Control Lyapunov function based feedback design for quasi-polynomial systems

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Abstract

The aim of this work is to present an entropy-like Lyapunov function based dynamic feedback design technique for quasi-polynomial and Lotka-Volterra systems. It is shown, that the dynamic feedback design problem is equivalent to the feasibility of a bilinear matrix inequality. The problem is also formulated as a control Lyapunov function based feedback design when the Lyapunov function parameters are given, the solution of this problem can be obtained by solving a linear matrix inequality.

The developed method is illustrated on a simple numerical example.

Keywords

Lyapunov stability
nonlinear systems
stabilizing feedback
dynamic feedback
optimization problems

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