<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>A control strategy is derived for fractional-order dynamic systems with Caputo derivative to guarantee collision-free trajectories for two agents. To guarantee that one agent keeps the state of the system out of a given set regardless of the other agent’s actions a Lyapunov-based approach is adopted. As a special case showing that the given approach to choosing proposed strategy is constructive for a fractional-order system with the Caputo derivative, a linear system as an example is discussed. Obtained results extend to the fractional order case the avoidance problem Leitman’s and Skowronski’s approach.</p>
</abstract>

A control strategy is derived for fractional-order dynamic systems with Caputo derivative to guarantee collision-free trajectories for two agents. To guarantee that one agent keeps the state of the system out of a given set regardless of the other agent’s actions a Lyapunov-based approach is adopted. As a special case showing that the given approach to choosing proposed strategy is constructive for a fractional-order system with the Caputo derivative, a linear system as an example is discussed. Obtained results extend to the fractional order case the avoidance problem Leitman’s and Skowronski’s approach.

Avoidence Strategies for Fractional Order Systems with Caputo Derivative

Faculty of Mechanical Engineering, Department of Mechatronics Systems and Robotics

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Avoidence Strategies for Fractional Order Systems with Caputo Derivative"}

A control strategy is derived for fractional-order dynamic systems with Caputo derivative to guarantee collision-free trajectories for two agents. To guarantee...

Avoidence Strategies for Fractional Order Systems with Caputo Derivative

Published Online: Dec 30, 2023

Page range: 570 - 574

Received: Nov 19, 2022

Accepted: Jun 06, 2023

DOI: https://doi.org/10.2478/ama-2023-0066

Keywords
Avoidence, fractional order systems, Caputo derivative, Lyapunov stability

© 2023 Ewa Pawłuszewicz, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Avoidence Strategies for Fractional Order Systems with Caputo Derivative

Published Online: Dec 30, 2023

Page range: 570 - 574

Received: Nov 19, 2022

Accepted: Jun 06, 2023

DOI: https://doi.org/10.2478/ama-2023-0066

KeywordsAvoidence, fractional order systems, Caputo derivative, Lyapunov stability

© 2023 Ewa Pawłuszewicz, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Avoidence, fractional order systems, Caputo derivative, Lyapunov stability