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What are the properties of continuous-time improper systems?

What are the properties of continuous-time improper systems?
  1. What are the properties of continuous time system?
  2. What is a continuous time system?
  3. 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.

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