MIT6_241JS11_lec06

MIT6_241JS11_lec06 - 6.241 Dynamic Systems and Control...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 6.241 Dynamic Systems and Control Lecture 6: Dynamical Systems Readings: DDV, Chapter 6 Emilio Frazzoli Aeronautics and Astronautics Massachusetts Institute of Technology February 23, 2011 E. Frazzoli (MIT) Lecture 6: Dynamical Systems Feb 23, 2011 1 / 10 Signals Signals: maps from a set T to a set W . Time axis T : topological semigroup 1 , in practice T = Z , R , N , or R , and combinations thereof, such as Z R . Signal space W : vector space, typically R n , for some fixed n N . Discrete-time signals : maps from Z (or N ) to R n . Continuous-time signals L : maps from R (or R ) to R n . Typically, constraints are imposed on maps to qualify as continuous-time signals: Piecewise-continuity, or Local (square) integrability. DT and CT signals can be given the structure of vector spaces in the obvious way (i.e., time-wise addition and scalar multiplication of signal values). It is possible to mix DT and CT signals (e.g., to describe digital sensing of physical processes, zero-order holds, etc.). 1 Semigroup: group without identity and/or inverse. E. Frazzoli (MIT) Lecture 6: Dynamical Systems Feb 23, 2011 2 / 10 Outline 1 2 Behavioral Models Input-Output Models E. Frazzoli (MIT) Lecture 6: Dynamical Systems Feb 23, 2011 3 / 10 Behavioral...
View Full Document

This note was uploaded on 01/12/2012 for the course ECE 6.241j taught by Professor Prof.emiliofrazzoli during the Spring '11 term at MIT.

Page1 / 11

MIT6_241JS11_lec06 - 6.241 Dynamic Systems and Control...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online