Mathematics – Dynamical Systems
Scientific paper
2005-06-22
Mathematics
Dynamical Systems
12 pages
Scientific paper
In this paper we give an extension of the Barbashin-Krasovski-LaSalle Theorem to a class of time-varying dynamical systems, namely the class of systems for which the restricted vector field to the zero-set of the time derivative of the Liapunov function is time invariant and this set includes some trajectories. Our goal is to improve the sufficient conditions for the case of uniform asymptotic stability of the equilibrium. We obtain an extension of an well-known linear result to the case of zero-state detectability (given (C,A) a detectable pair, if there exists a positive semidefinite matrix P>=0 such that: A^TP+PA+C^TC=0 then A is Hurwitz - i.e. it has all eigenvalues with negative real part) as well as a result about robust stabilizability of nonlinear affine control systems.
No associations
LandOfFree
An Extension of Barbashin-Krasovski-LaSalle Theorem to a Class of Nonautonomous Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with An Extension of Barbashin-Krasovski-LaSalle Theorem to a Class of Nonautonomous Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An Extension of Barbashin-Krasovski-LaSalle Theorem to a Class of Nonautonomous Systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-480733