Adaptive prescribed-time control for biological systems with invasive species

This paper studied a problem of prescribed-time control for biological systems with invasive species. A new prescribed-time stability theorem was proposed within the framework of adaptive control. Utilizing this theorem, a novel state feedback control strategy was designed using the backstepping method for biological systems with unknown parameters, ensuring convergence within a prescribed time. A noval feature of the proposed controller was its continuous time-varying feedback structure, which guaranteed that all system states converged to a stable equilibrium point within the prescribed time. Importantly, the prescribed time was independent of initial conditions and could be adjusted arbitrarily within physical constraints, thus offering significant flexibility in practical applications. To verify the effectiveness of the proposed algorithm, corresponding simulation experiments were provided in this paper, demonstrating its robustness and efficiency in achieving the desired control objectives. This work not only advanced the theoretical foundation of prescribed-time control but also provided practical solutions for managing biological systems threatened by invasive species.