Lyapunov Sufficient Conditions Research Articles

On characterizations of the input-to-state stability property

We show that the well-known Lyapunov sufficient condition for “input-to-state stability” (ISS) is also necessary, settling positively an open question raised by several authors during the past few years. Additional characterizations of the ISS property, including one in terms of nonlinear stability margins, are also provided.

Output feedback stabilization

The stabilization of control systems using output feedback is addressed. Necessary and sufficient Lyapunov conditions are established, generalizing the Artstein's stabilization theorem. For linear control systems, a necessary and sufficient Lyapunov condition is provided for stabilization by means of a linear output feedback law.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>