Results 21 to 30 of about 1,863,570 (246)
Mathematics, 2021 Nowadays, solving constrained engineering problems related to optimization approaches is an attractive research topic. The chaotic krill herd approach is considered as one of most advanced optimization techniques.
Messaoud Aloui +5 more
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Lion Secretly Solves Constrained Optimization: As Lyapunov Predicts
CoRR, 2023 Lion (Evolved Sign Momentum), a new optimizer discovered through program search, has shown promising results in training large AI models. It performs comparably or favorably to AdamW but with greater memory efficiency. As we can expect from the results of a random search program, Lion incorporates elements from several existing algorithms, including ...
Lizhang Chen +3 more
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Lyapunov optimization of a damped system
Systems & Control Letters, 2004 Our aim is to optimize the damping of a linear vibrating system. The penalty function is the average total energy, which is equal to the trace of the corresponding Lyapunov solution. We prove the existence and the uniqueness of the global minimum, if the damping varies over the set of all possible positive definite matrices.
Steven J. Cox +3 more
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Two-Stage Computation Offloading Scheduling Algorithm for Energy-Harvesting Mobile Edge Computing
Energies, 2019 Recently, mobile edge computing (MEC) technology was developed to mitigate the overload problem in networks and cloud systems. An MEC system computes the offloading computation tasks from resource-constrained Internet of Things (IoT) devices. In addition,
Laihyuk Park +4 more
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Distributed gradient-based consensus optimization algorithm and convergence analysis
工程科学学报, 2020 A distributed optimization problem is cooperatively solved by a network of agents, which have significant applications in many science and engineering fields, such as metallurgical engineering.
Shu LIANG, Kaixiang PENG
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Nonlinear Analysis, 2023 This article studies the distributed optimization problem for multi-agent systems with communication delays and external disturbances in a directed network.
Xuening Xu +3 more
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Lyapunov stability analysis of higher-order 2D systems
, 2010 We prove a necessary and sufficient condition for the asymptotic stability of a 2D system described by a system of higher-order linear partial difference equations.
Paolo Rapisarda +8 more
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Convex optimization methods for computing the Lyapunov exponent of matrices [PDF]
2013 European Control Conference (ECC), 2013 We introduce a new approach to evaluate the largest Lyapunov exponent of a family of nonnegative matrices. The method is based on using special positive homogeneous functionals on $R^{d}_+,$ which gives iterative lower and upper bounds for the Lyapunov exponent. They improve previously known bounds and converge to the real value.
Protasov, Vladimir +1 more
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Lyapunov matrices approach to the parametric optimization of a neutral system
Archives of Control Sciences, 2016 In the paper a Lyapunov matrices approach to the parametric optimization problem of a neutral system with a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of Lyapunov functional for the ...
Duda Jozef
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Energies, 2023 With the high penetration of renewable energy resources, power systems are facing increasing challenges in terms of flexibility and regulation capability. To address these, energy storage systems (ESSs) have been deployed on both transmission systems and
Zekai Xu +3 more
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