Stabilizability conditions for a class of time-invariant bilinear systems
The paper deals with the global asymptotic stability of time-invariant bilinear systems described by the equations NEWLINE\[NEWLINE\dot x= Ax+ Bu+ \sum^m_{i=1} (N_i x)u_i.NEWLINE\]NEWLINE The proposed feedback is quadratic, \(u_i= -x^t P(b_i+ N_ix)\), where \(b_i\) are the columns of \(B\). The results depend on the features of the spectrum of the matrix \(A\).
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