ABSTRACT
In this chapter the main properties of passive systems and bounded-real systems are discussed. To the reader the duality between them will appear.
There is perfect duality between dynamical systems and circuits. A dynamical system can be made of circuits which can mimic its behavior. Consider the circuit in Figure 10.1 with parameters L > 0, C > 0, R1 > 0, R2 > 0. This type of circuit is passive: it dissipates the energy supplied by the generator without ever being able to supply any. Making up the circuit is well known: in particular, by attributing an equivalent impedance to the inductor and capacitor, the circuit can be studied according in the Laplace domain (see Figure 10.2). Thus, working with algebraic equations rather than with
Advanced Topics with
FIGURE 10.1 Example of a passive electrical circuit (L > 0, C > 0, R1 > 0, R2 > 0).
