Homogeneous Control Systems on Cones and Nonovershooting Finite-time Stabilizers

Andrey Polyakov; Miroslav Krstic

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Homogeneous Control Systems on Cones and Nonovershooting Finite-time Stabilizers

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arxiv 2305.08951 v1 pith:5TRR4QRA submitted 2023-05-15 math.OC cs.SYeess.SY

Homogeneous Control Systems on Cones and Nonovershooting Finite-time Stabilizers

Andrey Polyakov , Miroslav Krstic This is my paper

classification math.OC cs.SYeess.SY

keywords nonovershootingcontrolfinite-timehomogeneousinput-to-statelinearsafetystability

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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.

Homogeneous Control Systems on Cones and Nonovershooting Finite-time Stabilizers

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