Extending the Root-Locus Method to Fractional-Order Systems
نویسندگان
چکیده
منابع مشابه
Extending the Root-Locus Method to Fractional-Order Systems
The well-known root-locus method is developed for special subset of linear time-invariant systems known as fractional-order systems. Transfer functions of these systems are rational functions with polynomials of rational powers of the Laplace variable s. Such systems are defined on a Riemann surface because of their multivalued nature. A set of rules for plotting the root loci on the first Riem...
متن کاملRoot locus of fractional linear systems
In this paper an algorithm for the calculation of the root locus of fractional linear systems is presented. The proposed algo rithm takes advantage of present day computational resources and processes directly the characteristic equation, avoiding the limitations revealed by standard methods. The results demonstrate the good performance for different types of expressions.
متن کاملStability analysis of fractional-order nonlinear Systems via Lyapunov method
In this paper, we study stability of fractional-order nonlinear dynamic systems by means of Lyapunov method. To examine the obtained results, we employe the developed techniques on test examples.
متن کاملExtending -systems to bases of root systems
Let R be an indecomposable root system. It is well known that any root is part of a basis B of R. But when can you extend a set of two or more roots to a basis B of R? A -system is a linearly independent set of roots, C , such that if ̨ and ˇ are in C , then ̨ ˇ is not a root. We will use results of Dynkin and Bourbaki to show that with two exceptions, A3 Bn and A7 E8, an indecomposable -system...
متن کاملstability analysis of fractional-order nonlinear systems via lyapunov method
in this paper, we study stability of fractional-order nonlinear dynamic systems by means of lyapunov method. to examine the obtained results, we employe the developed techniques on test examples.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Applied Mathematics
سال: 2008
ISSN: 1110-757X,1687-0042
DOI: 10.1155/2008/528934