Generalized Clarke epiderivatives of the extremum multifunction to a multi-objective parametric discrete optimal control problem.

Autor:	Toan, Nguyen Thi
Předmět:	MATHEMATICAL programming CONVEX programming EQUATIONS of state LINEAR equations SENSITIVITY analysis
Zdroj:	Journal of Industrial & Management Optimization; Jul2022, Vol. 18 Issue 4, p2705-2720, 16p
Abstrakt:	This paper deals with the generalized Clarke epiderivative of the extremum multifunction of a multi-objective parametric convex discrete optimal control problem with linear state equations and control constraints. By establishing an abstract result on the generalized epiderivative of the extremum multifunction of a multi-objective parametric convex mathematical programming problem, we derive a formula for computing the generalized Clarke epiderivative of the extremum multifunction to a multi-objective parametric convex discrete optimal control problem. Examples are given to illustrate the obtained results. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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