18171

Автор(ы): 

Автор(ов): 

1

Параметры публикации

Тип публикации: 

Тезисы доклада

Название: 

Bilevel optimization in stability analysis of nonlinear dynamical systems

Наименование конференции: 

  • 25th European Conference on Operational Research (EURO 2012, Vilnius, Lithuania)

Наименование источника: 

  • Preprint of the 25-th European Conference on Operational Research «EURO 2012» (Vilnius, Lithuania)

Город: 

  • Vilnius

Издательство: 

  • The Association of European Operational Research Societies

Год издания: 

2012

Страницы: 

73
Аннотация
We consider region of attraction for a dynamical system - a set of points from which system trajectories go to a stable equilibrium. One can estimate it via the sublevel sets of a positive definite Lyapunov function, which is decreasing along any trajectory in the region. We formulate this task as a bilevel optimization over the function parameters and system state variables. On the lower level we have minimization of the function with nonconvex equality constraint. On the upper level a size estimation of a sublevel set needs to be maximized. Local improvement algorithm is discussed.

Библиографическая ссылка: 

Деменков М.Н. Bilevel optimization in stability analysis of nonlinear dynamical systems / Preprint of the 25-th European Conference on Operational Research «EURO 2012» (Vilnius, Lithuania). Vilnius: The Association of European Operational Research Societies, 2012. С. 73.