Stability Criteria for Switched and Hybrid Systems
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.
On Linear Copositive Lyapunov Functions and the Stability of Switched Positive Linear Systems
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.
A Google-like model of road network dynamics and its application to regulation and control
- E. Crisostomi, Stephen J. Kirkland, R. Shorten
- Computer ScienceInternational Journal of Control
- 1 March 2011
Markov chain theory and spectral analysis of the transition matrix are shown to reveal non-evident properties of the underlying road network and to correctly predict consequences of road network modifications.
On the interpretation and identification of dynamic Takagi-Sugeno fuzzy models
- T. Johansen, R. Shorten, R. Murray-Smith
- Computer ScienceIEEE transactions on fuzzy systems
- 1 June 2000
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.
Experimental Evaluation of TCP Protocols for High-Speed Networks
- Yee-Ting Li, D. Leith, R. Shorten
- Computer Science, BusinessIEEE/ACM Transactions on Networking
- 1 October 2007
It is found that both scalable-TCP and FAST- TCP consistently exhibit substantial unfairness, even when competing flows share identical network path characteristics.
Necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for a finite number of stable second order linear time‐invariant systems
In this paper, necessary and sufficient conditions are derived for the existence of a common quadra‐tic Lyapunov function for a finite number of stable second order linear time‐invariant systems.…
A positive systems model of TCP-like congestion control: asymptotic results
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.
On the Stability of Switched Positive Linear Systems
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.
A Nonconservative LMI Condition for Stability of Switched Systems With Guaranteed Dwell Time
- G. Chesi, P. Colaneri, J. Geromel, R. Middleton, R. Shorten
- MathematicsIEEE Transactions on Automatic Control
- 1 May 2012
This technical note proposes the use of homogeneous polynomial Lyapunov functions in the non-restrictive case where all the subsystems are Hurwitz, showing that a sufficient condition can be provided in terms of an LMI feasibility test by exploiting a key representation of polynomials.
On common quadratic Lyapunov functions for pairs of stable LTI systems whose system matrices are in companion form
It is shown that a necessary and sufficient condition for the existence of a common quadratic Lyapunov function is that the matrix product A/sub 1/A/sub 2/ does not have an eigenvalue that is real and negative.