Results 41 to 50 of about 92,165 (305)
Photon‐Sphere Modes in Curved Optical Microcavities: A Black‐Hole Analogue Laser
Advanced Science, EarlyView.An optical analogue of a Schwarzschild black hole is realized using curved microcavities that preserve light‐like geodesics. A new family of laser modes confined around the photon sphere is identified alongside conventional whispering‐gallery modes. Analytical theory, numerical simulations, and experiments reveal curvature‐induced confinement, enabling
Chenni Xu +9 more
wiley +1 more source
An algorithm for constructing Lyapunov functions
Electronic Journal of Differential Equations, 2007 In this monograph we develop an algorithm for constructing Lyapunov functions for arbitrary switched dynamical systems $dot{mathbf{x}} = mathbf{f}_sigma(t,mathbf{x})$, possessing a uniformly asymptotically stable equilibrium.
Sigurdur Freyr Hafstein
doaj
Nonlinear Analysis, 2022 This paper investigates practical stability for a class of fractional-order impulsive control coupled systems with noninstantaneous impulses on networks.
Jin You, Shurong Sun
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Region of Attraction Estimation Using Invariant Sets and Rational Lyapunov Functions
, 2016 This work addresses the problem of estimating the region of attraction (RA) of equilibrium points of nonlinear dynamical systems. The estimates we provide are given by positively invariant sets which are not necessarily defined by level sets of a ...
Anderson, James, Valmorbida, Giorgio
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AI‐Enhanced Vibrational Capsule for Minimally Invasive Detection of Abnormal Bowel Tissue
Advanced Science, EarlyView.A fully integrated vibration‐assisted capsule is presented for the minimally invasive detection of bowel lesions. The capsule incorporates a wireless sensor and an eccentric motor to probe tissue mechanics in situ. By coupling triaxial vibration signals with AI‐based classification and analytical modeling, the system enables early, non‐visual ...
Xizheng Fang +6 more
wiley +1 more source
Lyapunov functions for dichotomies in mean
Electronic Journal of Differential Equations, 2017 We consider the notion of an exponential dichotomy in mean for a cocycle, in which the exponential behavior in the classical notion of an exponential dichotomy is replaced by an average with respect to an invariant probability measure.
Luis Barreira, Claudia Valls
doaj
Computational Stability Analysis of Lotka-Volterra Systems
Hungarian Journal of Industry and Chemistry, 2016 This paper concerns the computational stability analysis of locally stable Lotka-Volterra (LV) systems by searching for appropriate Lyapunov functions in a general quadratic form composed of higher order monomial terms.
Polcz Péter, Szederkényi
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A General Class of Throughput Optimal Routing Policies in Multi-hop Wireless Networks
, 2011 This paper considers the problem of throughput optimal routing/scheduling in a multi-hop constrained queueing network with random connectivity whose special case includes opportunistic multi-hop wireless networks and input-queued switch fabrics. The main
Javidi, Tara +2 more
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Feedback Stabilization and Lyapunov Functions [PDF]
SIAM Journal on Control and Optimization, 2000 The authors consider the problem of finding a feedback stabilizing law \(x \to k(x)\) associated with a control system \(x'(t) = f(x(t),u(t))\). Using the concept of positional strategies introduced in the framework of differential games by Krasovskii and Subbotin in 1988, assuming the existence of a Lyapunov Lipschitz function \(V\) defined on the ...
Clarke, F.H. +3 more
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Existence of Partially Quadratic Lyapunov Functions That Can Certify The Local Asymptotic Stability of Nonlinear Systems [PDF]
, 2022 Morgan Jones, Matthew M. Peet
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