Results 81 to 90 of about 51,564 (313)
A Linear Generalization of Gronwall's Inequality [PDF]
Proceedings of the American Mathematical Society, 1965 where k(t, s) and w0(t) are known non-negative functions and u(t) is an unknown non-negative function. For examples, one can refer to Bellman [l, pp. 35 ff.], Coddington and Levinson [2, pp. 37 ff.], Willett [3], and others. In order to obtain from (1.1) a genuine upper bound for u(t), i.e., an upper bound independent of u, it seems necessary to ...
openaire +1 more source
An integral analogue of the Ostrowski inequality
Journal of Inequalities and Applications, 1998 We give an integral analogue of the Ostrowski inequality and several extensions, allowing in particular for multiple linear constraints.
Pečarić J +2 more
doaj
Novel Gabor-Type Transform and Weighted Uncertainty Principles
MathematicsThe linear canonical Fourier transform is one of the most celebrated time-frequency tools for analyzing non-transient signals. In this paper, we will introduce and study the deformed Gabor transform associated with the linear canonical Dunkl transform ...
Saifallah Ghobber, Hatem Mejjaoli
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Abstract and Applied Analysis, 2014 This paper deals with the problem of robust model predictive control (RMPC) for a class of linear time-varying systems with constraints and data losses. We take the polytopic uncertainties into account to describe the uncertain systems.
Deyin Yao +3 more
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Trust‐region filter algorithms utilizing Hessian information for gray‐box optimization
AIChE Journal, EarlyView.Abstract Optimizing industrial processes often involves gray‐box models that couple algebraic glass‐box equations with black‐box components lacking analytic derivatives. Such systems challenge derivative‐based solvers. The classical trust‐region filter (TRF) algorithm provides a robust framework but requires extensive parameter tuning and numerous ...
Gul Hameed +4 more
wiley +1 more source
A trust‐region funnel algorithm for gray‐box optimization
AIChE Journal, EarlyView.Abstract Gray‐box optimization, where parts of optimization problems are represented by algebraic models while others are treated as black‐box models lacking analytic derivatives, remains a challenge. Trust‐region (TR) methods provide a robust framework for gray‐box problems through local reduced models (RMs) for black‐box components, but they are ...
Gul Hameed +4 more
wiley +1 more source
MATEC Web of Conferences, 2018 A mathematical model is presented for determining the rational machining conditions for flat grinding operations by the rim of a wheel on machines with a rectangular table consisting of a linear objective function and linear inequality constraints.
Skuratov Dmitriy L. +2 more
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AIChE Journal, EarlyView.Abstract Under time‐varying electricity prices, the production costs of Power‐to‐X processes with intermediate storage can be reduced by simultaneously optimizing the process unit design and size with their scheduling and operation. However, the production cost sensitivity to optimal process design or scheduling is unclear, especially when several ...
Simone Mucci, Dominik Bongartz
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Graph‐based imitation and reinforcement learning for efficient Benders decomposition
AIChE Journal, EarlyView.Abstract This work introduces an end‐to‐end graph‐based agent for accelerating the computational efficiency of Benders Decomposition. The agent's policy is parameterized by a graph neural network, which takes as input a bipartite graph representation of the master problem and proposes a candidate solution.
Bernard T. Agyeman +3 more
wiley +1 more source
A Lyapunov-Type Inequality for a Fractional Differential Equation under a Robin Boundary Condition
Journal of Function Spaces, 2015 We establish a new Lyapunov-type inequality for a class of fractional differential equations under Robin boundary conditions. The obtained inequality is used to obtain an interval where a linear combination of certain Mittag-Leffler functions has no real
Mohamed Jleli +2 more
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