Stability (learning theory)

Physics

Nonlinear system

Variable structure control

Mathematics

Sliding mode control

Gene

Operating system

Machine learning

Artificial intelligence

Control (management)

Chemistry

Programming language

Geometry

Constant (computer programming)

Computer science

Mode (computer interface)

Quantum mechanics

Robust control

Control theory (sociology)

Biochemistry

Scalar (mathematics)

Robustness (evolution)

IEEE Transactions on Automatic Control

This article deals with robust fixed-time stability and stabilization. First, new global robust fixed-time stability results are proposed for scalar systems by using constant and variable exponent coefficients. Then, they are applied to global robust fixed-time stabilization of a class of uncertain nonlinear second-order systems by using sliding-mode control. All the results are illustrated in simulation.

Robust Fixed-Time Stability: Application to Sliding-Mode Control