On the zeros of discrete-time linear periodic systems
Circuits, Systems, and Signal Processing
Linear periodic systems and multirate filter design
IEEE Transactions on Signal Processing
Properties of modulated and demodulated systems with implications to feedback limitations
Automatica (Journal of IFAC)
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Zeros of continuous-time linear periodic systems are defined and their properties investigated. Under the assumption that the system has uniform relative degree, the zero-dynamics of the system is characterized and a closed-form expression of the blocking inputs is derived. This leads to the definition of zeros as unobservable characteristic exponents of a suitably defined periodic pair. The zeros of periodic linear systems satisfy blocking properties that generalize the well-known time-invariant case. Finally, an efficient computational scheme is provided that essentially amounts to solving an eigenvalue problem.