Paper Info
Title
New Conditions For Annular Finite-Time Stability Of Linear Systems
Abstract
In this paper we investigate the annular finite-time stability (AFTS) problem for linear systems. A system is said to be annular finite-time stable if the norm of the system state remains within an upper and lower treshold for a given finite interval of time. Two necessary and sufficient conditions are provided for AFTS, the former requiring the solution of a differential Lyapunov equation (DLE), the latter involving an optimization feasibility problem constrained by differential linear matrix inequalities (DLMIs). We show that the DLE-based condition is more efficient from the computational point of view; however the DLMI-based condition is the starting point to investigate the design problem. To this regard a necessary and sufficient condition for the existence of a state feedback controller which renders the closed loop annular finite-time stable is provided. A numerical example illustrates the improvement of the proposed approach with respect to those existing literature.
Year
Venue
Keywords
2016
2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC)
Finite-time stability, annular FTS, DLEs, DLMIs, state fedback control
Field
DocType
ISSN
Mathematical optimization,Ellipsoid,Lyapunov equation,Linear system,Full state feedback,Control theory,Matrix (mathematics),Mathematics,Trajectory,Numerical stability,Finite time
Conference
0743-1546
Citations 
PageRank 
References 
0
0.34
0
Authors
4
Name
Order
Citations
PageRank
Francesco Amato141948.74
G. De Tommasi2576.19
A. Mele300.68
Alfredo Pironti433027.47