Controllability of linear time varying systems: new algebraic criteria

Abstract:

This paper presents algebraic rank conditions for the complete controllability of the system. x(t)= A(t)x(t)+ Bu(t)= a<inf>i</inf> (t)A<inf>i</inf>x(t)+ Bu(t). xερ0ⁿ,uερ0^l. Assuming A(·) is locally integrable on ρ<inf>0</inf>, the fundamental solution of x(t)= A(t)x(t) is explicitly calculated in terms of functions a<inf>i</inf>(t) for tε [0,T] by using Lie algebra theory. Then by using the Cayley-Hamilton theorem, two different time invariant controllability matrices are derived. Conditions for complete controllability matrices are derived. Conditions for complete controllability of the above systems are derived in terms of the rank of these matrices.

Año de publicación:

1993

Keywords:

Fuente:

scopus

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