Dynamic systems and control : Stationary linear systems

Stationary linear systems
Dynamic systems and control

Authors : Jean LÉVINE, Pierre ROUCHON

Review date: May 30, 2018 | Lire en français

Add to my library

4. Stationary linear systems

We now recall some useful formulas for linear systems:

\frac{d}{d t} x = A x

with :

The time-dependent matrix exp (tA) is defined by the absolutely convergent series :

exp (t A) = [I + t A + \frac{t^{2}}{2!} A^{2} + \dots + \frac{t^{k}}{k!} A^{k} + \dots]

You do not have access to this resource.

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource. Click here to request your free trial access!

Already subscribed? Log in!

Ongoing reading
Stationary linear systems

(1) - ABRAHAM (R.H.), SHAW (C.D.) - Dynamics – The Geometry of Behavior : I-IV. - Aerial Press, Santa Cruz, California (1981).
(2) - ABRAMOWITZ (M.), STEGUN (I.A.) - Handbook of Mathematical Functions. - Dover, New...

You do not have access to this resource.

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource. Click here to request your free trial access!

Already subscribed? Log in!

Article included in this offer

Updated and enriched with articles validated by our scientific committees

Services

A set of exclusive tools to complement the resources