ROBUST OUTPUT STABILITY PROPERTIES FOR NONLINEAR DELAY SYSTEMS
Document Type
Article
Publication Title
Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
Publication Date
1-1-2023
Abstract
Motivated by the regulator theory and adaptive controls, several notions on output stability in the framework of input-to-state stability (iss) were introduced for finite-dimensional systems. It turned out that these output stability notions are intrinsically different, reflecting different manners of how state variables may affect the transient be-havior of output variables. In this work, we consider these output stability properties for delay systems. Our main objective is to illustrate how the various notions are related for delay systems and to provide Razumikhin criteria for the output stability properties. The main results are also critical in developing the converse Lyapunov theorems of the output stability properties for delay systems.
Volume
30
Issue
4
First Page
225
Last Page
270
Recommended Citation
Kankanamalage, H., Lin, Y., & Wang, Y. (2023). ROBUST OUTPUT STABILITY PROPERTIES FOR NONLINEAR DELAY SYSTEMS. Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, 30 (4), 225-270. Retrieved from https://docs.rwu.edu/fcas_fp/1022
ISSN
14928760
