The ionic mechanisms underlying the generation of the electro-negative and positive "electro-olfactograms" (EOG's) have been studied in previous papers (Takagi and Wyse, 1965; Takagi, Wyse, and Yajima, 1966; Takagi, 1968; Takagi, Wyse, Ki tamura, and Ito, 1968). Briefly, the results showed that the negative EOG's primarily depend upon the entry of Na+ and the simultaneous exit of K +, and that ...

This paper presents a divide-and-conquer method for computing the Takagi factorization, or symmetric singular value decomposition, of a complex symmetric and tridiagonal matrix. An analysis of accuracy shows that our method produces accurate Takagi values and orthogonal Takagi vectors. Our preliminary numerical experiments have confirmed our analysis and demonstrated that our divide-and-conquer...

We focus on the analysis and design of two different sliding mode observers for dynamic Takagi-Sugeno (TS) fuzzy systems. A nonlinear system of this class is composed of multiple affine local linear models that are smoothly interpolated by weighting functions resulting from a fuzzy partitioning of the state space of a given nonlinear system subject to observation. The Takagi-Sugeno fuzzy system...

In this research a generalization of Takagi-Sugeno fuzzy controllers is presented. In this generalization all or some of the inputs of the fuzzy controllers are fuzzy numbers. Also, it is proved that this generalization is well defined, which means that if the inputs of a generalized Takagi-Sugeno fuzzy controller are singleton fuzzy sets, then the generalized Takagi-Sugeno fuzzy controller wil...

When controlling Takagi-Sugeno fuzzy systems, verification of some sector conditions is usually assumed. However, setpoint changes may alter the sector bounds. Alternatively, setpoint changes may be considered as an offset addition in many cases, and hence affine Takagi-Sugeno models may be better suited to this problem. This work discusses a nonconstant change of variable in order to carry out...

The shadow function is closely related to the Kruskal-Katona Theorem. The Takagi function is a standard example of a nowhere differentiable continuous function. The purpose of this paper is to exhibit a rather surprising relationship between the shadow function and the Takagi function. Using this relationship, one can approximately compute the size of minimum shadows in uniform hypergraphs with...

In this paper, tlic problcm of forcing a tiotilincar systcni to track a dcsircd rcfcrcncc in thc prcscncc of unccrtai~itics in thc systcni's parameter values is addrcsscd for a class of nonlincar systcms which can bc dcscribcd by a Takagi-Sugcno Fuzzy model. This approach is obtained by propcrly combining thc thcory of robust rcgulation and the Takagi-Sugcno modcling. By a suitable dcsign of lo...

Complex symmetric matrices arise from many applications, such as chemical exchange in nuclear magnetic resonance and power systems. Singular value decomposition (SVD) reveals a great deal of properties of a matrix. A complex symmetric matrix has a symmetric SVD (SSVD), also called Takagi Factorization, which exploits the symmetry [3]. Let A be a complex symmetric matrix, its Takagi factorizatio...

An algorithm for real-time prediction of river stage dynamics using a Takagi-Sugeno fuzzy system is presented in this paper. The system is trained incrementally each time step and is used to predict onestep and multi-step ahead of river stages. The number of input variables that were considered in the analysis was determined using two statistical methods, i.e. autocorrelation and partial autoco...

In this paper, we address fault-tolerant control for non-linear plants. We perform soft fault detection and isolation for partial fault detection. A new method is proposed that combines model predictive controllers with fuzzy Takagi-Sugeno models. An example is presented to illustrate the functionality of the proposed approach. Keywords— Fault detection and isolation, multiple models, fuzzy Tak...