Sensitivity Analysis of Limit-Cycle Oscillating Hybrid Systems

• DOI: 10.1137/100804632
• Publication Date: 2011-07-07T18:24:20Z
• Authors: Kamil A. Khan; Vibhu P. Saxena; Paul I. Barton
• Keywords: Limit cycle; State variable

A theory is developed for local, first-order sensitivity analysis of limit-cycle oscillating hybrid systems, which are dynamical systems exhibiting both continuous-state and discrete-state dynamics whose state trajectories closed, isolated, time-periodic. Methods the computation initial-condition sensitivities parametric to account exactly any jumps in at discrete transitions exploit time-periodicity system. It shown that system can be represented as sum a time-decaying component time-periodic so they become periodic long-time limit. method decomposition into three parts, characterizing influence parameter changes on period, variable amplitudes, relative phases, respectively. The different types phases also described. methods this work applied particular models illustration, including jumps.