Results 11 to 20 of about 21 (21)
Duality in the optimal control for damped hyperbolic systems with positive control
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 27, Page 1703-1714, 2003., 2003 We study the duality theory for damped hyperbolic equations. These systems have positive controls and convex cost functionals. Our main results lie in the application of duality theorem, that is, inf J = sup K, on various cost functions.
Mi Jin Lee +2 more
wiley +1 more source
Duality models for some nonclassical problems in the calculus of variations
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 66, Page 4145-4182, 2003., 2003 Parametric and nonparametric necessary and sufficient optimality conditions are established for a class of nonconvex variational problems with generalized fractional objective functions and nonlinear inequality constraints containing arbitrary norms. Based on these optimality criteria, ten parametric and parameter‐free dual problems are constructed and
G. J. Zalmai
wiley +1 more source
On the convergence of min/sup points in optimal control problems
Abstract and Applied Analysis, Volume 6, Issue 1, Page 35-52, 2001., 2001 We modify the definition of lopsided convergence of bivariate functionals to obtain stability results for the min/sup points of some control problems. In particular, we develop a scheme of finite dimensional approximations to a large class of non‐convex control problems.
Adib Bagh
wiley +1 more source
A remark on Gwinner′s existence theorem on variational inequality problem
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 8, Page 573-575, 2000., 2000 Gwinner (1981) proved an existence theorem for a variational inequality problem involving an upper semicontinuous multifunction with compact convex values. The aim of this paper is to solve this problem for a multifunction with open inverse values.
V. Vetrivel, S. Nanda
wiley +1 more source
Duality in the optimal control of hyperbolic equations with positive controls
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 3, Page 181-188, 2000., 2000 We study the duality theory for hyperbolic equations. Also, we consider distributed control systems with positive control and convex cost functionals.
Jong Yeoul Park, Mi Jin Lee
wiley +1 more source
Robust Set Separation Via Exponentials. [PDF]
Nonlinear Anal Theory Methods Appl, 2001 Dandurova Y, Yeganova L, Falk JE.
europepmc +1 more source
Robust Separation of Multiple Sets. [PDF]
Nonlinear Anal Theory Methods Appl, 2001 Yeganova LE, Falk JE, Dandurova YV.
europepmc +1 more source
Set Separation Problems and Global Optimization. [PDF]
Nonlinear Anal Theory Methods Appl, 2001 Falk JE, Dandurova Y, Yeganova L.
europepmc +1 more source
Comparison between different duals in multiobjective fractional programming
Open Mathematics, 2007 Boţ Radu, Chares Robert, Wanka Gert
doaj +1 more source