Necessary and sufficient conditions for the second order discrete and differential inclusions with viable constraints

作者: Gülseren Çiçek

DOI: 10.1063/1.5095096

关键词:

摘要: Necessary and sufficient conditions ensuring the existence of a solution to viability problems for differential inclusions second order have been studied in recent years. However optimization second-order with viable constraints considered this paper not examined yet. In present we derive optimality Mayer problem discrete constraints. Applying necessary geometric constraints, are formulated. Using Locally Ad-joint Mapping conceive approximation problem. Passing limit, optimal established.

参考文章(12)
Elimhan N. Mahmudov, Optimization of Second-Order Discrete Approximation Inclusions Numerical Functional Analysis and Optimization. ,vol. 36, pp. 624- 643 ,(2015) , 10.1080/01630563.2015.1014048
A. Auslender, J. Mechler, Second Order Viability Problems for Differential Inclusions Journal of Mathematical Analysis and Applications. ,vol. 181, pp. 205- 218 ,(1994) , 10.1006/JMAA.1994.1015
Philip D. Loewen, R. T. Rockafellar, Optimal Control of Unbounded Differential Inclusions Siam Journal on Control and Optimization. ,vol. 32, pp. 442- 470 ,(1994) , 10.1137/S0363012991217494
Bernard Cornet, Georges Haddad, Théorèmes de viabilité pour les inclusions différentielles du second ordre Israel Journal of Mathematics. ,vol. 57, pp. 225- 238 ,(1987) , 10.1007/BF02772175
Myelkebir Aitalioubrahim, Said Sajid, Second-order viability result in Banach spaces Discussiones Mathematicae. Differential Inclusions, Control and Optimization. ,vol. 30, pp. 5- 21 ,(2010) , 10.7151/DMDICO.1109
Gulseren Cicek, Elimhan Mahmudov, The Problem of Mayer for Discrete and Differential Inclusions with Initial Boundary Constraints Applied Mathematics & Information Sciences. ,vol. 10, pp. 1719- 1728 ,(2016) , 10.18576/AMIS/100510
Jean-Pierre Aubin, Viability theory ,(1991)
Elimhan N. Mahmudov, Optimization of Mayer Problem with Sturm–Liouville-Type Differential Inclusions Journal of Optimization Theory and Applications. ,vol. 177, pp. 345- 375 ,(2018) , 10.1007/S10957-018-1260-2
Elimhan N. Mahmudov, , , Optimal control of second order delay-discrete and delay-differential inclusions with state constraints Evolution Equations & Control Theory. ,vol. 7, pp. 501- 529 ,(2018) , 10.3934/EECT.2018024