Double Integrator

The double integrator, a fundamental model representing systems with acceleration as the control input, is a key focus in control theory research, particularly concerning consensus and navigation problems in multi-agent systems and robotic applications. Current research emphasizes robust control strategies, addressing challenges like disturbances, sensor biases, and varying communication topologies, often employing adaptive control algorithms and Lyapunov-based stability analysis. These advancements are significant for improving the performance and reliability of autonomous systems, particularly in complex and uncertain environments.