating bilinear time series models. We apply this method to two general types of bilinear models. A model of type I is a special superdiagonal bilinear model which includes the linear ARMA model as a submodel. A model of type II is a standardized version of the popular bilinear BL(p, 0, p, 1) model (see e.g. Liu and Ch...

The paper offers evolving Takagi–Sugeno (T–S) fuzzy models for a nonlinear benchmark represented by the pendulum-crane system and focused on the dynamics of pendulum angular position behavior. The rule bases and parameters of T–S fuzzy models are continuously evolved by an online identification algorithm in terms of computing the potentials of new data points. Accepting the pendulum angle as mo...

We study the time-dependent dynamics of a collection of N collapsing/expanding D0-branes in type IIA String Theory. We show that the fuzzy-S and S provide time-dependent solutions to the Matrix Model of D0-branes and its DBI generalisation. Some intriguing cancellations in the calculation of the non-abelian DBI Matrix actions result in the fuzzyS and S having the same dynamics at large-N . For ...

Abstract. Aiming at a type of complex nonlinear dynamic systems, a T-S fuzzy control system based on niche model is proposed in this paper. The ecological environment actually occupied by the organism, and the organism’s ability to exploit and use it, is regarded as a unit of a dissipative structure-“niche”. The “costae escarole” theory of niche is used to found a general fuzzy mathematic model...

The problem of robust fuzzy control for a class of nonlinear fuzzy impulsive singular perturbed systems with time-varying delay is investigated by employing Lyapunov functions. The nonlinear delay system is built based on the well-known T–S fuzzy model. The so-called parallel distributed compensation idea is employed to design the state feedback controller. Sufficient conditions for global expo...

In this paper we consider the control problem of Dynamic Positioning Systems for Ships (DPSS). It interests as a case which study in nonlinear controller design because the model exhibits nonlinear interaction in three degrees of freedom (surge, sway, and yaw) by means of main propellers aft of the ship. The DPSS system considered in this paper is modeled by a Takagi-Sugeno (T-S) type fuzzy mod...