Real and complex analysis, 3rd ed.
Real and complex analysis, 3rd ed.
Nonlinear dynamical control systems
Nonlinear dynamical control systems
Finite-time stabilization of uncertain nonlinear planar systems
Dynamics and Control
Adding an integrator for the stabilization problem
Systems & Control Letters
Stabilization by output feedback for systems with ISS inverse dynamics
Systems & Control Letters
On characterizations of the input-to-state stability property
Systems & Control Letters
Partial-state global stabilization for general triangular systems
Systems & Control Letters
A Smooth Converse Lyapunov Theorem for Robust Stability
SIAM Journal on Control and Optimization
Nonlinear control design: geometric, adaptive and robust
Nonlinear control design: geometric, adaptive and robust
A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems
Automatica (Journal of IFAC)
Robust nonlinear control design: state-space and Lyapunov techniques
Robust nonlinear control design: state-space and Lyapunov techniques
Finite-Time Stability of Continuous Autonomous Systems
SIAM Journal on Control and Optimization
Nonlinear Control Systems II
Nonlinear and Adaptive Control Design
Nonlinear and Adaptive Control Design
L2-Gain and Passivity Techniques in Nonlinear Control
L2-Gain and Passivity Techniques in Nonlinear Control
Feedback Systems: Input-Output Properties
Feedback Systems: Input-Output Properties
Finite Time Stability and Robust Control Synthesis of Uncertain Switched Systems
SIAM Journal on Control and Optimization
Design of Robust Adaptive Controllers for Nonlinear Systems with Dynamic Uncertainties
Automatica (Journal of IFAC)
Survey Constructive nonlinear control: a historical perspective
Automatica (Journal of IFAC)
Input-to-state stability of networked control systems
Automatica (Journal of IFAC)
Global finite-time stabilization of a class of uncertain nonlinear systems
Automatica (Journal of IFAC)
Brief paper: Finite-time stability and instability of stochastic nonlinear systems
Automatica (Journal of IFAC)
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This paper extends the well-known concept, Sontag's input-to-state stability (ISS), to finite-time control problems. In other words, a new concept, finite-time input-to-state stability (FTISS), is proposed and then is applied to both the analysis of finite-time stability and the design of finite-time stabilizing feedback laws of control systems. With finite-time stability, nonsmoothness has to be considered, and serious technical challenges arise in the design of finite-time controllers and the stability analysis of the closed-loop system. It is found that FTISS plays an important role as the conventional ISS in the context of asymptotic stability analysis and smooth feedback stabilization. Moreover, a robust adaptive controller is proposed to handle nonlinear systems with parametric and dynamic uncertainties by virtue of FTISS and related arguments.