Math and Arithmetic
Electronics Engineering

How could you define that system is stable if the poles are on left hand side of the s-plane than why system is stable?



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consider the poles as on the right hand side of s plane ie. (s-1) or (s-2)

Consider the simple case in which transfer function is 1/(s-2) ie.pole 2 in the RHP of s plane

if we take the inverse laplace transform we e^2t u(t)......

our output is Ae^2t u(t).....

immediately we can recognize that e^2t for t>0 is not converging t->infinity the output also tends to infinity...

but for system with transfer functio 1/(s+2) the inverse is e^-2t and it is quite clear that it is a converging or bounded or stable