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In this paper, the so-called full block S-procedure is applied to propose a general methodology that enables the derivation of LMI stability conditions for a quite general class of multidimensional linear systems, namely those described by hybrid Roesser models.
Image-based rendering (IBR) is a promising technology for rendering photo-realistic views of scenes from a collection of densely sampled images or videos, and for developing revolutionary immersive viewing systems. However, most multiple camera systems are designed to be stationary and hence their ability to cope with moving objects and dynamic environment is somewhat limited. This paper studies the...
We study systems of 2-d linear difference equations with constant coefficients in a commutative quasi-Frobenius ring F, that is, F is Noetherian and self-injective. For instance, F could be a field or a residue class ring of the integers. Given a pair of positive integers p = (p1; p2), we first answer the following basic questions: Does there exist a p-periodic solution? When are all solutions p-periodic?...
Our aim is to propose an extension of nD systems by treating uncertain parameters of a system as additional independent variables. We recall known results on deriving equations for the sensitivity of the system state to parameter changes. Then, the problem of optimal control of linear systems extended by sensitivity equations with the quadratic criterion is stated. Its solution is relatively easy...
1-D polynomial systems become more and more popular in respect that the systems are generalization of conventional 1-D linear systems and can represent nonlinear control systems effectively. Based on the same consideration, conventional 2-D Fornasini Marchesini local state space (FMLSS) models are extended to 2-D polynomial FMLSS model in this paper, with the elements of the system matrices are polynomial...
Voxel selection techniques can reveal important brain regions in 3-dimensional functional magnetic resonance imaging (fMRI) data analysis. In order to counteract the contamination of noise and find meaningful voxels for fMRI analysis, the sparse representation methods like Lasso have been recently proved to be efficient for voxel selection in fMRI data. However, the voxels selected by these methods...
In order to discover the relationship between music and the emotion that it may evoke, twenty-one features have been extracted to describe music. A feature selection algorithm called sequential floating forward selection (SFFS) is utilized to find discriminative features. An estimation of the correlation coefficient was applied to determine features of music that evoke an emotion. These features were...
In the paper, we derive a fractional du Bois-Reymond lemma for functions of one variable with Riemann-Liouville derivatives of order α ∈ (n − 1 over 2, n) where n ∈ ℕ, n ≥ 2 To prove this lemma we derive a theorem on the integral representation of a function possessing the fractional derivative of order α > 0 and a theorem on the fractional integration by parts of high order.
The main result of the paper is a fractional du Bois-Reymond lemma for functions of one variable with Riemann-Liouville derivatives of order α ∈ (1 over 2; 1). Proof of this lemma is based on a theorem on the integral representation of a function possessing the fractional derivative of order α ∈ (1 over 2; 1) and on a fractional variant of the theorem on the integration by parts. These theorems are...
In this paper we propose a procedure to reduce a 2 - D square polynomial matrix of arbitrary degrees to matrix pencils of the form sX + ZY + A, using zero coprime equivalence. As a further step, we provide the necessary and sufficient condition by which pencils of specific forms, appearing as parametric families, are zero coprime equivalent to a 2 - D regular polynomial matrix. Appropriate examples...
In this paper, we consider and study total variation (TV) image restoration. The main aim of this paper is to develop a fast TV image restoration method with an automatic selection of spatial-varying regularization parameter scheme to restore blurred and noisy images. The method exploits the generalized cross-validation (GCV) technique to determine inexpensively how much regularization used in each...
This paper is concerned with asymptotic unknown input observers (UIOs) for two-dimensional (2-D) systems. A sufficient condition for the existence of the asymptotic UIO is given in terms of the rank conditions of the given system matrices. Based on this condition, a simple and effective method for designing asymptotic UIOs for 2-D systems is given. An example is also presented to illustrate the proposed...
This paper introduces a model for the dynamics of a sorption process from the industrial water supply and sewage treatment industries that is a continuous version of the Roesser state-space model for 2D discrete systems. Conditions for unique solvability and the representation formula are then developed together with the solution of an optimization problem using boundary control. The solution of this...
The problem of synthesizing stabilizing controllers, when the closed-loop system is required to remain positive, is solved for a class of 2-D systems described by a general model. More precisely, the synthesis of local state-feedback controllers is solved in terms of Linear Programming to deal with the stabilization under constrained controls and nonnegative states. A numerical example is given to...
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