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The stability region improvement for nonlinear dynamic systems based on the Lyapunov method is addressed. Emphasis is put on gradients for increasing the radial distance of the point on the stability boundary closest to the origin. Arbitrary analytic complexity in a given structure is admissible for the dynamic system, an additive controller, and the Lyapunov function.
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Keywords: Gradients; Hesse matrix; Lyapunov stability; Nonlinear systems

Document Type: Research Article

Affiliations: Vienna University of Technology, Institute of Automation and Control, Vienna, Austria

Publication date: October 1, 2009

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