International Journal of General Systems Publication details, including instructions for authors and subscription information: http://www.informaworld.com/smpp/title~content=t713642931 The robust D-stability analysis of uncertain discrete-delay descriptor systems via genetic algorithms Shing-Tai Pan a; Ching-Fa Chen b a Department of Computer Science and Information Engineering, National Univer...

We propose a model reduction method for positive systems that ensures the positivity of the reduced-order model. In the standard as well as in the descriptor case, for continuous-time and discrete-time systems, our approach is based on constructing diagonal solutions of Lyapunov inequalities. These are linear matrix inequalities (LMIs), which are shown to be feasible. Positivity and stability a...

In this paper, the reduced order unbiased optimal H∞ filtering problem for discrete-time descriptor linear systems is considered. Necessary and sufficient conditions for the existence of unbiased causal time invariant filters are obtained. Solutions of the filtering problems are given in terms of linear matrix inequalities (LMIs). Parametrization of all optimal causal unbiased filters is provid...

Methods for finding solutions of the state equations of descriptor fractional discrete-time and continuous-time linear systems with regular pencils are proposed. The derivation of the solution formulas is based on the application of the Z transform, the Laplace transform and the convolution theorems. Procedures for computation of the transition matrices are proposed. The efficiency of the propo...

In this paper, the moving horizon recursive state estimator for linear singular systems is derived from the least squares estimation problem. It will be shown that this procedure yields the same state estimate as the Kalman filter for descriptor systems when the noises are Gaussian. The obtained results are applied to the state and the unknown inputs estimation for discrete-time systems with un...

A method for finding of the solutions of the state equations of descriptor fractional discrete-time linear systems with regular pencils and a procedure for computation of transition matrices of the system are proposed. On the basis of this procedure a computer algorithm which calculates the transition matrices and solution of the system is presented. The effectiveness of the proposed procedure ...

This paper provides conditions for H∞ control of discrete-time nonlinear descriptor models. The nonlinear model is represented by a Takagi-Sugeno one. Conditions are given in terms of linear matrix inequalities. Relaxed conditions are obtained via delayed Lyapunov functions and delayed control laws. Such an approach allows adding extra decision variables without increasing the number of LMI con...

In this paper, a new tool that is fractional Fourier Transform is introduced to 3D model retrieval. And we propose a 3D model descriptor based on 3D factional Fourier transform. Fractional Fourier transform is a general format of Fourier transform, and add a variables that is order. Our approach is based on volume. The first step of the approach is that voxelize these 3D models. A coarse voxeli...

In the problem of designated a well-defined wavelet describing the closed curve, it is critical that we define a unique starting point for the wavelet representatives of closed curve. In this paper, we design a one-dimensional periodized wavelet transformation for closed curves detection in complex background. The uniqueness property facilitates the quantitative analysis of the unique propertie...

Recently, discrete and variable Adriatic indices have been introduced and it has been shown that the sum α -exdeg index is good predictor (when variable parameter is equal to 0.37 ) of the octanol-water partition coefficient for octane isomers. Here, we study mathematical properties of this descriptor. Namely, we analyze extremal graphs of this descriptor in the following classes: the class of ...