Exact Asymptotic Stability Analysis and Region-of-Attraction Estimation for Nonlinear Systems
Abstract and Applied Analysis, 2013 We address the problem of asymptotic stability and region-of-attraction analysis of nonlinear dynamical systems. A hybrid symbolic-numeric method is presented to compute exact Lyapunov functions and exact estimates of regions of attraction of nonlinear ...
Min Wu, Zhengfeng Yang, Wang Lin
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Carbon Management, 2020 This is the first study that analyses the interactive relationships of carbon dioxide (CO2) emissions between China and Taiwan, two industrial dependent regions, by applying Lotka-Volterra equations.
Bi-Huei Tsai, Cheng-Chi Chen
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Data‐driven emulation of flow‐dependent background‐error variance in variational data assimilation
Quarterly Journal of the Royal Meteorological Society, EarlyView.A machine‐learning approach is developed to emulate flow‐dependent background‐error variance within a variational data assimilation framework. The method reproduces uncertainty information that would normally require a 50‐member ensemble using only five members, while maintaining comparable observation fit and forecast performance.
Wei Pan +3 more
wiley +1 more source
Finite Time Stability of Stochastic Hybrid Systems
Abstract and Applied Analysis, 2014 This paper considers the finite time stability of stochastic hybrid systems, which has both Markovian switching and impulsive effect. First, the concept of finite time stability is extended to stochastic hybrid systems.
Ying Yang, Guopei Chen
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Stabilization of a nonlinear Euler-Bernoulli viscoelastic beam subjected to a neutral delay [PDF]
Theoretical and Applied MechanicsAn approach is implemented in this article to analyze the decay rate of nonlinear beams according to the Euler–Bernoulli equation in the context of rheological viscoelastic damping deformations taking into account the neutral type delay.
Lakehal Ibrahim +2 more
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A survey on Lyapunov functions for epidemic compartmental models. [PDF]
Boll Unione Mat Ital (2008), 2023 Cangiotti N +3 more
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Adaptive Sliding‐Mode Control of a Perturbed Diffusion Process With Pointwise In‐Domain Actuation
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT A sliding mode–based adaptive control law is proposed for a class of diffusion processes featuring a spatially‐varying uncertain diffusivity and equipped with several point‐wise actuators located at the two boundaries of the spatial domain as well as in its interior.
Paul Mayr +3 more
wiley +1 more source
ALGORITHM OF DETERMINATION OF NON-STATIONARY NONLINEAR SYSTEMS FULL STABILITY AREAS
Российский технологический журнал, 2017 The paper proposes a numerical algorithm for constructing piecewise linear Lyapunov functions for investigating the absolute stability of nonlinear nonstationary systems.
V. P. Berdnikov
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Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang +3 more
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MODIFIED ALGORITHM FOR DETERMINATION OF FULL STABILITY AREAS IN NONSTATIONARY NONLINEAR SYSTEMS
Российский технологический журнал, 2018 The paper proposes a numerical algorithm for constructing Lyapunov spline functions for investigating the absolute stability of nonlinear nonstationary systems.
V. P. Berdnikov
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