Frequency stability criteria of multivariable nonlinear control system (Q2704920)

The present paper is devoted to stability problems of some multivariable nonlinear control systems. In the first part of the paper, several frequency stability theorems are stated without proof for multiple-input and multiple-output nonlinear control systems. These results are considered as direct generalizations of some known results established for the single variable case.NEWLINENEWLINENEWLINEIn the second part, by using the stated theorems, the authors propos some sufficient conditions for the open-loop \(L_2\)-stability of some particular multivariable nonlinear control systems of the polynomial-type with pure input (or pure output). Finally, two illustrating simulation examples are also indicated.NEWLINENEWLINENEWLINESome misprints are in the paper. For instance, there are no derivatives of the function \(u(t)\) involved in the general system (1) given page 16, especially the one with the largest order \(M\).