Both parametric and nonparametric necessary and sufficient optimality conditions are established for a class of nonsmooth constrained optimal control problems with fractional objective functions and linear dynamics. Moreover, using the forms and contents of these optimality principles, four parametr
Numerical method for a class of optimal control problems subject to nonsmooth functional constraints
β Scribed by C.Z. Wu; K.L. Teo; Yi Zhao
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 181 KB
- Volume
- 217
- Category
- Article
- ISSN
- 0377-0427
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β¦ Synopsis
In this paper, we consider a class of optimal control problems which is governed by nonsmooth functional inequality constraints involving convolution. First, we transform it into an equivalent optimal control problem with smooth functional inequality constraints at the expense of doubling the dimension of the control variables. Then, using the Chebyshev polynomial approximation of the control variables, we obtain an semi-infinite quadratic programming problem. At last, we use the dual parametrization technique to solve the problem.
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## Abstract In this paper we consider a general class of optimal control problems involving integrodifferential equations. The integral equation component is a Volterra integral equation with convolution kernel. A method is proposed to approximate the kernel which gives rise to a system of ordinary