DES - Definition of 'Dynamical System'

Dynamical System:

A system is dynamical if the output at time t depends only on the history of the input before time t.

---

~Example: the capacitor

$v(t)=v(0)+\frac{1}{C}{\int }_0^{t}i(\tau )d\tau$

---

Osservation:

To solve a problem given by a dynamical system is essentially solve a differential equation, but to know an exact result we need the initial conditions, or in case of a system the state of the system