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 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 operation igloo white 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 application to iphone 13 pro max price winnipeg the problem of trajectory tracking for a wheeled robot.