Approximate solution of a class of singular control problemsJournal of Optimization Theory and Applications - Tập 13 - Trang 461-483 - 1974
R. B. Vinter
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 ...... hiện toàn bộ
Structural weight minimization using necessary and sufficient conditionsJournal of Optimization Theory and Applications - Tập 8 - Trang 454-466 - 1971
William A. McNeill
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...... hiện toàn bộ
Performance Limits Analysis of Nonlinear Model Predictive Control SystemsJournal of Optimization Theory and Applications - Tập 168 - Trang 53-62 - 2015
X. Cai, S. Y. Li, N. Li
This note provides a method to estimate the infinite-time performance of nonlinear model predictive control schemes. Based on principle of optimality, the upper and lower bounds of the ratio between the costs of model predictive control and finite-horizon optimal control are obtained.
On Convergence Results for Weak Efficiency in Vector Optimization Problems with Equilibrium ConstraintsJournal of Optimization Theory and Applications - Tập 133 - Trang 117-121 - 2007
M. B. Lignola, J. Morgan
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...... hiện toàn bộ
On Modified Halpern and Tikhonov–Mann IterationsJournal of Optimization Theory and Applications - Tập 197 - Trang 233-251 - 2023
Horaţiu Cheval, Ulrich Kohlenbach, Laurenţiu Leuştean
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...... hiện toàn bộ
Feedback Nash equilibria in a problem of optimal fishery managementJournal of Optimization Theory and Applications - Tập 64 - Trang 293-310 - 1990
S. Jørgensen, G. Sorger
The paper deals with a problem of optimal management of a common-property fishery, modelled as a two-player differential game. Under nonclassical assumptions on harvest rates and utilities, a feedback Nash equilibrium is determined, using a bionomic equilibrium concept. Later on, this assumption is relaxed and a feedback Nash equilibrium is established under minimal hypotheses.
On the Generic Structure and Stability of Stackelberg EquilibriaJournal of Optimization Theory and Applications - Tập 183 - Trang 840-880 - 2019
Alberto Bressan, Yilun Jiang
We consider a noncooperative Stackelberg game, where the two players choose their strategies within domains
$$X\subseteq {{\mathbb {R}}}^m$$
and
$$Y\subseteq {{\mathbb ...... hiện toàn bộ