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作者:Lu, Yafei; Gao, Chuanhou; Dochain, Denis
作者单位:Zhejiang University; Universite Catholique Louvain
摘要:This article contributes to extending the validity of Lyapunov function partial differential equations (PDEs) whose solution is conjectured to be able to behave as a Lyapunov function in stability analysis to more mass-action chemical reaction networks. First, we have proved that the Lyapunov function PDEs method is valid in capturing the asymptotic stability of the networks compounded of a complex balanced network and any species-dependent two-species autocatalytic network if some moderate co...
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作者:Haimovich, Hernan; Fridman, Leonid; Moreno, Jaime A.
作者单位:Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET); National University of Rosario; Universidad Nacional Autonoma de Mexico; Universidad Nacional Autonoma de Mexico
摘要:Application of sliding-mode control strategies based on (generalized) super-twisting (ST) algorithms in the presence of time- and state-dependent perturbations is highly challenging. One of the difficulties lies in the occurrence of a kind of algebraic loop; the bounds required for control design require bounds on the control variable, which itself depends on the control to be designed. Existing results were able to partially solve this problem by means of one form of generalized ST, provided ...
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作者:Ding, Shihong; Mei, Keqi; Yu, Xinghuo
作者单位:Jiangsu University; Royal Melbourne Institute of Technology (RMIT)
摘要:This article proposes an adaptive second-order sliding mode (ASOSM) controller design by means of the Lyapunov method. The notable feature of the proposed algorithm is that it only needs boundedness of the uncertainties, whereas boundedness of the derivatives of uncertainties is not demanded. Under the proposed ASOSM control scheme, the gain can be dynamically tuned, which avoids gain overestimation. The finite-time stability of the closed-loop ASOSM dynamics is proved via the Lyapunov theory....
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作者:Hu, Bin; Tamba, Tua A.
作者单位:Old Dominion University; Universitas Katolik Parahyangan
摘要:This article considers a codesign problem for industrial networked control systems to ensure both stability and efficiency properties of such systems. This problem is particularly challenging due to the fact that wireless communications in industrial environments are not only subject to shadow fading, but also stochastically correlated with their surrounding environments. This article first introduces a novel state-dependent Markov channel (SD-MC) model that explicitly captures the state-depen...