Free Time Optimization of Second-Order Differential Inclusions with Endpoint Constraints

Elimhan N. Mahmudov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


The present paper deals with the optimal control theory given by second-order differential inclusions (PC) with a non-fixed time interval and endpoint constraints. Our aim is to establish well-verifiable sufficient conditions of optimality for second-order differential inclusions. Thus, the sufficient conditions, including distinctive t1-attainability condition ones, are formulated by using the Euler-Lagrange and Hamiltonian type of inclusions. Here, the basic apparatus of locally adjoint mappings (LAMs) is suggested. Application of these results is illustrated by solving some linear control problem with second-order differential inclusions.

Original languageEnglish
Pages (from-to)129-143
Number of pages15
JournalJournal of Dynamical and Control Systems
Issue number1
Publication statusPublished - 1 Jan 2018

Bibliographical note

Publisher Copyright:
© 2017, Springer Science+Business Media New York.


  • Attainability
  • Differential inclusion
  • Euler-Lagrange
  • Free time
  • Second order


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