Results 261 to 270 of about 10,424 (290)

New Global Optimality Conditions in Optimal Control Theory

SIAM Journal on Control and Optimization, 1983
We give global optimality conditions expressed in terms of a function $\phi $ which satisfies conditions related to the Hamilton–Jacobi equation. Thus our results are in the spirit of sufficient conditions for optimality associated with Caratheodory in the calculus of variations, and of the verification theorems of optimal control theory.
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Global Optimality Conditions for Nonnormal Control Problems

IMA Journal of Mathematical Control and Information, 1985
Let a standard deterministic optimal control problem be given, together with a feasible trajectory. It is well known that if the Hamilton-Jacobi equation (HJ) has a smooth solution relative to the given trajectory, then the trajectory is optimal. \textit{F. H. Clarke} and \textit{R. B. Vinter} [SIAM J.
Vinter, R. B., Mendoza, L. A.
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On global search based on global optimality conditions

1994
We consider two kinds of nonconvex problems: convex maximization and reverseconvex optimization. Using the new information about the problems in the form of Global Optimality Search Algorithms [1–5], we construct Global Search Algorithms and study their global convergence.
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Optimality Conditions for Nonconvex Nonsmooth Optimization via Global Derivatives

Journal of Optimization Theory and Applications, 2019
The lower and upper global directional derivatives of a proper function \(h:\mathbb{R}^{n}\rightarrow \overline{\mathbb{R}}\) at \(\overline{x}\in\mathrm{dom}\, h\) in the direction \(u\in \mathbb{R}^{n}\) are defined by \(h_{\epsilon }(\overline{x};u):=\inf_{t\in ]0,\epsilon ]}\frac{h(\overline{x}+tu)-h(\overline{x})}{t}\) and \(h^{\epsilon ...
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Global optimality conditions for nonlinear optimization problems

Evolutionary Intelligence, 2022
Haitao Zhong, Mingfa Zheng, Wei Chen, Aoyu Zheng   +3 more
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On Global Optimality Conditions and Cutting Plane Algorithms

Journal of Optimization Theory and Applications, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Global Optimality Conditions and Near-Perfect Optimization in Coding

2005
Finding ways of recognizing global optimum is the very fundamental, unsolved problem in existing optimization theories. We can not establish a true theory of optimization without it. Also, it is very hard to construct effective algorithms for finding global optimum. This paper presented a new optimization principle, called cooperative optimization, for
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Optimality conditions and global convergence for nonlinear semidefinite programming

Mathematical Programming, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Roberto Andreani, Gabriel Haeser, Daiana S. Viana   +2 more
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Second-order global optimality conditions for convex composite optimization

Mathematical Programming, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Global Optimality Conditions for Optimal Control Problems with Functions of A.D. Alexandrov

Journal of Optimization Theory and Applications, 2013
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