Zero Input Response
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In electrical circuit theory, the Zero Input Response or ZIR is the behavior or response of a circuit with zero inputs. The ZIR results only from the initial state of the circuit and not from any external drive. The ZIR is also called the natural response, and the resonant frequencies of the ZIR are called the natural frequencies.
Given a description of a system in the s-domain, the zero-state response can be described as Y(s)=Init(s)/a(s) where a(s) and Init(s) are system-specific.
The total response of the circuit is the superposition of the ZIR and the ZSR, or Zero State Response.
