title: Robustness of trajectories with finite time extent
abstract: The problem of estimating perturbation bounds of finite trajectories is considered. The trajectory is assumed to be generated by a linear system with uncertainty characterized in terms of integral quadratic constraints. It is shown that such perturbation bounds can be obtained as the solution to a nonconvex quadratic optimization problem, which can be addressed using Lagrange relaxation. The result can be used in robustness analysis of hybrid systems and switched dynamical systems
keyphrases: finite time extent perturbation bounds linear system uncertainty integral quadratic constraints nonconvex quadratic optimization problem Lagrange relaxation robustness analysis hybrid systems switched dynamical systems trajectories robustness