Stabilization of all-pole unstable delay systems by fractional-order [PI] and [PD] controllers

2012 ◽  
Vol 35 (3) ◽  
pp. 257-266 ◽  
Author(s):  
Iraj Kheirizad ◽  
Ali Akbar Jalali ◽  
Khosro Khandani
Keyword(s):  
Fractional Order ◽  
Delay Systems

scholarly journals Some New Results for the Sobolev-Type Fractional Order Delay Systems with Noncompact Semigroup

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Qiaomin Xiang ◽  
Pengxian Zhu
Keyword(s):  
Fractional Order ◽  
Topological Structure ◽  
Existence Result ◽  
Delay Systems ◽  
Sobolev Type ◽  
Multivalued Maps ◽  
Solution Sets ◽  
Mild Conditions ◽  
Partial Differential Inclusions ◽  
Fixed Point Principle

The topological structure of solution sets for the Sobolev-type fractional order delay systems with noncompact semigroup is studied. Based on a fixed point principle for multivalued maps, the existence result is obtained under certain mild conditions. With the help of multivalued analysis tools, the compactness of the solution set is also obtained. Finally, we apply the obtained abstract results to the partial differential inclusions.

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