Opamp-based synthesis of a fractional order switched system

2016 ◽  
Author(s):  
E. Zambrano-Serrano ◽  
J.M. Munoz-Pacheco ◽  
E. Campos-Canton
Keyword(s):  
Fractional Order ◽  
Switched System

Necessary and Sufficient Condition on Controllability and Reachability of Fractional-Order Linear Switched System

2014 ◽  
Vol 541-542 ◽  
pp. 1319-1326
Author(s):  
Cheng Deng ◽  
Wei Zhu
Keyword(s):  
Analytical Solution ◽  
Hybrid Systems ◽  
Fractional Order ◽  
Switched System ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Order Linear ◽  
Arbitrary Switching ◽  
Necessary And Sufficient ◽  
Important System

Fractional-order linear switched system (FLSS) is an important system of hybrid systems. In this paper, by using the analytical solution of FLSS, the necessary and sufficient condition on controllability and reachability of FLSS is given, respectively. The condition shows that if every subsystem is controllable (reachable), then the whole system is also controllable (reachable) for arbitrary switching rules. And if the whole system is controllable (reachable) for arbitrary switching rules, then every subsystem is controllable (reachable).

scholarly journals Stabilization of autonomous linear time invariant fractional order derivative switched systems with different derivative in subsystems

2014 ◽  
Vol 62 (3) ◽  
pp. 495-503 ◽  
Author(s):  
S. Balochian
Keyword(s):  
Fractional Order ◽  
Linear Time ◽  
Variable Structure ◽  
Switched System ◽  
Linear Matrix ◽  
Sufficient Condition ◽  
Linear Time Invariant ◽  
Necessary And Sufficient ◽  
Time Invariant ◽  
Derivative Order

Abstract In this paper, the stabilization problem of a autonomous linear time invariant fractional order (LTI-FO) switched system with different derivative order in subsystems is outlined. First, necessary and sufficient condition for stability of an LTI-FO switched system with different derivative order in subsystems based on the convex analysis and linear matrix inequality (LMI) for two subsystems is presented and proved. Also, sufficient condition for stability of an LTI-FO switched system with different derivative order in subsystems for more than two subsystems is proved. Then a sliding sector is designed for each subsystem of the LTI-FO switched system. Finally, a switching control law is designed to switch the LTI-FO switched system among subsystems to ensure the decrease of the norm of the switched system. Simulation results are given to show the effectiveness of the proposed variable structure controller.

Stability in a Discrete Fractional Order Prey Predator System with Functional Response

2017 ◽  
Vol 7 (5) ◽  
pp. 630-633 ◽  
Author(s):  
A. George Maria Selvam ◽  
◽  
R. Janagaraj ◽  
Britto Jacob. S ◽  
◽  
...  
Keyword(s):  
Functional Response ◽  
Fractional Order ◽  
Predator System
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