Scilab Website | Contribute with GitLab | Mailing list archives | ATOMS toolboxes
Scilab Online Help
5.3.3 - Português

Change language to:
English - Français - 日本語 -

Please note that the recommended version of Scilab is 2024.0.0. This page might be outdated.
See the recommended documentation of this function

Ajuda Scilab >> CACSD > obs_gram

obs_gram

observability gramian

Calling Sequence

Go=obs_gram(A,C [,dom])
Go=obs_gram(sl)

Arguments

A,C

real matrices (of appropriate dimensions)

dom

string ("d' or "c" (default value))

sl

syslin list

Description

Observability gramian of the pair (A,C) or linear system sl (syslin list). dom is the domain which can be

"c"

continuous system (default)

"d"

discrete system

Examples

A=-diag(1:3);C=rand(2,3);
Go=obs_gram(A,C,'c');     // <=> w=syslin('c',A,[],C); Go=obs_gram(w);
norm(Go*A+A'*Go+C'*C,1)
norm(lyap(A,-C'*C,'c')-Go,1)
A=A/4; Go=obs_gram(A,C,'d');    //discrete time case
norm(lyap(A,-C'*C,'d')-Go,1)

See Also

<< nyquistfrequencybounds CACSD obscont >>

Copyright (c) 2022-2023 (Dassault Systèmes)
Copyright (c) 2017-2022 (ESI Group)
Copyright (c) 2011-2017 (Scilab Enterprises)
Copyright (c) 1989-2012 (INRIA)
Copyright (c) 1989-2007 (ENPC)
with contributors
Last updated:
Wed Oct 05 12:11:35 CEST 2011