Stabilizability theorem of discrete-time nonlinear systems with scalar parameters
LIU Zhao-bo
LI Chan-ying
Abstract：This paper advances [1] by deducing a stabilizability theorem for discrete-time nonlinear systems with scalar parameters, which takes a step forward to the complete characterization of feedback limitations in discrete-time adaptive nonlinear control. It is well-known that exponent 4 is an important critical number to characterize the feedback capability for the basic discrete-time scalar-parameter systems, which are governed by power functions. As an application of our theorem, a new critical number 2 is derived for a typical class of discrete-time nonlinear stochastic systems with scalar parameters.
Keywords：feedback limitationsadaptive controlleast squaresstabilizabilitynonlinear systemsdiscrete time
Publication Date：2019-11-28
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：7( 1929-1935 )