Input-to-State Stability of Linear Stochastic Functional Differential Equations by Ramazan Kadiev, Arcady Ponosov

“…The purpose of the paper is to show how asymptotic properties, first of all stochastic Lyapunov stability, of linear stochastic functional differential equations can be studied via the property of solvability of the equation in certain pairs of spaces of stochastic processes, the property which we call input-to-state stability with respect to these spaces. …”
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A Note on Stability of an Operator Linear Equation of the Second Order by Janusz Brzdȩk, Soon-Mo Jung

“…In this way, we obtain several results on stability of some linear functional and differential and integral equations of the second order and some fixed point results for a particular (not necessarily linear) operator.…”
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Multiple Solutions for the Asymptotically Linear Kirchhoff Type Equations on RN by Yu Duan, Chun-Lei Tang

“…We will show that if the nonlinearities are asymptotically linear at infinity and λ>0 is sufficiently small, the Kirchhoff type equations have at least two positive solutions. …”
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Design and Analysis of Combined Valve Spool with Linear Flow Coefficient by Changxiong Xie, Heng Su, Jun Yang, Zhongjing He

“…The combined spool has better linear characteristics, which can improve the control performance of the electro-hydraulic servo valve.…”
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New Stability Conditions for Linear Differential Equations with Several Delays by Leonid Berezansky, Elena Braverman

“…New explicit conditions of asymptotic and exponential stability are obtained for the scalar nonautonomous linear delay differential equation x˙(t)+∑k=1mak(t)x(hk(t))=0 with measurable delays and coefficients. …”
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Robust Observer Design for Switched Positive Linear System with Uncertainties by Yanke Zhong, Tefang Chen

“…This paper is concerned with the design of a robust observer for the switched positive linear system with uncertainties. Sufficient conditions of building a robust observer are established by using the multiple copositive Lyapunov-krasovskii function and the average dwell time approach. …”
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The Generalization of the Poisson Sum Formula Associated with the Linear Canonical Transform by Jun-Fang Zhang, Shou-Ping Hou

“…Secondly, the generalization of the classical Poisson sum formula to the linear canonical transform sense has been obtained.…”
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Concerning row operations on systems of linear equations with integral coefficients by L. B. Treybig

Subjects: “…linear equations.…”
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An ultra-wideband thin metamaterial linear cross-polarization conversion by Pegah Nochian, Zahra Atlasbaf

“…Abstract This article presents the design of a novel ultra-wideband, thin metamaterial linear cross-polarization converter (CPC) operating at microwave frequencies. …”
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Impulsive Cluster Anticonsensus of Discrete Multiagent Linear Dynamic Systems by Liping Zhang, Haibo Jiang

“…In this paper, we investigate the problem of impulsive cluster anticonsensus of discrete multiagent linear dynamic systems. Firstly, an impulsive protocol is designed to achieve the cluster anticonsensus. …”
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Mutual Coupling Effect on Ultrawideband Linear Antenna Array Performance by Osama Ahmed, Abdel-Razik Sebak

“…This paper studies the mutual coupling effect between array elements of two- and four-element ultrawideband (UWB) linear arrays on their performances. For simplicity, it is assumed that both antenna arrays are fed by independent microstrip lines with the same power amplitudes and equal phases. …”
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An entropic regularization method for solving systems of fuzzy linear inequalities by F. B. Liu

“…Solving systems of fuzzy linear inequalities could lead to the solutions of fuzzy linear programs. …”
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Discrete Mittag-Leffler Functions in Linear Fractional Difference Equations by Jan Čermák, Tomáš Kisela, Luděk Nechvátal

“…This paper investigates some initial value problems in discrete fractional calculus. We introduce a linear difference equation of fractional order along with suitable initial conditions of fractional type and prove the existence and uniqueness of the solution. …”
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Boundary integral equation methods for Lipschitz domains in linear elasticity by Le Louër, Frédérique

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Linear Multivariate Decision Trees for Fast QTMT Partitioning in VVC by Jose N. Filipe, Luis M. N. Tavora, Sergio M. M. Faria, Antonio Navarro, Pedro A. A. Assuncao

“…By exploiting distinct complexity and spatial characteristics of the North, Equator, and South regions in ERP images, the proposed method is devised upon a region-based approach, using novel linear multivariate decision trees to determine whether a given partition type can be skipped. …”
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Linear Epidermal Nevus of the Oral Cavity: A Rare Diagnosis by Mariana Dutra de Cássia Ferreira Santos, Alexandre Scalli Mathias Duarte, Guilherme Machado Carvalho, Alexandre Caixeta Guimarães, Carlos Eduardo Monteiro Zappelini, Ana Cristina Coelho Dal Rio, Maria Elvira Pizzigatti Corrêa, Albina Messias de Almeida Milani Altemani, Ester Maria Danielli Nicola

“…Linear epidermal nevus is an uncommon diagnosis of benign lesions of the oral cavity. …”
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Focusing of linearly polarized optical vortex and a Hall effect by V.V. Kotlyar, A.A. Kovalev, A.G. Nalimov

“…Polarization of a higher-order cylindrical vector beam (CVB) is known to be locally linear. The higher the beam order, the larger number of full circles the local linear polarization vector makes around the optical axis. …”
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Stabilization of Discrete-Time Planar Switched Linear Systems with Impulse by Yanli Zhu, Yuangong Sun

“…We study the stabilization problem of discrete-time planar switched linear systems with impulse. When all subsystems are controllable, based on an explicit estimation on the state transition matrix, we establish a sufficient condition such that the switched impulsive system is stabilizable under arbitrary switching signal with given switching frequency. …”
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On some properties of the linear-invariant family of n-th order by Eduardas Kirjackis, Jevgenijus Kirjackis

“… In the work the linear-invariant family n-th order is determined. …”
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Linear Array Design with Switched Beams for Wireless Communications Systems by Vinícius Ludwig-Barbosa, Edson Schlosser, Renato Machado, Filipe Guterres Ferreira, Sabrina Müller Tolfo, Marcos Vinício Thomas Heckler

“…This paper presents an analysis for optimal design of switched beamforming applied to a linear array for wireless communication systems. The beam switching scheme provides coverage of a given sector in azimuth and controls the sidelobe level simultaneously. …”
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