Homogeneous Polynomial Lyapunov Functions for Robust Local Synchronization with Time-varying Uncertainties
نویسندگان
چکیده
This paper studies robust local synchronization in multi-agent systems with time-varying parametric uncertainties constrained in a polytope. In contrast to existing methods with non-convex conditions via using quadratic Lyapunov function (QLF), a new criteria is proposed based on using homogeneous polynomial Lyapunov functions (HPLFs) where the original system is suitably approximated by an uncertain polytopic system. Furthermore, corresponding tractable conditions of linear matrix inequalities (LMIs) have been provided by exploiting squares matrix representation (SMR). Then, polytopic synchronization margin problem is, for the first time, proposed and investigated via handling generalized eigenvalue problems (GEVPs). Lastly, numerical examples illustrate the usefulness of the proposed method.
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