Howtosignalprocessing
- Why is a system with poles on the RHS of the S-plane an unstable system?
- Is the unit step function continuous?
- Why left hand side poles are stable?
- What is unit step function?
Why is a system with poles on the RHS of the S-plane an unstable system?
If any pole has a positive real part there is a component in the output that increases without bound, causing the system to be unstable. In order for a linear system to be stable, all of its poles must have negative real parts, that is they must all lie within the left-half of the s-plane.
Is the unit step function continuous?
The unit step, both for continuous and discrete time, is zero for negative time and unity for positive time. In discrete time the unit step is a well-defined sequence, whereas in continuous time there is the mathematical complication of a discontinuity at the origin. A similar distinction applies to the unit im- pulse.
Why left hand side poles are stable?
Poles located in the left half-plane are stable while poles located in the right half-plane are not stable. The reasoning is very simple: the Laplace operator "s", which is location in the Laplace domain, can be also written as: Left half-plane has negative sigma.
What is unit step function?
Unit Step Function Definition
Unit Step Function is also known as Heaviside Function is known as the function that can mathematically describe the switching process in engineering applications. We often encounter some functions whose values change abruptly at specified units of time t.
