What is the stability of linear time invariant system?

The stability of a linear time-invariant (LTI) system is determined by the location of its poles in the complex plane. An LTI system is considered stable if all poles of its transfer function have negative real parts, meaning they lie in the left half of the complex plane. If any pole has a positive real part, the system is unstable, and if poles lie on the imaginary axis, the system is marginally stable. Thus, the stability of an LTI system is closely linked to the behavior of its poles.