Please help me in understanding the deep concept of the relation of BIBO stability and absolute summability.
1. The mathematical statement says,that, if the input is "bounded" that is within finite values ,then the output of the system, is also bounded. for a stable system.
2.In real systems , it is conceivable that the system is stable but the equipment fails if any component exceeds its specification. For example, in even a simple operational amplifier, if resistors are not chosen for proper heat dissipation , it might fail ,even though the circuit values assure a stable. response from a control point of view.. One other example is power system stability , where we encounter a breakdown if the torque angle exceeds a critical value during disturbances..
3 Another possibility is that the given definition ,could include limit cycles and attractors in chaos situations.
4 A possible application of summing n terms of input and output would be in Power system stability . Consider a sudden increase of load . in a power network. If we are able to sum power input and output at each node and impose some thresholds we can come up with a criteria for ensuring stable operation in real time.
Good Luck
Cheers
Cheers
- Badges
- Science topic
- Similar topics
- Computer Science
- Images