| Title |
Intermittent and adaptive control strategies for chaos suppression in a cancer model |
| Authors |
Jonuškaitė, Rugilė ; Telksnienė, Inga |
| DOI |
10.3390/mca30040081 |
| Full Text |
|
| Is Part of |
Mathematical and computational applications.. Basel : MDPI. 2025, vol. 30, iss. 4, art. no. 81, p. 1-18.. ISSN 1300-686X. eISSN 2297-8747 |
| Keywords [eng] |
adaptive control ; cancer model ; chaos control ; intermittent control ; nonlinear dynamics |
| Abstract [eng] |
The chaotic dynamics observed in mathematical models of cancer can correspond to the unpredictable tumor growth and treatment responses seen in clinical settings. Suppressing this chaos is a significant challenge in theoretical oncology. This paper investigates and compares four distinct control strategies designed to stabilize a chaotic three-dimensional tumor-immune interaction model. The objective is to steer the system from its chaotic attractor to a target unstable periodic orbit, representing a transition to a more regular and predictable dynamic. The strategies, all based on the external force control paradigm, include continuous control, a simple state-dependent intermittent control, an improved intermittent control with a minimum activation duration to suppress chattering, and an adaptive intermittent control with a time-varying feedback gain. The performance of each strategy is quantitatively evaluated based on tracking accuracy and the required control effort. |
| Published |
Basel : MDPI |
| Type |
Journal article |
| Language |
English |
| Publication date |
2025 |
| CC license |
|
