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2010 3rd International Symposium on Systems and Control in Aeronautics and Astronautics
A key problem in automatic control consists of investigating robust stability of systems with uncertainty. This paper considers linear systems with rational dependence on time-invariant uncertainties constrained in the simplex. It is shown that a sufficient condition for establishing whether the system is either stable or unstable can be obtained by solving a generalized eigenvalue problem constructed through homo geneous parameter-dependent quadratic Lyapunov functions (HPD-QLFs). Moreover, itdoi:10.1109/isscaa.2010.5633207 fatcat:eq5oqemaufbijajzsrfq24uw5q