Reflect on the concepts of linear and non-linear systems. What concepts (only the
names) did you need to accommodate the concept of linear and non-linear systems in
your mind? What are the simplest linear system and non-linear system you can
imagine? In your day to day, is there any occurring fact that can be interpreted as
linear systems and non-linear systems? What strategy are you using to get the graph of
linear systems and non-linear systems?
According to Choudhary (2017) the linear systems tends to be the ones that strictly follows
the principle of superposition and homogeneous as oppose to the non-linear system that does
not. This signifies that x → y also means kx → ky and x1+x2→ y1+y2. There is one
operating point at a time for the linear control system and the magnitude of the output is able
to change but the input baseline form never changes. A sinusoidal output will always be the
outcome of a sinusoidal input. The initial conditions does not affect the stability of these
system as they aren’t dependent on it. On the other hand the non-linear system has multiple
operating point with responses that are indefinite. The parameters are changed by the output
from the magnitude to phase and also frequency and the input form are not realizable. The
non-linear system is dependent on the real time of both the output and input. And can be
analysed as piece-wise linear.
The concept of the linear relationship suggests that two quantities are proportional to each
other. For example doubling one will cause the other to double as well. Whereas, the
nonlinear relationships, in general, are any relationship which is not linear. What is important
in considering nonlinear systems is that a wide range of possible dependencies is allowed.
The concepts that were accommodated for the linear and non-linear systems are constant,
intercepts, line, domain, range, positive slope, negative slope, relationship, direct proportion,
names) did you need to accommodate the concept of linear and non-linear systems in
your mind? What are the simplest linear system and non-linear system you can
imagine? In your day to day, is there any occurring fact that can be interpreted as
linear systems and non-linear systems? What strategy are you using to get the graph of
linear systems and non-linear systems?
According to Choudhary (2017) the linear systems tends to be the ones that strictly follows
the principle of superposition and homogeneous as oppose to the non-linear system that does
not. This signifies that x → y also means kx → ky and x1+x2→ y1+y2. There is one
operating point at a time for the linear control system and the magnitude of the output is able
to change but the input baseline form never changes. A sinusoidal output will always be the
outcome of a sinusoidal input. The initial conditions does not affect the stability of these
system as they aren’t dependent on it. On the other hand the non-linear system has multiple
operating point with responses that are indefinite. The parameters are changed by the output
from the magnitude to phase and also frequency and the input form are not realizable. The
non-linear system is dependent on the real time of both the output and input. And can be
analysed as piece-wise linear.
The concept of the linear relationship suggests that two quantities are proportional to each
other. For example doubling one will cause the other to double as well. Whereas, the
nonlinear relationships, in general, are any relationship which is not linear. What is important
in considering nonlinear systems is that a wide range of possible dependencies is allowed.
The concepts that were accommodated for the linear and non-linear systems are constant,
intercepts, line, domain, range, positive slope, negative slope, relationship, direct proportion,
