On application of Rothe's fixed point theorem to study the controllability of fractional semilinear systems with delays

Title:

On application of Rothe's fixed point theorem to study the controllability of fractional semilinear systems with delays

Creator:

Sikora, Beata

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:1335d4f2-2113-45c9-b86b-cb63ba4672f4
uuid:1335d4f2-2113-45c9-b86b-cb63ba4672f4
doi:10.14736/kyb-2019-4-0675

Subject:

the Caputo derivative, delays in control, fractional systems, semilinear control systems, Rothe's fixed point theorem, and pseudo-transition matrix

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The paper presents finite-dimensional dynamical control systems described by semilinear fractional-order state equations with multiple delays in the control and nonlinear function f. The relative controllability of the presented semilinear system is discussed. Rothe's fixed point theorem is applied to study the controllability of the fractional-order semilinear system. A control that steers the semilinear system from an initial complete state to a final state at time t>0 is presented. A numerical example is provided to illustrate the obtained theoretical results and a practical example is given to show a possible application of the study.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

675-689

Source:

Kybernetika | 2019 Volume:55 | Number:4

Harvested from:

CDK

Metadata only:

false