Output-input stability and minimum-phase nonlinear systems

D. Liberzon, A.S. Morse, E.D. Sontag
<span title="">2002</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/tiaci7xy45hczhz755zlpu5h7q" style="color: black;">IEEE Transactions on Automatic Control</a> </i> &nbsp;
This paper introduces and studies the notion of output-input stability, which represents a variant of the minimum-phase property for general smooth nonlinear control systems. The definition of output-input stability does not rely on a particular choice of coordinates in which the system takes a normal form or on the computation of zero dynamics. In the spirit of the "input-to-state stability" philosophy, it requires the state and the input of the system to be bounded by a suitable function of
more &raquo; ... e output and derivatives of the output, modulo a decaying term depending on initial conditions. The class of output-input stable systems thus defined includes all affine systems in global normal form whose internal dynamics are input-to-state stable and also all left-invertible linear systems whose transmission zeros have negative real parts. As an application, we explain how the new concept enables one to develop a natural extension to nonlinear systems of a basic result from linear adaptive control.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/9.989070">doi:10.1109/9.989070</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/luwuhhdyijbw7essxiwerlihie">fatcat:luwuhhdyijbw7essxiwerlihie</a> </span>
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