document: Robustness of trajectories with finite time extent 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
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