Results 71 to 80 of about 3,504,804 (362)
Exponential Stability of Switched Positive Homogeneous Systems
This paper studies the exponential stability of switched positive nonlinear systems defined by cooperative and homogeneous vector fields. In order to capture the decay rate of such systems, we first consider the subsystems.
Dadong Tian, Shutang Liu
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The main purpose of this paper is to investigate the strong convergence and exponential stability in mean square of the exponential Euler method to semi-linear stochastic delay differential equations (SLSDDEs).
Ling Zhang
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ON A STABILITY OF PEXIDERIZED EXPONENTIAL EQUATION [PDF]
Abstract. We prove the Hyers-Ulam stability of a Pexiderized exponen-tial equation of mappings f,g,h : G×S → C, where G is an abelian groupand S is a commutative semigroup which is divisible by 2. As an applica-tion we obtain a stability theorem for Pexiderized exponential equationin Schwartz distributions. 1.
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Beyond Order: Perspectives on Leveraging Machine Learning for Disordered Materials
This article explores how machine learning (ML) revolutionizes the study and design of disordered materials by uncovering hidden patterns, predicting properties, and optimizing multiscale structures. It highlights key advancements, including generative models, graph neural networks, and hybrid ML‐physics methods, addressing challenges like data ...
Hamidreza Yazdani Sarvestani+4 more
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This study explores aerosol jet‐printed (AJP) surface roughness, its effects on the performance of microwave electronics, and its process contributors. First, an electromagnetic model is vetted for AJP's unique roughness signature. Simulations are built which show process‐induced roughness is as significant as conductor resistivity in driving microwave
Christopher Areias, Alkim Akyurtlu
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Stabilization of a Class of Stochastic Systems with Time Delays
The problem of exponential stability is investigated for a class of stochastic time-delay systems. By using the decomposition technique and Lyapunov stability theory, two improved exponential stability criteria are derived.
Jian Wang, Cuixia Li
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From Nature to Engineering: Mortar Volume and Interfacial Mechanics in Bioinspired Ceramics
Inspired by natural armors like nacre, this study explores how varying the volume fraction of the soft mortar layer impacts the interfacial strength and toughness of bioinspired ceramics. Experimental and computational analysis reveals that higher mortar volumes increase energy dissipation but reduce interfacial stiffness, offering insights for ...
Ehsan Azad+4 more
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Exponential Stability of Impulsive Delay Differential Equations
The main objective of this paper is to further investigate the exponential stability of a class of impulsive delay differential equations. Several new criteria for the exponential stability are analytically established based on Razumikhin techniques ...
G. L. Zhang, M. H. Song, M. Z. Liu
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Linearization and exponential stability
We give sufficient conditions such that the exponential stability of the linearization of a non-linear system implies that the non-linear system is (locally) exponentially stable. One of these conditions is that the non-linear system is Fr chet differential at the equilibrium, if it is only Gateaux differentiable, then we show by means of an example ...
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High‐Temperature Oxidation of the CrFeNi Medium‐Entropy Alloy
The oxidation behavior of equiatomic CrFeNi MEA is a key issue that determines this material's suitability for high‐temperature application. The understanding of long‐term behavior is even more crucial than short‐term corrosion effects. The alloy is exposed to synthetic air at 1000, 1050, and 1100 °C for 24, 100, and 1000 h and systematically compared ...
Anna Maria Manzoni+5 more
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