- What are the properties of continuous time system?
- What is a continuous time system?
- What is the continuous time stability criteria?
What are the properties of continuous time system?
Definition A continuous time system T [·] is BIBO stable if for all bounded input functions x(t) the output function y(t) = T [x(t)] is also bounded. Definition A discrete time system T [·] is BIBO stable if for all bounded input functions x[n] the output function y[n] = T [x[n]] is also bounded.
What is a continuous time system?
A continuous-time system is a system in which the signals at input and output are continuous-time signals. This chapter connects signals with systems, especially the study of linear time-invariant dynamic systems.
What is the continuous time stability criteria?
The continuous-time system is asymptotically stable if and only if the eigenvalues of A are all in the left half plane (Theorem 7.2. 1). Similarly, the discrete-time system x(k + 1) = Ax(k) is asymptotically stable if and only if all the eigenvalues of A are inside the unit circle.