Abstract

A stability analysis is presented that deals with the response of a nonlinear sampled-data system to a slowly varying exogenous input signal. The main result, similar to existing results for purely continuous-time and discrete-time systems, establishes that if the system possesses a manifold of exponentially stable constant operating points (equilibria) corresponding to constant values of the input signal, then an initial state close to this manifold and a slowly varying input signal yield a trajectory that remains close to the manifold. The analysis involves casting the sampled-data system as a continuous-time system with discrete jumps at the sampling instants.

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 call

Disclaimer: 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.