Work

Fractional order optimal control problems with free terminal time

Year: 2013

Type: article

Abstract: We consider fractional order optimal control problems in whichthe dynamic control system involves integerand fractional order derivatives and the terminal time is free.Necessary conditions for a state/control/terminal-time tripletto be optimal are obtained. Situations with constraints presentat the end time are also considered.Under appropriate assumptions, it is shown that theobtained necessary optimality conditions become sufficient.Numerical methods to solve the problems are presented,and some computational simulations are discussed in detail.

Source: Journal of Industrial and Management Optimization

DOI: 10.3934/jimo.2014.10.363

Authors: Shakoor Pooseh, Ricardo Almeida, Delfim F. M. Torres

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2060304792

FWCI: 8.123

Cites: 18

Cited by: 98

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