Journal ArticleDOI
Finite-time stabilization and stabilizability of a class of controllable systems
Yiguang Hong,Yiguang Hong +1 more
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TLDR
In this paper, finite-time control problem of a class of controllable systems is considered and explicit formulae are proposed for the finite time stabilization of a chain of power-integrators, and discussions about a generalized class of nonlinear systems are given.About:
This article is published in Systems & Control Letters.The article was published on 2002-07-23. It has received 577 citations till now. The article focuses on the topics: Explicit formulae & Class (set theory).read more
Citations
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Journal ArticleDOI
Geometric homogeneity with applications to finite-time stability
TL;DR: A result relating regularity properties of a homogeneous function to its degree of homogeneity and the local behavior of the dilation near the origin makes it possible to extend previous results on homogeneous systems to the geometric framework.
Journal ArticleDOI
Global finite-time stabilization of a class of uncertain nonlinear systems
Xianqing Huang,Wei Lin,Bo Yang +2 more
TL;DR: It is proved that global finite-time stabilizability of uncertain nonlinear systems that are dominated by a lower-triangular system can be achieved by Holder continuous state feedback.
Journal ArticleDOI
Homogeneous Approximation, Recursive Observer Design, and Output Feedback
TL;DR: A new global asymptotic stabilization result by output feedback for feedback and feedforward systems is proposed by combining a new recursive observer design procedure for a chain of integrator.
Journal ArticleDOI
Quasi-continuous high-order sliding-mode controllers
TL;DR: A universal finite-time-convergent controller is developed capable to control the output of any uncertain single-input-single-output system with a known permanent relative degree r.
Journal ArticleDOI
Finite-time control for robot manipulators ☆
TL;DR: The study of the finite-time control problem from second-order systems to a large class of higher order nonlinear systems and the effectiveness of the proposed approach is illustrated by both theoretical analysis and computer simulation.
References
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Journal ArticleDOI
Finite-Time Stability of Continuous Autonomous Systems
TL;DR: It is shown that the regularity properties of the Lyapunov function and those of the settling-time function are related and converse Lyap Unov results can only assure the existence of continuous Lyap unov functions.
Journal ArticleDOI
Continuous finite-time stabilization of the translational and rotational double integrators
TL;DR: A class of bounded continuous time-invariant finite-time stabilizing feedback laws is given for the double integrator because Lyapunov theory is used to prove finite- time convergence.
Journal ArticleDOI
Optimal control: An introduction to the theory and ITs applications
Stephen Kahne,E. Lee +1 more
Book
Optimal Control. An Introduction to the Theory and Its Applications
Michael Athans,Peter Falb +1 more
Book
Liapunov functions and stability in control theory
Andrea Bacciotti,Lionel Rosier +1 more
TL;DR: Differential equations and differential inclusions of strict Liapunov functions have been studied in this paper for time invariant systems and time varying systems, as well as generalized derivatives.
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Continuous finite-time stabilization of the translational and rotational double integrators
Global finite-time stabilization of a class of uncertain nonlinear systems
Xianqing Huang,Wei Lin,Bo Yang +2 more