NDLI: Stability of nonlinear hybrid dynamical systems with time delay via sum of squares decomposition

Content Provider	Springer Nature Link
Author	Badamchizadeh, Mohammad Ali Khanmohammadi, Sohrab Alizadeh, Gasem Aghagolzade, Ali
Copyright Year	2009
Abstract	Considering an infinite number of eigenvalues for time delay systems, it is difficult to determine their stability. We have developed a new approach for the stability test of time delay nonlinear hybrid systems. Construction of Lyapunov functions for hybrid systems is generally a difficult task, but once these functions are found, stability’s analysis of the system is straight-forward. In this paper both delay-independent and delay-dependent stability tests are proposed, based on the construction of appropriate Lyapunov-Krasovskii functionals. The methodology is based on the sum of squares decomposition of multivariate polynomials and the algorithmic construction is achieved through the use of semidefinite programming. The reduction techniques provide numerical solution of large-scale instances; otherwise they will be computationally infeasible to solve. The introduced method can be used for hybrid systems with linear or nonlinear vector fields. Finally simulation results show the correctness and validity of the designed method.
Starting Page	331
Ending Page	339
Page Count	9
File Format	PDF
ISSN	15986446
Journal	International Journal of Control, Automation and Systems
Volume Number	7
Issue Number	3
Language	English
Publisher	Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers
Publisher Date	2009-05-30
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Hybrid systems semidefinite programming stability sum of square time delay Control Robotics Mechatronics
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Computer Science Applications

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