On the Continuous Finite-Time Stabilization of the Double Integrator

DOI10.1137/20M136459XzbMath1485.93527OpenAlexW4220997900MaRDI QIDQ5065056

Arturo Zavala-Rio, Tonametl Sanchez, Griselda I. Zamora-Gómez

Publication date: 18 March 2022

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m136459x

zbMATH Keywords

double integratorcontinuous finite-time controlexponential stability with respect to a homogeneous normfinite-time stability/stabilization

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Exponential stability (93D23) Finite-time stability (93D40)

Related Items (3)

A more exhaustive study on the finite‐time and exponential tracking continuous control for constrained‐input mechanical systems: Improved design and experiments ⋮ A generalised proportional-derivative type scheme with multiple saturating structure for the finite-time and exponential tracking continuous control of Euler–Lagrange systems with bounded inputs ⋮ Design of finite-/fixed-time ISS-Lyapunov functions for mechanical systems

Cites Work

• Finite time stability and stabilization of a class of continuous systems
• Stability theory by Liapunov's direct method
• Finite-time control for robot manipulators
• Stability of dynamical systems. Continuous, discontinuous, and discrete systems
• Geometric homogeneity with applications to finite-time stability
• Global Finite-Time Stability Characterized Through a Local Notion of Homogeneity
• Finite Time Controllers
• Averaging Results and the Study of Uniform Asymptotic Stability of Homogeneous Differential Equations That Are Not Fast Time-Varying
• Sliding order and sliding accuracy in sliding mode control
• Exponential stabilization of driftless nonlinear control systems using homogeneous feedback
• Continuous finite-time stabilization of the translational and rotational double integrators
• On an output feedback finite-time stabilization problem
• Finite Time Stability and Robust Control Synthesis of Uncertain Switched Systems
• Finite-Time Stability of Continuous Autonomous Systems
• Continuous Uniform Finite Time Stabilization of Planar Controllable Systems
• Robust finite-time output feedback stabilisation of the double integrator
• Local-homogeneity-based global continuous control for mechanical systems with constrained inputs: finite-time and exponential stabilisation
• Homogeneous Approximation, Recursive Observer Design, and Output Feedback
• Finite Time Stabilization of a Perturbed Double Integrator—Part I: Continuous Sliding Mode-Based Output Feedback Synthesis
• Liapunov functions and stability in control theory
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