There is no History Report for Perspectives or their scheduled reports. However, for SysAdmin Users, the 'Admin: Audit' grid does contain the changes made to the table 'USERS_PERSPECTIVE' which will provide most of the information needed to rebuild a lost Perspective. This grid does contain a large amount of records so it is recommended to begin looking by adding a filter to the 'Table Name' (USERS_PERSPECTIVE) and 'Date' columns.
Currently if any changes are made to the Perspective the scheduled report is tied to, the scheduled report is removed as the newly changed perspective is considered new. Whenever a Perspective is changed, any desired scheduled reports would need to be re-added.
Common examples of changes that might be made to Perspectives is the addition of a new column on a grid, or the removal of an existing column on a grid.