The Stability of a Two-Axis Gimbal System for the Camera by Nguyen Cong Danh

“…This paper presents a two-axis gimbal loop in which the LOS rate is stable, and I proceed to examine the stability of the system to get a better overview of the system properties. …”
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The Aronsson Equation, Lyapunov Functions, and Local Lipschitz Regularity of the Minimum Time Function by Pierpaolo Soravia

“…We show that such super/subsolutions make the Hamiltonian monotone on the trajectories of the closed loop Hamiltonian dynamics. We give a short, general proof that C1-solutions are absolutely minimizing functions. …”
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Adaptive Barrier Control for Nonlinear Servomechanisms with Friction Compensation by Shubo Wang, Haisheng Yu, Xuehui Gao, Na Wang

“…The stability of the closed-loop control system is proved using Lyapunov stability theory. …”
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Celestial $w_{1+\infty}$ charges and the subleading structure of asymptotically-flat spacetimes by Marc Geiller

“…We study the subleading structure of asymptotically-flat spacetimes and its relationship to the $w_{1+∞}$ loop algebra of higher spin charges. We do so using both the Bondi–Sachs and the Newman–Penrose formalism, via a dictionary built from a preferred choice of tetrad. …”
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Generalized Kalman-Yakubovich-Popov Lemma Based I-PD Controller Design for Ball and Plate System by Shuichi Mochizuki, Hiroyuki Ichihara

“…The design method has two features: first, the structure of the controller called I-PD prevents large input signals against major changes in the reference signal; second, a low-pass filter is introduced into the feedback loop to reduce the influence of the measurement noise produced by the camera. …”
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Analysis of Pulse System Dynamics of Phase Synchronization in Multiple Capture Mode by A. L. Shilina

“…Necessity of the latter is caused by the fact that pulse systems using phase control principle are rather often applied at high or super high frequencies when realization of a divider with variable division coefficient which is set in the feedback loop is rather complicated or practically impossible. …”
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Neural Network Inverse Model Control Strategy: Discrete-Time Stability Analysis for Relative Order Two Systems by M. A. Hussain, Jarinah Mohd Ali, M. J. H. Khan

“…The analysis is done by representing the closed loop system in state space format and then analyzing the time derivative of the state trajectory using Lyapunov’s direct method. …”
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Adaptive Fuzzy Control for Stochastic Pure-Feedback Nonlinear Systems with Unknown Hysteresis and External Disturbance by Xikui Liu, Yingying Ge, Yan Li

“…The results show that the proposed control scheme ensures that all signals of the closed-loop system are semiglobally uniformly bounded and the tracking error converges to the small neighborhood of origin in the sense of mean quartic value. …”
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Adaptive Output Tracking of Driven Oscillators by Lili Diao, Martin Guay

“…An adaptive learning algorithm is exploited that guarantees the stability of the closed-loop system and convergence of the output tracking error to an adjustable neighborhood of the origin. …”
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Finite-Time Admissibility and Controller Design for T-S Fuzzy Stochastic Singular Systems with Distinct Differential Term Matrices by Liang Qiao, Zhaomin Lv

“…Based on admissibility analysis results, a design method for parallel distribution compensation (PDC) controller of FSSSs is given to guarantee the finite-time admissibility of the closed-loop system. Finally, the feasibility and effectiveness of the proposed methods in this article are illustrated with three examples.…”
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Thermodynamic of the f(Q) universe by Haomin Rao, Chunhui Liu, Chao-Qiang Geng

“…We show that the lowest-order correction of entropy has the same form as that in loop quantum gravity, and the critical exponents of the phase transition caused by the lowest-order correction are consistent with those in mean field theory. …”
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Coevolution of Interorganizational Psychological Contract and Interorganizational Relationship: A Case Study of Manufacturing Company in China by Wei He

“…Firstly based on the structural analysis of the interrelations of IPC and IOR, this paper builds the qualitative causal loop diagram of the interrelations. Based on investigation of 55 manufacturing enterprises in China we further draw the stock and flow diagram. …”
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Two Improved Cancellation Techniques for Direct-Conversion Receivers by Xueyuan Hao, Xiaohong Yan

“…Another is DC offset cancellation technique; a novel DC servo loop circuit is proposed to replace the traditional AC-coupled amplifier circuit. …”
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Integral Bifurcation Method together with a Translation-Dilation Transformation for Solving an Integrable 2-Component Camassa-Holm Shallow Water System by Weiguo Rui, Yao Long

“…Many traveling wave solutions of nonsingular type and singular type, such as solitary wave solutions, kink wave solutions, loop soliton solutions, compacton solutions, smooth periodic wave solutions, periodic kink wave solution, singular wave solution, and singular periodic wave solution are obtained. …”
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Curvature-Restored Gauge Invariance and Ultraviolet Naturalness by Durmuş Ali Demir

“…It is shown that (aΛ2+b|H|2)R in a spacetime of curvature R is a natural ultraviolet (UV) completion of (aΛ4+bΛ2|H|2) in the flat-spacetime Standard Model (SM) with Higgs field H, UV scale Λ, and loop factors a and b. This curvature completion rests on the fact that Λ-mass gauge theory in flat spacetime turns, on the cut view R=4Λ2, into a massless gauge theory in curved spacetime. …”
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A PI-Type Sliding Mode Controller Design for PMSG-Based Wind Turbine by Jun Liu, Feihang Zhou, Chencong Zhao, Zhuoran Wang

“…Compared with the conventional control method, the PI-type SMC proposed in this paper not only can make the closed-loop system globally stable, but also has a better robustness and slightly reduced the current ripple and distortion. …”
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Ileocecal intussusception in a patient with ileal melanoma metastasis: clinical case and review of the literature by M. A. Danilov, A. O. Atroschenko, S. V. Pozdnyakov, G. G. Saakyan

“…Surgical approach in intestinal intussusception varies widely from conservative reposition of intussuscepted loop to expanded resection of intestinal segment. …”
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Vibration-Attenuation Controller Design for Uncertain Mechanical Systems with Input Time Delay by Yuanchun Ding, Falu Weng, Xiaohua Jiang, Minkang Tang

“…By solving the obtained LMIs, the controllers are achieved for the closed-loop system to be stable with a prescribed level of disturbance attenuation. …”
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A Real-Time Structure of Attitude Algorithm for High Dynamic Bodies by Xingcheng Li, Shuangbiao Zhang

“…During the update of the attitude matrix, the real-time structure saves every element of attitude matrix in minor loop in real time and updates the next attitude matrix based on the previous matrix every subsample time. …”
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Intestinal Obstruction Caused by Gallstone Ileus. A Case Presentation by Mayquel Monzón Rodríguez, Lidia Torres Ajá, Nancy Capín Sarría

“…As the cause of occlusion it was found a thick gallstone in a jejunal loop. The patient progressed satisfactorily and was discharged 5 days after surgery.…”
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