# Stefan Lilja: Quadratic differential forms applied to stability and dissipativeness in the behavioural framework

**Time: **
Mon 2021-05-31 09.00 - 10.00

**Location: **
Meeting ID: 640 6342 1581

**Respondent: **
Stefan Lilja

### Abstract

In dynamical systems it is sometimes not just the system variables that are of interest, but also functionals of these variables. For linear systems these functionals are often quadratic differential forms. We take a behavioural approach to linear systems and quadratic differential forms, focusing on how these can be described using polynomial matrices. Two areas of application are considered, the first being stability where quadratic differential forms are used as Lyapunov functions. The second is dissipative systems and its close connection to LQ-control problems.

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