Quasi-polynomial and Lotka-Volterra representation in nonlinear systems and control theory
نویسندگان
چکیده
Nonlinear input-affine systems in quasi-polynomial (QP) and Lotka-Volterra (LV) forms are investigated in this paper. It is shown that both the global stability analysis with an entropy-like Lyapunov function candidate and the local quadratic stability region determination can be performed by solving linear matrix inequalities (LMIs). The invariance transformations preserving the form of the description are also described and their use for stability analysis is discussed. It is also shown that zero dynamics analysis can be performed by solving LMIs but the design of globally stabilizing feedback controllers leads to a bilinear matrix inequality (BMI) problem.
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