All

What are you looking for?

All
Projects
Results
Organizations

Quick search

  • Projects supported by TA ČR
  • Excellent projects
  • Projects with the highest public support
  • Current projects

Smart search

  • That is how I find a specific +word
  • That is how I leave the -word out of the results
  • “That is how I can find the whole phrase”

Sufficiency and sensitivity for nonlinear optimal control problems on time scales via coercivity

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F18%3A00100737" target="_blank" >RIV/00216224:14310/18:00100737 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1051/cocv/2017070" target="_blank" >http://dx.doi.org/10.1051/cocv/2017070</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1051/cocv/2017070" target="_blank" >10.1051/cocv/2017070</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Sufficiency and sensitivity for nonlinear optimal control problems on time scales via coercivity

  • Original language description

    The main focus of this paper is to develop a sufficiency criterion for optimality in nonlinear optimal control problems defined on time scales. In particular, it is shown that the coercivity of the second variation together with the controllability of the linearized dynamic system are sufficient for the weak local minimality. The method employed is based on a direct approach using the structure of this optimal control problem. The second aim pertains to the sensitivity analysis for parametric control problems defined on time scales with separately varying state endpoints. Assuming a slight strengthening of the sufficiency criterion at a base value of the parameter, the perturbed problem is shown to have a weak local minimum and the corresponding multipliers are shown to be continuously differentiable with respect to the parameter. A link is established between (i) a modification of the shooting method for solving the associated boundary value problem, and (ii) the sufficient conditions involving the coercivity of the accessory problem, as opposed to the Riccati equation, which is also used for this task. This link is new even for the continuous time setting.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GA16-00611S" target="_blank" >GA16-00611S: Hamiltonian and symplectic systems: oscillation and spectral theory</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2018

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    ESAIM: Control, Optimisation and Calculus of Variations

  • ISSN

    1292-8119

  • e-ISSN

  • Volume of the periodical

    24

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    FR - FRANCE

  • Number of pages

    30

  • Pages from-to

    1705-1734

  • UT code for WoS article

    000461018200017

  • EID of the result in the Scopus database