Invariant Set Solution in Matlab

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Shilp Dixit
Shilp Dixit 2013-4-24
Hi,
I want to solve the following problem in matlab
if true
% sigma is a 2X4 matrix.
% x is a 4X1 matrix [x1, x2, x3, x4]'. These are my states in a system.
% B is a 4X2 matrix.
% Note: * is matrix multiplications
% ' means transpose of a matrix
% S = sigma' * x(t)
% co-effs of sigma meet the following conditions
% 1. sigma' * x(t)=0;
% 2. sigma' * x(t) is an invariant set.
% 3. If S != 0 then S*Sdot < 0 for all t,x.
% 4. sigma' * B is a non-singular matrix.
end
I want to find out sigma and subsequently the function S = sigma' * x(t) Thanks.

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