Fractional descriptor continuous–time linear systems described by the Caputo–Fabrizio derivative
نویسندگان
چکیده
منابع مشابه
Fractional Descriptor Continuous-Time Linear Systems Described by the Caputo-Fabrizio Derivative
The Weierstrass–Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor continuous-time linear systems described by the Caputo–Fabrizio derivative. A method for computing solutions of continuous-time systems is presented. Necessary and sufficient conditions for the positivity and stability of these systems are established. The discussion is illustrated ...
متن کاملDescriptor fractional linear systems with regular pencils
Methods for finding solutions of the state equations of descriptor fractional discrete-time and continuous-time linear systems with regular pencils are proposed. The derivation of the solution formulas is based on the application of the Z transform, the Laplace transform and the convolution theorems. Procedures for computation of the transition matrices are proposed. The efficiency of the propo...
متن کاملPositivity and stabilization of fractional 2D linear systems described by the Roesser model
A new class of fractional 2D linear discrete-time systems is introduced. The fractional difference definition is applied to each dimension of a 2D Roesser model. Solutions of these systems are derived using a 2D Z-transform. The classical Cayley-Hamilton theorem is extended to 2D fractional systems described by the Roesser model. Necessary and sufficient conditions for the positivity and stabil...
متن کاملRegularization of Linear Discrete-Time Periodic Descriptor Systems by Derivative and Proportional State Feedback
In this paper, we consider the regularization problem for the linear time-varying discrete-time periodic descriptor systems by derivative and proportional state feedback controls. Sufficient conditions are given under which derivative and proportional state feedback controls can be constructed so that the periodic closed-loop systems are regular and of index at most one. The construction proced...
متن کاملReduced-order fractional descriptor observers for fractional descriptor continuous-time linear system
Fractional descriptor reduced-order observers for fractional descriptor continuous-time linear systems are proposed. Necessary and sufficient conditions for the existence of the observers are established. The design procedure of the observers is given and is demonstrated on two numerical 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: International Journal of Applied Mathematics and Computer Science
سال: 2016
ISSN: 2083-8492
DOI: 10.1515/amcs-2016-0037