Duality and sufficiency for fractional control problems with invexity

被引：0

作者：

Patel, R.B. ^{[1
]}

机构：

[1] South Gujarat Univ, Surat, India

来源：

Nonlinear Analysis, Theory, Methods and Applications | 1999年 / 35卷 / 05期

关键词：

Boundary conditions - Integral equations - Integration - Matrix algebra - Problem solving - Theorem proving;

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暂无

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学科分类号：

摘要：

The control problem is to transfer the state variable from an initial state x0 at t0 to a final state xf at tf so as to minimize a given functional, subject to constraints on the control and state variables. To demonstrate this definition, the primal problem, (P) Minimize ∫t(0)t(f) (f(t,x,u)/k(t,x,u))dt. subject to x(t0) = x0, x(tf) = xf, G(t,x,u) = x′, R(t,x,u)≥0, where f(t,x,u) and k(t,x,u) are real functions, was studied.

引用

页码：541 / 548