Paper Info
Title
Novel practical stability conditions for discrete-time switched affine systems
Abstract
This technical note proposes novel state feedback stability conditions based on the so called Lyapunov–Metzler inequalities for discrete-time switched affine systems, assuring practical stability of a desired equilibrium point. These conditions are obtained taking into account the volume minimization of an ellipsoidal set containing the nonconvex set of attraction to where the state trajectories are globally attracted. Compared with other recent results, the present ones are based on less conservative conditions for the existence of an attraction set. Moreover, it is not required that the equilibrium point be inside a predetermined set of attainable ones, which enlarges the range of applicability of the present technique. To the best of the authors’ knowledge, it is the first time that the Lyapunov–Metzler inequalities are adopted in the context of switched affine systems. As a second step, the associated nonconvex invariant set is provided. Academical examples illustrate the method and compare the theoretical results with recent ones available in the literature.
Year
DOI
Venue
2019
10.1109/tac.2019.2904136
IEEE Transactions on Automatic Control
Keywords
Field
DocType
Switches,Lyapunov methods,Trajectory,Ellipsoids,Symmetric matrices,State feedback,Eigenvalues and eigenfunctions
Affine transformation,Mathematical optimization,Ellipsoid,Equilibrium point,Stability conditions,Symmetric matrix,Minification,Invariant (mathematics),Discrete time and continuous time,Mathematics
Journal
Volume
Issue
ISSN
64
11
0018-9286
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Lucas N. Egidio122.44
Grace S. Deaecto213015.29