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A new theorem on higher order derivatives of Lyapunov functions by Vahid Meigoli; Seyyed Kamaleddin Yadavar Nikravesh is a Engineering article available to read on EtoBox.

What is A new theorem on higher order derivatives of Lyapunov functions about?

The Lyapunov stability analysis method for nonlinear dynamic systems requires a non positive first derivative of the Lyapunov functions along the system's trajectories. In this paper, a new method is developed to relax this requirement. A new sufficient condition is developed for the stability analysis of nonlinear systems, introducing some inequalities for higher order derivatives of the Lyapunov function. The differential inequalities can be considered as a new controllable canonical form linear time invariant system with negative inputs. The stability analysis of a given nonlinear system is then reduced to check if the characteristic equation for the new linear time invariant system is Hurwitz. Some examples are presented to establish the approach.

Who reads A new theorem on higher order derivatives of Lyapunov functions?

Author

Vahid Meigoli; Seyyed Kamaleddin Yadavar Nikravesh

Publisher

Elsevier Science; Elsevier ; Instrument Society of America; Elsevier BV (ISSN 0019-0578)

Published

2009

Language

EN

Field

Engineering (Physical Sciences)