Journal of Optimization Theory and Applications
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Approximate solution of a class of singular control problems
Journal of Optimization Theory and Applications - Tập 13 - Trang 461-483 - 1974
A class of singular control problems involving amplitude constraints on the controls is examined. IfL
∞ is the space of control functionsU, the control constraint setS can be identified with the unit ball inL
∞. Now, for anyn ∈ (1, ∞), an analogous problem may be set up withL
n
forU and the unit ball inL
n
forS. This modified ......
Structural weight minimization using necessary and sufficient conditions
Journal of Optimization Theory and Applications - Tập 8 - Trang 454-466 - 1971
This paper considers problems of weight minimization of complex, determinate or indeterminate structures, subject to inequality constraints. Limitations of size of the structural members, allowable stresses, natural frequencies, etc., furnish constraints on the design. We are here principally concerned with the theoretical determination of the necessary and sufficient conditions relating a propose......
Minimization Algorithms Based on Supervisor and Searcher Cooperation
Journal of Optimization Theory and Applications - Tập 111 Số 2 - Trang 359-379 - 2001
On Convergence Results for Weak Efficiency in Vector Optimization Problems with Equilibrium Constraints
Journal of Optimization Theory and Applications - Tập 133 - Trang 117-121 - 2007
In this note, we prove that the convergence results for vector optimization problems with equilibrium constraints presented in Wu and Cheng (J. Optim. Theory Appl. 125, 453–472, 2005) are not correct. Actually, we show that results of this type cannot be established at all. This is due to the possible lack, even under nice assumptions, of lower convergence of the solution map for equilibrium prob......
On Modified Halpern and Tikhonov–Mann Iterations
Journal of Optimization Theory and Applications - Tập 197 - Trang 233-251 - 2023
We show that the asymptotic regularity and the strong convergence of the modified Halpern iteration due to T.-H. Kim and H.-K. Xu and studied further by A. Cuntavenapit and B. Panyanak and the Tikhonov–Mann iteration introduced by H. Cheval and L. Leuştean as a generalization of an iteration due to Y. Yao et al. that has recently been studied by Boţ et al. can be reduced to each other in general g......
Exponential Stability for Uncertain Dynamic Systems with Time-Varying Delays: LMI Optimization Approach
Journal of Optimization Theory and Applications - Tập 137 - Trang 521-532 - 2008
In this paper, we consider dynamic systems with uncertainties and time-varying delays. Based on the Lyapunov method and convex optimization approach, a delay-dependent criterion for exponential stability of the system is derived in terms of LMI (linear matrix inequality). In order to solve effectively the LMI convex optimization problem, an interior-point algorithm is utilized in this work. Numeri......
On Higher-Order Sensitivity Analysis in Nonsmooth Vector Optimization
Journal of Optimization Theory and Applications - Tập 162 - Trang 463-488 - 2013
We propose the notion of higher-order radial-contingent derivative of a set-valued map, develop some calculus rules and use them directly to obtain optimality conditions for several particular optimization problems. Then we employ this derivative together with contingent-type derivatives to analyze sensitivity for nonsmooth vector optimization. Properties of higher-order contingent-type derivative......
Nearest q-Flat to m Points
Journal of Optimization Theory and Applications - Tập 105 - Trang 249-252 - 2000
Recently, Bradley and Mangasarian studied the problem of finding the nearest plane to m given points in ℝn in the least square sense. They showed that the problem reduces to finding the least eigenvalue and associated eigenvector of a certain n×n symmetric positive-semidefinite matrix. We extend this result to the general problem of finding the nearest q-flat to m points, with 0≤q≤n−1.
Hierarchical multi-objective decision systems for general resource allocation problems
Journal of Optimization Theory and Applications - Tập 35 - Trang 517-533 - 1981
We consider optimization methods for hierarchical power-decentralized systems composed of a coordinating central system and plural semi-autonomous local systems in the lower level, each of which possesses a decision making unit. Such a decentralized system where both central and local systems possess their own objective function and decision variables is a multi-objective system. The central syste......
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