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  • "Tento projekt se zaměřuje na studium podmínek optimality 2. řádu v úlohách variačního počtu a optimálního řízení na ""time scales"". Tyto podmínky se týkají nezápornosti (tj. nutné podmínky optimality) a pozitivity či koercivity (tj. postačující podmínky optimality) příslušných kvadratických funkcionálů druhé variace, zejména pak jejich charakterizace pomocí konjugovaných a sdružených bodů a řešení Jacobiho a Riccatiho dynamických rovnic." (cs)
  • The focus of this project is the study of 2nd order optimality conditions in calculus of variations and optimal control problems on time scales. These conditions are based on the nonnegativity (i.e. necessary optimality conditions) and the positivity or coercivity (i.e. sufficient optimality conditions) of the corresponding quadratic functionals of the second variation. In particular, we will study their characterizations in terms of conjugate and coupled points, and the solvability of the associated Jacobi and Riccati dynamic equations. (en)
Title
  • "Podmínky optimality na ""time scales""" (cs)
  • Optimality conditions on time scales (en)
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  • Time scale, Quadratic functional, Variable endpoints, Conjugate and coupled point, Jacobi equation, Riccati equation, Nonnegativity, Positivity, Coercivity, Disconjugacy, Optimality conditions (en)
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