Stability and stabilizability of switched linear systems: a survey of recent results

H Lin, PJ Antsaklis - IEEE Transactions on Automatic control, 2009 - ieeexplore.ieee.org
During the past several years, there have been increasing research activities in the field of
stability analysis and switching stabilization for switched systems. This paper aims to briefly …

Stability criteria for switched and hybrid systems

R Shorten, F Wirth, O Mason, K Wulff, C King - SIAM review, 2007 - SIAM
The study of the stability properties of switched and hybrid systems gives rise to a number of
interesting and challenging mathematical problems. The objective of this paper is to outline …

On linear copositive Lyapunov functions and the stability of switched positive linear systems

O Mason, R Shorten - IEEE Transactions on Automatic Control, 2007 - ieeexplore.ieee.org
We consider the problem of common linear copositive Lyapunov function existence for
positive switched linear systems. In particular, we present a necessary and sufficient …

[PDF][PDF] 切换线性系统稳定性研究进展

张霞, 高岩, 夏尊铨 - 控制与决策, 2010 - researchgate.net
切换线性系统的稳定性分析和稳定化设计是近年来研究的热点. 为此, 对近期关于这一问题研究
所得到的主要成果进行综述. 首先给出任意切换以及带约束切换两种情况下系统稳定性分析的 …

[图书][B] Robust control engineering: practical QFT solutions

M Garcia-Sanz - 2017 - taylorfrancis.com
This book thoroughly covers the fundamentals of the QFT robust control, as well as practical
control solutions, for unstable, time-delay, non-minimum phase or distributed parameter …

Disconnected synchronized regions of complex dynamical networks

Z Duan, G Chen, L Huang - IEEE Transactions on Automatic …, 2009 - ieeexplore.ieee.org
This technical note addresses the synchronized region problem, which is converted to a
more convenient matrix stability problem, for complex dynamical networks. For any natural …

Stability of switched systems on randomly switching durations with random interaction matrices

Y Guo, W Lin, G Chen - IEEE Transactions on Automatic …, 2017 - ieeexplore.ieee.org
In this paper, we investigate the almost sure stability of switched systems on randomly
switching durations simultaneously with randomly switching interaction matrices. We not …

Quadratic and copositive Lyapunov functions and the stability of positive switched linear systems

O Mason, R Shorten - 2007 American Control Conference, 2007 - ieeexplore.ieee.org
We present some new results concerning the stability of positive switched linear systems. In
particular, we present a necessary and sufficient condition for the existence of copositive …

Synthesis and analysis of robust dynamic linear protocols for dynamic average consensus estimators

S Nosrati, M Shafiee, MB Menhaj - IET control theory & applications, 2009 - IET
The dynamic average consensus problem in multi-agent networks is considered. Each
agent residing on the network establishes a dynamic average consensus estimator whose …

Some stability proofs on proxy-based sliding mode control

R Kikuuwe - IMA Journal of Mathematical Control and …, 2018 - academic.oup.com
Proxy-based sliding mode control (PSMC) is a control scheme proposed a decade ago
originally as a position controller for robot manipulators. This controller has a unique …