Imposing a constraint on a set of ode's

4 Ansichten (letzte 30 Tage)
Yazan Ahed
Yazan Ahed am 29 Aug. 2016
Bearbeitet: Yazan Ahed am 8 Jan. 2017
Say I want to solve the following set of ode's:
dx_i/dt = f1(x_i,y);
dy/dt = f2(x_i,y);
subject to: sum(a_i*x_i) = 0;
How would you code such condition?
  1 Kommentar
Torsten
Torsten am 29 Aug. 2016
Bearbeitet: Torsten am 29 Aug. 2016
Choose x1(0)=x2(0)=x3(0)=0 as initial conditions for x1, x2 and x3.
Then your constraint is satisfied.
And my proposition is that if
[a1 a3 a2], [a2,a1,a3] and [a3 a2 a1] are linearly independent vectors, this is the only solution.
Best wishes
Torsten.

Melden Sie sich an, um zu kommentieren.

Antworten (0)

Kategorien

Mehr zu Programming finden Sie in Help Center und File Exchange

Tags

Produkte

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by