Passivity and Passification for Delay Fuzzy System Based on Delay Partitioning Approach by Xiangjie Liu, Dan Yue, Xiuming Yao

“…By constructing a Lyapunov-Krasovskii functional, delay-dependent passivity/passification performance conditions are formulated in terms of linear matrix inequalities (LMIs). Finally, numerical examples are used to illustrate the effectiveness of the proposed approaches which can further reduce conservatism and become more obvious with partitioning getting thinner.…”
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Estimation and Synthesis of Reachable Set for Singular Markovian Jump Systems by Yucai Ding, Hui Liu

“…The problems of reachable set estimation and state-feedback controller design are investigated for singular Markovian jump systems with bounded input disturbances. Based on the Lyapunov approach, several new sufficient conditions on state reachable set and output reachable set are derived to ensure the existence of ellipsoids that bound the system states and output, respectively. …”
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A Quasi-Variational Approach for the Dynamic Oligopolistic Market Equilibrium Problem by Annamaria Barbagallo, Paolo Mauro

“…As a consequence, we introduce the generalized dynamic Cournot-Nash principle in the elastic case and prove the equivalence between this equilibrium definition and a suitable evolutionary quasi-variational inequality. For completeness we make the analysis of existence, regularity, and sensitivity of the solution. …”
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On Unique Continuation for Navier-Stokes Equations by Zhiwen Duan, Shuxia Han, Peipei Sun

“…We take advantage of rotation transformation of the Navier-Stokes equations to prove the “logarithmic convexity” of certain quantities, which measure the suitable Gaussian decay at infinity to obtain the Gaussian decay weighted estimates, as well as Carleman inequality. As a consequence we obtain sufficient conditions on the behavior of the solution at two different times t0=0 and t1=1 which guarantee the “global” unique continuation of solutions for the Navier-Stokes equations.…”
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Global Robust Exponential Synchronization of Multiple Uncertain Neural Networks Subject to Event-Triggered Strategy by Jin-E Zhang, Huan Liu

“…By establishing event-triggered mechanism and using matrix inequality techniques, several sufficient criteria are obtained to ensure global robust exponential synchronization of coupling NNs. …”
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Sharp Power Mean Bounds for the Combination of Seiffert and Geometric Means by Yu-Ming Chu, Ye-Fang Qiu, Miao-Kun Wang

“…We answer the question: for α∈(0,1), what are the greatest value p and the least value q such that the double inequality Mp(a,b)<Pα(a,b)G1−α(a,b)<Mq(a,b) holds for all a,b>0 with a≠b. …”
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Improved Stability Criteria of Static Recurrent Neural Networks with a Time-Varying Delay by Lei Ding, Hong-Bing Zeng, Wei Wang, Fei Yu

“…By employing a reciprocally convex technique to consider the relationship between the time-varying delay and its varying interval, some improved delay-dependent stability conditions are presented in terms of linear matrix inequalities (LMIs). Finally, a numerical example is provided to show the merits and the effectiveness of the proposed methods.…”
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The Diagonally Dominant Degree and Disc Separation for the Schur Complement of Ostrowski Matrix by Jianxing Zhao, Feng Wang, Yaotang Li

“…By applying the properties of Schur complement and some inequality techniques, some new estimates of diagonally and doubly diagonally dominant degree of the Schur complement of Ostrowski matrix are obtained, which improve the main results of Liu and Zhang (2005) and Liu et al. (2012). …”
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Composite Adaptive Antidisturbance Control for Discrete-Time Switched System by Haibin Sun, Qiang Lu, Linlin Hou

“…A solvable sufficient condition is presented by using linear matrix inequalities (LMIs). Finally, a numerical example is shown to demonstrate the effectiveness of the proposed control approach.…”
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Cluster Consensus on Discrete-Time Multi-Agent Networks by Li Xiao, Xiaofeng Liao, Huiwei Wang

“…By utilizing a special coupling matrix and the Kronecker product, a criterion based on linear matrix inequality (LMI) is obtained. It is shown that the addressed discrete-time multi-agent networks achieve cluster consensus if a certain LMI is feasible. …”
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Mathematical approach and numerical analysis to the fundamental solutions method of Dirichlet problem by Tetsuo Inoue

“…The asymptotic theorem on extremal weighted polynomials will play fundamental roles to introduce a new scheme and to determine the distribution of charge points. …”
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Hospitalizations, emergency medical care utilization, and contacts with the regional on-call medical services among nursing home residents in Germany: a cross-sectional study in 44... by Paula Lienesch, Heinz Rothgang, Ansgar Gerhardus, Karin Wolf-Ostermann, Falk Hoffmann, Jonas Czwikla

“…Proportions of residents with at least one hospitalization, emergency medical care utilization (via the nationwide phone number 112), and contact with an on-call medical service (nationwide via 116117) over the previous 12 months were determined. …”
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Consensus Formation Control for a Class of Networked Multiple Mobile Robot Systems by Long Sheng, Ya-Jun Pan, Xiang Gong

“…A novel distributed control algorithm is designed based on the Lyapunov method and linear matrix inequality (LMI) technique for time delay systems. A multiple Lyapunov Krasovskii functional candidate is proposed for investigating the sufficient conditions to linear control gain design for the system with constant time delays. …”
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Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series by Tunji Ibrahim Awolere, Abiodun Tinuoye Oladipo, Şahsene Altınkaya

“…We aim to obtain coefficient bounds, the classical Fekete-Szegö inequality, and Hankel and Toeplitz determinants to generalize the probability of a gambler's ruin. …”
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AfD’s Electoral Success and the Refugee Crisis: Do Regional Disparities Matter? by Florian W. Bartholomae, Chang Woon Nam, Pierre Rafih

“…Abstract While populism remains rife in Europe, the continent is facing a new refugee dynamic. In the aftermath of the 2015–16 crisis, the EU is grappling with how to better address the challenges posed by Ukrainian immigration. …”
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Dirac Equation on the Torus and Rationally Extended Trigonometric Potentials within Supersymmetric QM by Özlem Yeşiltaş

“…Supersymmetric quantum mechanics techniques are used to get the extended potentials when the inner and outer radii of the torus are both equal and inequal. …”
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Series and Connections Among Central Factorial Numbers, Stirling Numbers, Inverse of Vandermonde Matrix, and Normalized Remainders of Maclaurin Series Expansions ^† by Feng Qi

“…The author revisits and builds upon known results regarding the Maclaurin power series expansions for a variety of functions and their normalized remainders, explores connections among central factorial numbers, the Stirling numbers, and specific matrix inverses, and derives several closed-form formulas and inequalities. Additionally, this paper reveals new insights into the properties of these mathematical objects, including logarithmic convexity, explicit expressions for certain quantities, and identities involving the Bell polynomials of the second kind.…”
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Feedback Finite-Time Stabilization of Impulsive Linear Systems over Piecewise Quadratic Domains by Jing Huang, Jianxing Li, Linshan Bu, Honglei Xu

“…Second, finite-time stability analysis over PQDs is implemented, and a variety of stability conditions involving differential linear matrix inequalities are investigated. Then, computationally tractable stability conditions are established for the control design. …”
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Finite-Time Stability of Large-Scale Systems with Interval Time-Varying Delay in Interconnection by T. La-inchua, P. Niamsup, Xinzhi Liu

“…Based on Lyapunov stability theory and new integral bounding technique, finite-time stability of large-scale systems with interval time-varying delays in interconnection is derived. …”
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Aperiodic Sampled-Data Control for Chaotic System Based on Takagi–Sugeno Fuzzy Model by Minjie Zheng, Shenhua Yang, Lina Li

“…Then, the criteria for mean square exponential stability analysis and aperiodic sampled-data controller synthesis are provided by means of linear matrix inequalities. And the real sampling patterns can be fully captured by constructing suitable Lyapunov functions. …”
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