Homogeneous polynomial Lyapunov functions for robust stability analysis of LFR systems
نویسندگان
چکیده
In this paper the use of Homogeneous Polynomial Lyapunov Functions (HPLFs) for robust stability analysis of linear systems subject to time-varying parametric uncertainty, affecting rationally the state transition matrix, is investigated. Sufficient conditions based on Linear Matrix Inequalities (LMI) feasibility tests are derived for the existence of HPLFs, which ensure robust stability when the uncertain parameter vector is restricted to lie in a convex polytope. It is shown that HPLFs lead to results which are less conservative than those obtainable via Quadratic Lyapunov Functions (QLFs). DII Technical Report 23/02 2
منابع مشابه
Title Sufficient and Necessary LMI Conditions for Robust Stability of Rationally Time-Varying Uncertain Systems
This technical note addresses robust stability of uncertain systems with rational dependence on unknown time-varying parameters constrained in a polytope. First, the technical note proves that a sufficient linear matrix inequality (LMI) condition that we previously proposed, based on homogeneous polynomial Lyapunov functions (HPLFs) and on the introduction of an extended version of Polya’s theo...
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