Stability analysis and stabilization of LPV systems with jumps and (piecewise) differentiable parameters using continuous and sampled-data controllers

Linear Parameter-Varying (LPV) systems with jumps and piecewise differentiable parameters is a class of hybrid LPV for which no tailored stability analysis stabilization conditions have been obtained so far.1 We fill this gap here by proposing an approach based on clock- parameter-dependent Lyapunov function yielding under both constant minimum dwell-times. Interesting adaptations the latter result consist dwell-time condition uncertain switched impulsive systems. The notably shown to naturally generalize unify well-known quadratic robust criteria all together. Those are then adapted address problem via timer-dependent timer- and/or parameter-independent (i.e. robust) state-feedback controllers, being from relaxed involving slack-variables. Finally, last part addresses range used provide using sampled-data gain-scheduled controller. formulated as infinite-dimensional semidefinite programming problems solved sum squares programming. Examples given illustration.