Exponential Stability of Impulsive Cascaded Systems and its Application in Robot Control

Exponential Stability of Impulsive Cascaded Systems and its Application in Robot Control

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In this Specialty Item paper, we study the problem of exponential stability of impulsive cascaded systems.In particular, we provide some sufficient conditions that guarantee the exponential stability of the cascaded systems, provided that the two subsystems are also exponentially stable.The proof of the stability of the cascaded systems is based on the second Lyapunov method and the existence of converse theorems for the stability of impulsive systems.

Finally, the usefulness of our results is illustrated by its Computer Screen Cleaner application to the problem of trajectory tracking for a wheeled robot.