Results 81 to 90 of about 1,863,570 (246)
Asian Journal of Control, EarlyView.ABSTRACT The synchronization accuracy between the wafer stage and reticle stage in lithography is critical to overlay and critical dimension uniformity. Existing iterative learning control (ILC) methods indirectly optimize synchronization via time‐domain errors, failing to balance low‐frequency tracking accuracy and high‐frequency noise suppression ...
Xin Zhou +4 more
wiley +1 more source
A polynomial algebraic approach to Lyapunov stability analysis of higher-order 2D systems
, 2010 We introduce a four-variable polynomial matrix equation which plays an essential role in the stability analysis of discrete 2-D systems and in the computation of Lyapunov functions for such systems; we call this the 2-D polynomial Lyapunov equation (2-D ...
Kojima, Chiaki +2 more
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Intelligent End-Edge Computation Offloading Based on Lyapunov-Guided Deep Reinforcement Learning
Applied SciencesTo address the end-edge computation offloading challenge in the multi-terminal and multi-server environment, this paper proposes an intelligent computation offloading algorithm based on Lyapunov optimization and deep reinforcement learning.
Xue Feng +4 more
doaj +1 more source
Lyapunov-based optimizing control of nonlinear blending processes [PDF]
IEEE Transactions on Control Systems Technology, 2005 Blending processes consisting of linear dynamics and a static nonlinearity are considered. We propose a control law that optimizes the equilibrium point of the process and regulates the output to the corresponding equilibrium state. A control Lyapunov function (CLF) is used to derive a stable optimizing update law for the equilibrium point, in ...
Tor Arne Johansen, Daniel Sbarbaro
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In the present investigation, a mathematical model with vaccination, treatment, and environmental impact under real data is presented. Initially, we present the model without any interventions, followed by an examination of its equilibrium points.
Bashir Al‐Hdaibat +4 more
wiley +1 more source
IEEE AccessThis paper proposes a semantic Sparse Code Multiple Access (SCMA) broadcast framework for Uncrewed Aerial Vehicle (UAV)-assisted Internet of Vehicles (IoV) networks, integrating structural state optimization with Lyapunov-guided Deep Reinforcement ...
Nguyen Huu Trung +3 more
doaj +1 more source
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT In this study, a robust position control strategy is presented for a two‐stage electro‐hydraulic actuator system using a fractional‐order proportional–integral–derivative (FOPID) controller tuned by Kirchhoff's law algorithm (KLA). Electro‐hydraulic systems exhibit strong nonlinearities, parameter uncertainties, and external disturbances ...
Ridvan Firat Cinar +8 more
wiley +1 more source
Lyapunov Arguments in Optimization [PDF]
, 2018 Optimization is among the richest modeling languages in science. In statistics and machine learning, for instance, inference is typically posed as an optimization problem.
Wilson, Ashia
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A convex optimization approach to the Lyapunov exponents
, 2023 The aim of this paper is to shed more light on some recent ideas about Lyapunov exponents and clarify the formal structures behind these ideas. In particular, we show that the vector of averaged Lyapunov exponents of a smooth measure-preserving dynamical system can be regarded as the solution to a vector-valued optimization problem on a space $\mathcal{
openaire +2 more sources
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Fractional calculus, with its unique advantage in describing memory and nonlocal effects, has become a key tool for modeling nonlinear dynamic systems. Its integration with circuit systems has opened up a new paradigm for modern circuit design.
Zhimo Jian +4 more
wiley +1 more source