Geodesy

Quantum mechanics

Adaptive control

Benchmark (surveying)

Control (management)

Engineering

Control engineering

Stability (learning theory)

Economics

Computer science

Mathematical optimization

Mechanical engineering

Physics

Nonlinear system

Mathematics

Geography

Lyapunov function

Artificial intelligence

Stabilizer (aeronautics)

Finance

Control theory (sociology)

Order (exchange)

Machine learning

Automatica

This paper addresses the problem of global finite-time adaptive stabilization for a class of high-order uncertain nonlinear systems. A new finite-time stability result is established to provide a less conservative estimation of convergent time in uncertain situation, and a state feedback stabilizer with an adaptive mechanism is constructed by applying continuous domination to adaptive fashion of the systems to be considered. The main novelty of this paper is the skillful development of an analytic strategy and the delicate selection of Lyapunov functions in searching for the adaptive fast finite-time stabilizer. A benchmark example is given to demonstrate the effectiveness of the proposed strategy.

Fast finite-time stability and its application in adaptive control of high-order nonlinear system