Eigenstructure assignment-based robust stability conditions for uncertain systems with multiple time-varying delays
This paper discusses robust stability of the following uncertain linear time-invariant multi-input, multi-output dynamical system with multiple time-varying delays, \[ \begin{aligned} {dx(t) \over dt} & =\bigl[A+ \Delta A(t) \bigr] x(t)+ \sum^r_{\mu=1} \bigl[E_\mu + \Delta E_\mu (t) \bigr] x \bigl(t-h_\mu (t)\bigr) +\bigl[B +\Delta B(t) \bigr] u(t), \\ y(t) & = \bigl[C+ \Delta C(t) \bigr]x(t). \end{aligned} \] Based on the fact that the dynamic response of a multivariable control system can be modified by means of eigenstructure assignment, a method is presented whereby a new sufficient condition for robust stability is derived.
scientific article; zbMATH DE number 987794
scientific article