Linearization of a Matrix Riccati Equation Associated to an Optimal Control Problem by Foued Zitouni, Mario Lefebvre

“…The matrix Riccati equation that must be solved to obtain the solution to stochastic optimal control problems known as LQG homing is linearized for a class of processes. The results generalize a theorem proved by Whittle and the one-dimensional case already considered by the authors. …”
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Letting Go of Narrative History: The Linearity of Time and the Art of Recounting the Past by Ari Helo

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A Double-Sided Linear Primary Permanent Magnet Vernier Machine by Yi Du, Chunhua Zou, Xianxing Liu

“…The purpose of this paper is to present a new double-sided linear primary permanent magnet (PM) vernier (DSLPPMV) machine, which can offer high thrust force, low detent force, and improved power factor. …”
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Fingerprint localization algorithm based on linear spatial dependence of WLAN RSS by Xiaoliang XU, Jian GAO, He HUANG, Zhe MA

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Improved integral attack——random linear distinguish and key recovery attack by Shaoyu DU

“…Based on the integral attack and collision attack of four rounds of AES, a random linear distinguish attack against four rounds of SP block ciphers was proposed, which took advantage of the non-uniformity of linear biases’ distribution between some blocks of plaintext and inner state.Combined with precomputation, a key recovery attack against four rounds of AES-like block ciphers was proposed.For LED-64, the results of distinguish attack and key recovery attack were given.Therein for LED-64 of 1-Step, the probability of successful distinguish attack is 85% under the condition that the data complexity is 2⁸ and the computational complexity is 2¹⁶ basic operation.For LED-64 of 2-Step, the calculation complexity of the key recovery attack under the condition of related key is 2¹⁴ basic operation, the data complexity is 2⁸, and the precomputation storage complexity is 2³⁸ half bytes.…”
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The Lyapunov Stability for the Linear and Nonlinear Damped Oscillator with Time-Periodic Parameters by Jifeng Chu, Ting Xia

“…We establish one stability criterion for the linear damped oscillator x′′+b(t)x′+a(t)x=0. Moreover, based on the computation of the corresponding Birkhoff normal forms, we present a sufficient condition for the stability of the equilibrium of the nonlinear damped oscillator x′′+b(t)x′+a(t)x+c(t)x2n-1+e(t,x)=0, where n≥2,c(t) is a continuous T-periodic function, e(t,x) is continuous T-periodic in t and dominated by the power x2n in a neighborhood of x=0.…”
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Competitive two person zero-sum game with linear increment function by Jolanta Dranseikienė, Daina Sūdžiūtė

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Progress in the Research on Methods of Non-linear Theory of Water Environmental Pollution by 缪翚, 易顺民

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Solving Linear and Nonlinear Fractional Differential Equations Using Spline Functions by Adel Al-Rabtah, Shaher Momani, Mohamed A. Ramadan

“…Suitable spline functions of polynomial form are derived and used to solve linear and nonlinear fractional differential equations. …”
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Robust Stabilization of Linear Switching Systems with Both Input and Communication Delays by Lili Jia, Zunbing Sheng

“…This work is concerned with stabilization control of a class of linear switching systems with time-delays in both the input and the communication channels. …”
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Les applications géodésiques des espaces des linéars d'appuis by Juozas Šinkūnas

“… Dans cet article on a étudie les applications géodésiques des espaces des linéars d'appuis avec la connexion affine. On a trouvé les conditions nécessaires et suffisantes de l'existence tels appli­cations. …”
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Linear SVM-Based Android Malware Detection for Reliable IoT Services by Hyo-Sik Ham, Hwan-Hee Kim, Myung-Sup Kim, Mi-Jung Choi

“…In this paper, we apply a linear support vector machine (SVM) to detect Android malware and compare the malware detection performance of SVM with that of other machine learning classifiers. …”
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Variables related to socialanxiety in adolescents: a multiple linear regression model by Antonio Samaniego Pinho, Marcelo Buenahora Bernal

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On Fault Detection in Linear Discrete-Time, Periodic, and Sampled-Data Systems by P. Zhang, S. X. Ding

“…This paper gives a review of some standard fault-detection (FD) problem formulations in discrete linear time-invariant systems and the available solutions. …”
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Linear Complexity of Generalized Cyclotomic Sequences of Order 4 over Fl by Yuhua Sun, Qiuyan Wang, Yang Yan, Tongjiang Yan, Hui Li

“…The results show that, in many cases, they have high linear complexity.…”
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Research on linear solvability of network coding based cooperative recovery scheme by Jun YIN, Xueqi SHA, Lei WANG, Dengyin ZHANG, Yuwang YANG

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Formalization of Linear Space Theory in the Higher-Order Logic Proving System by Jie Zhang, Danwen Mao, Yong Guan

“…This paper presents the formalization of the linear space theory in HOL4. A set of properties is characterized in HOL4. …”
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Bifurcation and Nodal Solutions for the Half-Linear Problems with Nonasymptotic Nonlinearity at 0 and ∞ by Wenguo Shen

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Design and Analysis of Linear Fault-Tolerant Permanent-Magnet Vernier Machines by Liang Xu, Jinghua Ji, Guohai Liu, Yi Du, Hu Liu

“…This paper proposes a new linear fault-tolerant permanent-magnet (PM) vernier (LFTPMV) machine, which can offer high thrust by using the magnetic gear effect. …”
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Oscillation Criteria for Linear Neutral Delay Differential Equations of First Order by Fatima N. Ahmed, Rokiah Rozita Ahmad, Ummul Khair Salma Din, Mohd Salmi Md Noorani

“…Some new sufficient conditions for oscillation of all solutions of the first-order linear neutral delay differential equations are obtained. …”
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