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willisfang
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Can anyone tells me what is exactly
"Zero initial condition" in time-invariant passive linear system?
thanks a lot.
"Zero initial condition" in time-invariant passive linear system?
thanks a lot.
A zero initial condition in linear systems refers to the starting state of a system where all initial inputs, outputs, and internal states are equal to zero. This means that the system has not been previously affected by any external or internal factors before the current time.
Understanding zero initial condition is important because it allows us to analyze and predict the behavior of a system from its starting state. It serves as a baseline for comparing the effects of different inputs or disturbances on the system.
Zero initial condition and zero state response are related but different concepts. Zero initial condition refers to the starting state of a system, while zero state response refers to the response of a system to an input when the initial state is zero. In other words, zero state response is the behavior of a system starting from a zero initial condition.
Yes, it is possible for a system to have a zero initial condition but a non-zero state response. This can occur when an external input or disturbance is applied to the system, causing the system's state to change from zero to a non-zero value.
In mathematical terms, zero initial condition is represented by setting all initial conditions, such as the initial inputs, outputs, and internal states, to zero. This can be denoted as x(0) = 0, where x(0) represents the initial state of the system.