Stable and unstable system

1. What are stable and unstable systems?
2. What is an unstable system?
3. What is stable system example?
4. What is stable and unstable signal processing?

What are stable and unstable systems?

Roughly speaking, a system is stable if it always returns to and stays near a particular state (called the steady state), and is unstable if it goes farther and farther away from any state, without being bounded.

What is an unstable system?

A system itself is said to be unstable if at least one of its state variables is unstable. In continuous time control theory, a system is unstable if any of the roots of its characteristic equation has real part greater than zero (or if zero is a repeated root).

What is stable system example?

Examples. Here, for a definite bounded input, we can get definite bounded output i.e. if we put x(t)=2,y(t)=12 which is bounded in nature. Therefore, the system is stable. In the given expression, we know that sine functions have a definite boundary of values, which lies between -1 to +1.

What is stable and unstable signal processing?

A signal f(t), related with time, is said to be stable if it is bounted and f(t) decays to zero as t grows to infinity. On the other side, the signal is unstable if f(t) grows unbounded.