Bounded amplitude performance of switched LPV systems with applications to hybrid systems (Q1301422)

Finite dimensional systems of the form \[ \begin{aligned}\dot x(t) &=A(\theta(t))x(t) + B_1(\theta(t))w(t) + B_2(\theta(t))v(t),\\ z(t) &=C x(t) + Dv(t),\end{aligned} \] are considered. \(\theta(t)\) denotes a parameter which is compared to a nominal scheduling trajectory so that the error determines a feedback to ensure bounded amplitude constraints for \(z(t)\). Bounds for the switching rules are derived. The results provide a different approach to hybrid system design and analysis.