Robert Shorten

TL;DR: This paper considers the stability of switched systems in which there are constraints on the switching rules, through both dwell-time requirements and state-dependent switching laws, and discusses the theory of Lyapunov functions and the existence of converse theorems.

TL;DR: It is shown that the theory of nonnegative matrices may be employed to model communication networks that employ drop-tail queueing and Additive-Increase Multiplicative-Decrease (AIMD) congestion control algorithms and these results can be used to develop tools for analyzing the behavior of AIMD communication networks.

TL;DR: This work presents a necessary and sufficient condition for the existence of a common linear copositive Lyapunov function existence for switched systems with two constituent linear time-invariant systems.

TL;DR: This note shows that the Hurwitz stability of the convex hull of a set of Metzler matrices is a necessary and sufficient condition for the asymptotic stability for the associated switched linear system under arbitrary switching.

TL;DR: There exists a close relationship between dynamic Takagi-Sugeno fuzzy models and dynamic linearization when using affine local model structures, which suggests that a solution to the multiobjective identification problem exists, but it is also shown that the affineLocal model structure is a highly sensitive parametrization when applied in transient operating regimes.