Integro-differential equations in angular stabilization of drone motion by distributed feedback control

Short summary

This paper proposes angular stabilization of drone motion using distributed feedback control via an integral operator with potentially unbounded memory. The authors develop a universal approach to study stability of integro-differential equations with unbounded memory, reducing them to systems of ordinary differential equations. They show that exponential kernels suffice for linear approximations while more complex kernel combinations can enhance stabilization, and apply results to drone flight control.

• •Proposes distributed feedback control for drone angular stabilization using integral operators
• •Reduces integro-differential equations to ODE systems for stability analysis
• •Demonstrates that complex kernel combinations enhance stabilization capabilities

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