Abstract
In this work, an approximate method is proposed to simultaneously compute an analytic solution for the mean exit time statistics in a bi-stable system with combined Gaussian and Poisson white noise excitations. Firstly, the method employs a perturbation scheme coupled with the Laplace integral method to estimate the mean exit time analytically. Then, a bi-stable system under both external and parametric excitations of combined Gaussian and Poisson white noises are investigated illustratively with the proposed technique, and effects of noise intensity and random magnitude of impulses on the mean exit time are discussed respectively. Finally, the effectiveness of the theoretical results is verified by means of Monte Carlo simulation, and good agreement will be observed.
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.
