Homogeneous Control Systems on Cones and Nonovershooting Finite-time Stabilizers

Published 15 May 2023 in math.OC, cs.SY, and eess.SY | (2305.08951v1)

Abstract: A nonovershooting finite-time control design for linear multi-input system is proposed by upgrading a linear (asymptotic) nonovershooting stabilizer to a homogeneous one. Robustness of the safety and stability properties is analyzed using the concept of Input-to-State Stability (ISS) on invariant sets and Input-to-State Safety (ISSf). Theoretical results are illustrated on numerical examples.

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