Peer-Reviewed Journal Details
Mandatory Fields
Griggs, WM;King, CK;Shorten, RN;Mason, O;Wulff, K
2010
June
Linear Algebra and Its Applications
Quadratic Lyapunov functions for systems with state-dependent switching
Published
7 ()
Optional Fields
433
52
63
In this paper, we consider the existence of quadratic Lyapunov functions for certain types of switched linear systems. Given a partition of the state-space, a set of matrices (linear dynamics), and a matrix-valued function A(x) constructed by associating these matrices with regions of the state-space in a manner governed by the partition, we ask whether there exists a positive definite symmetric matrix P such that A(x)(T)P + PA(x) is negative definite for all x(t). For planar systems, necessary and sufficient conditions are given. Extensions for higher order systems are also presented. (C) 2010 Elsevier Inc. All rights reserved.
NEW YORK
0024-3795
10.1016/j.laa.2010.02.011
Grant Details