Global finite-time stabilization of a class of uncertain nonlinear systems

By Xianqing Huang, Wei Lin, Bo Yang. at - Automatisierungstechnik, 2005

1,142 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/2abf7dd7acebc5a1327339510e4225c421ccec3c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Aerospace Engineering

1. Ji Li
2. Yanjun Shen
3. Miroslav Krstic
4. Frank L. Lewis
5. Juliang Yin
6. Lihua Xie
7. Zhihong Man
8. Shengkui Zhao

In Control and Systems Engineering

1. Shihua Li
2. Xinghuo Yu
3. Zhihong Man
4. S. Khoo
5. Frank L. Lewis
6. Juliang Yin
7. Yanjun Shen
8. Shihong Ding

Citations in the corpus

• Continuous finite‐time state feedback stabilizers for some nonlinear stochastic systems (2015, methodology): “Motivated by the idea of adding a power integrator in [8, 21, 22], we then consider a two-dimensional lower-triangular stochastic system, and a constructive way is developed for the design of a continuous and finite-time stable state feedback controller.”
• Finite-time stabilization of stochastic nonlinear systems in strict-feedback form (2013, methodology): “This paper was recommended for publication in revised form by Associate Editor Changyun Wen under the direction of Editor Miroslav Krstic.”
• Stability analysis for a second-order continuous finite-time control system subject to a disturbance (2009, background): “In [ 3 ], a global finite-time stabilization control scheme for a class of uncertain nonlinear systems is proposed.”
• Multi‐surface sliding control for fast finite‐time leader–follower consensus with high order SISO uncertain nonlinear agents (2014, background): “0/D 0, (5) finite-time stability requires that every solution trajectory of (5) reaches the origin in a finite-time [35, 39].”
• Finite-Time Adaptive Fuzzy Tracking Control Design for Nonlinear Systems (2018, methodology): “Subsequently, based on the Lyapunov approach, the problems of finite-time stabilization of nonlinear systems were addressed in [28]–[34].”
• Finite-time stability and instability of stochastic nonlinear systems (2011, methodology): “where we have used Young’s inequality and an elementary inequality in Huang et al. (2005), that is,”
• Global output feedback stabilization of upper‐triangular nonlinear systems using a homogeneous domination approach (2006, methodology): “Proof To prove the result, we first explicitly construct a state feedback control law for system (14) using a recursive design method [15, 16] based on the adding a power integrator technique.”
• Robust Finite-Time Consensus Tracking Algorithm for Multirobot Systems (2009, background): “The classical Lyapunov stability theory is only applicable to a differential equation whose solution from any initial condition is unique [ 22 ].”
• Technical Notes and Correspondence Uniformly Observable and Globally Lipschitzian Nonlinear Systems Admit Global Finite-Time Observers (2009, methodology): “Inspired by this method and by construction of subtle homogeneous-like [10] Lyapunov functions, global finite-time stabilization of uncertain nonlinear systems was also achieved in [ 11 ].”
• Prescribed-Time Control and Its Latest Developments (2022, background): “The past few decades have witnessed much progress in FT control of dynamic systems [64], [65], [66], [67], [68], [69], [70], [71], [72], [73], [74], [75], [76].”