14589

Автор(ы): 

Автор(ов): 

1

Параметры публикации

Тип публикации: 

Пленарный доклад

Название: 

Stability Analysis of Nonlinear Switched Systems via Reduction Method.

Наименование конференции: 

  • 18th IFAC World Congress (Milano, Italy, 2011)

Наименование источника: 

  • Proceedings of the 18th IFAC World Congress (Milano, 2011)

Город: 

  • Милан

Издательство: 

  • IFAC Publication

Год издания: 

2011

Страницы: 

5718-5723
Аннотация
Stability of nonlinear switched systems is discussed. A method of constructing the common (scalar and vector) Lyapunov functions is proposed for switched systems whose equations have homogenous right-hand sides and for switched large-scale systems containing homogeneous subsystems. With the aid of homomorphic mapping the problem of stability for nonhomogeneous nonlinear systems is reduced to an auxiliary problem, which is easier to analyze. Matrix homomorphism is used for the purpose of ellipsoidal estimation of nonlinear dynamics of the polynomial class of systems. Certain applications are mentioned.

Библиографическая ссылка: 

Васильев С.Н. Stability Analysis of Nonlinear Switched Systems via Reduction Method. / Proceedings of the 18th IFAC World Congress (Milano, 2011). Милан: IFAC Publication, 2011. С. 5718-5723.