Systems are classified into the following categories:
linear and Non-linear Systems
Time Variant and Time Invariant Systems
linear Time variant and linear Time invariant systems
Static and Dynamic Systems
Causal and Non-causal Systems
Invertible and Non-Invertible Systems
Stable and Unstable Systems
linear and Non-linear Systems
A system is said to be linear when it satisfies superposition and homogenate principles. Consider two systems with inputs as x1(t), x2(t), and outputs as y1(t), y2(t) respectively. Then, according to the superposition and homogenate principles,
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Answer:
Systems are classified into the following categories:
linear and Non-linear Systems
Time Variant and Time Invariant Systems
linear Time variant and linear Time invariant systems
Static and Dynamic Systems
Causal and Non-causal Systems
Invertible and Non-Invertible Systems
Stable and Unstable Systems
linear and Non-linear Systems
A system is said to be linear when it satisfies superposition and homogenate principles. Consider two systems with inputs as x1(t), x2(t), and outputs as y1(t), y2(t) respectively. Then, according to the superposition and homogenate principles,
T [a1 x1(t) + a2 x2(t)] = a1 T[x1(t)] + a2T[x2(t)]
T [a1 x1(t) + a2 x2(t)] = a1 y1(t) + a2y2(t)
From the above expression, is clear that response of overall system is equal to response of individual system.