Conditions for stability in $s$ domain?

1. What are the conditions for stability?
2. When a system is stable in s-plane?
3. What is the condition for the stability for a given transfer function?
4. How do you determine the stability of a system?

What are the conditions for stability?

The stability condition of a system in its final state is where all the links are | x_ij | ≈ 1 and x_ij dx_ij/dt > 0; either x_ij increases to 1 or it decreases to − 1. Fig. 5 represents a jammed state, where positive links are within a triad, and negative links are between different triads.

When a system is stable in s-plane?

If the poles are located on the left side of the s-plane, then the system is stable. If any single pole is located on the right side of the s-plane then the system is unstable. If two or more poles at the origin then the system is unstable. One pair of poles on the imaginary axis then the system is marginally stable.

What is the condition for the stability for a given transfer function?

▶ A transfer function is stable if its zero-input response converges to zero in the steady state regardless of initial conditions.

How do you determine the stability of a system?

When the poles of the closed-loop transfer function of a given system are located in the right-half of the S-plane (RHP), the system becomes unstable. When the poles of the system are located in the left-half plane (LHP) and the system is not improper, the system is shown to be stable.