On the stability of hybrid homogeneous systems
- Authors: Alexandrov A.Y.1, Platonov A.V1
-
Affiliations:
- St. Petersburg State University, Faculty of Applied Mathematics and Control Processes
- Issue: Vol 14, No 2 (2010)
- Pages: 24-32
- Section: Articles
- Submitted: 18.02.2020
- Published: 15.06.2010
- URL: https://journals.eco-vector.com/1991-8615/article/view/21033
- ID: 21033
Cite item
Full Text
Abstract
About the authors
Alexander Yu Alexandrov
St. Petersburg State University, Faculty of Applied Mathematics and Control Processes
Email: alex431020060yandex.ru
(д.ф.-м.н., профессор), зав. кафедрой , каф. управления медико-биологическими системами; Санкт-Петербургский государственный университет, факультет прикладной математики - процессов управления; St. Petersburg State University, Faculty of Applied Mathematics and Control Processes
Alexey V Platonov
St. Petersburg State University, Faculty of Applied Mathematics and Control Processes
Email: al-platonlOyandex.ru
(к.ф.-м.н., доцент), доцент, каф. управления медико-биологическими системами; Санкт-Петербургский государственный университет, факультет прикладной математики - процессов управления; St. Petersburg State University, Faculty of Applied Mathematics and Control Processes
References
- Liberzon D., Morse A. S. Basic problems in stability and design of switched systems// Control Systems Magazine, IEEE, 1999. - Vol. 19, No. 5. - P. 59-70.
- Decarlo R. A., Branicky M. S., Pettersson S., Lennartson B. Perspectives and results on the stability and stabilizability of hybrid systems // Proc. of the IEEE, 2000. - Vol. 88, No. 7. - P. 1069-1082.
- Zhai С, Ни В., Yasuda К., Michel A. N. Disturbance attenuation properties of time-controlled switched systems// J. of the Franklin Institute, 2001. - Vol.338, No. 7. - P. 765-779.
- Зубов В. И. Устойчивость движения. - М.: Высш. шк., 1973. - 272 с.
- Rosier L. Homogeneous Lyapunov function for homogeneous continuous vector field// Systems and Control Letters, 1992. - Vol. 19, No. 6. - P. 467-473.
- Ла-Саллъ Ж., Лефшец С. Исследование устойчивости прямым методом Ляпунова. - М.: Мир, 1964. - 168 с.