Bilinear Transformations between Discrete - and Continuous - Time Infinite - Dimensional Linear Systems 1 Ruth
نویسندگان
چکیده
We show that several system-theoretic properties are preserved under a bilinear transformation from a continuous-time linear system to a discrete-time one (and conversely). For example, strong stability, infinite-time admissibility of the control and observation operators and approximate controllability and observability are all preserved. On the other hand, exponential stability (stabilizability) is not. Moreover, we establish a 1-1 correspondence between the solutions of the discreteand continuous-time Lyapunov and Riccati equations.
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