Homogeneous Control Systems on Cones and Nonovershooting Finite-time Stabilizers

2023/05/15 by Andrey Polyakov, Miroslav Krstić, Polyakov, Andrey +1
Engineering · #93 #Advanced Control Systems Optimization #FOS: Electrical engineering #FOS: Mathematics #Fault Detection and Control Systems #Optimization and Control (math.OC) #Stability and Control of Uncertain Systems #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2305.08951

openalex publication_date 2023/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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