Chaotifying a stable LTI system by wavelet function

This paper is concerned with chaotification of a stable linear time-invariant (LTI) system in finite-dimensional real spaces. By using feedback controller of wavelet function, the controlled system is proved to be chaotic in the sense of Devaney. The advantage of using wavelet to control stable system is that much of the control energy can be saved and the control expense is economical. So it is convenient to realize in project.