This paper is concerned with a proportional plus derivative (PD) state feedback control problem for discrete and continuous descriptor linear systems. We aim to design a (PD) state feedback controller which guarantees the stability of closed-loop system. The existence of such a controller is determined by developing a necessary and sufficient condition in terms of LMIs. Then, the desired PD sta...

In this paper, we propose Local Binary Pattern Histogram Fourier features (LBP-HF), a novel rotation invariant image descriptor computed from discrete Fourier transforms of local binary pattern (LBP) histograms. Unlike most other histogram based invariant texture descriptors which normalize rotation locally, the proposed invariants are constructed globally for the whole region to be described. ...

In the sequel to [A. Ilchmann and V. Mehrmann, SIAM J. Control Optim., 44 (2005), pp. 1725–1747], we discuss a behavioral approach for linear, time-varying, differential algebraic (descriptor) systems with real analytic coefficients. The analysis is “almost global” in the sense that the analysis is not restricted to an interval I ⊂ R but is allowed for the “time axis” R\T, where T is a discrete...

This paper is concerned with the stability of uncertain linear systems with mixed neutral and discrete delays. The uncertainty under consideration is of polytopic type. A new analysis approach which combines the descriptor system transformation and relaxation matrix is proposed to derive some less conservative stability criteria. The criteria are dependent on both neutral delay and discrete del...

In this paper, we consider the regularization problem for the linear time-varying discrete-time periodic descriptor systems by derivative and proportional state feedback controls. Sufficient conditions are given under which derivative and proportional state feedback controls can be constructed so that the periodic closed-loop systems are regular and of index at most one. The construction proced...

The aim of this paper is to analyze the undamped second order descriptor systems to show the possibility of transform an undamped second order descriptor system to a pure first order descriptor system ,on different ways, while stating some of its benefits. Meanwhile we will introduce pure first order systems and undamped second order systems and indicate that under some assumptions every undamp...

A pattern descriptor invariant to rotation, scaling, translation (RST), and robust to additive noise is proposed by using the Radon, Fourier, and Mellin transforms. The Radon transform converts the RST transformations applied on a pattern into transformations in the radial and angular slices of the Radon transform data. These beneficial properties of the Radon transform make it an useful interm...

Remote protein homology detection is an important step towards understanding protein function in living organisms. The problem is notoriously difficult; distant homologs can often be detected only by a combination of sequence and structural features. We propose a new framework, where important sequence and structural features are described by the user in the form of a descriptor, and the descri...

In this paper fault diagnosis is studied for linear time varying descriptor systems, which are the discrete time counterpart of the continuous time dynamic systems described by differentialalgebraic equations. This class of systems includes and is broader than the well-known state space systems. The framework of descriptor systems is particularly useful for studying dynamic systems exhibiting t...

We propose a method for the assessment and visualization of high frequency regions of a multiresolution image. We combine both orientation tensor and multiresolution analysis to give a scalar descriptor of high frequency regions. High values of this scalar space indicate regions having coincident detail vectors in multiple scales of a wavelet decomposition. This is useful for finding edges, tex...