Control analysis of virotherapy chaotic system

In this work, we consider a chaotic system that plays a vital role in the treatment of cancer by injection of a virus externally. Due to the sensitivity of this disease, most of its treatments are highly risky. Therefore, we have designed control inputs using adaptive and passive control techniques for virotherapy. Both controllers are designed to bring global stability to the cancer system with the aid of a quadratic Lyapunov function. Furthermore, we use simulations to verify our controllers. Moreover, we show that our adaptive control technique gives better results in comparison.

Automated summary

This study considers a chaotic system involved in virus injection for cancer treatment, and designs adaptive and passive control techniques for the therapy. Both controllers, aided by a quadratic Lyapunov function, are able to achieve global stability of the cancer system, while the adaptive control technique shows better results.