Abstract
We give some explicit stability bounds for discrete-time systems subjected to time-varying and nonlinear perturbations. The obtained results are extensions of some well-known results in (Hinrichsen and Son in Int. J. Robust Nonlinear Control 8:1169-1188, 1998; Shafai et al. in IEEE Trans. Autom. Control 42:265-270, 1997) to nonlinear time-varying perturbations. Two examples are given to illustrate the obtained results. Finally, we present an Aizerman-type conjecture for discrete-time systems and show that this conjecture is valid for positive systems. MSC: 39A30; 93D09
Highlights
Introduction and preliminariesDiscrete-time equations have numerous applications in science and engineering
We investigate exponential stability of discrete-time systems subjected to nonlinear time-varying perturbations
Some explicit stability bounds for discrete-time systems subjected to nonlinear time-varying perturbations are given
Summary
Introduction and preliminariesDiscrete-time equations have numerous applications in science and engineering. We investigate exponential stability of discrete-time systems subjected to nonlinear time-varying perturbations. Some explicit stability bounds for discrete-time systems subjected to nonlinear time-varying perturbations are given. The zero solution of ( ) is said to be exponentially stable if there exist M ≥ and β ∈ [ , ) such that
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
