Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results

By Hai Lin, Panos J. Antsaklis. IEEE Transactions on Automatic Control, 2009

2,716 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/0b9660a8147a9dffa1a120aa5a64c63835501f09

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In Control and Systems Engineering

1. Peng Shi
2. Shaocheng Tong
3. Hongyi Li
4. Yanjun Liu
5. Guanghong Yang
6. Xudong Zhao
7. Yongcan Cao
8. Yong-ming Li

Citations in the corpus

• Stability Analysis of Switched Linear Systems with Locally Overlapped Switching Law (2010, background): “In addition, it is interesting that the asymptotical stability for the switched linear system under an arbitrary switching law is equivalent to the robust asymptotical stability for a polytopic uncertain linear time-variant system for which vertex dynamics are the subsystems of the switched linear s”
• Wireless Network Design for Control Systems: A Survey (2017, background): “system approach refers to continuous-time dynamics with (isolated) discrete switching events [116].”
• Stabilization of switched continuous-time systems with all modes unstable via dwell time switching (2014, background): “…system asymptotically stable, and how to design appropriate switching laws to stabilize the switched system composed fully of unstable subsystems is one of the most interesting and serious challenges for switched systems (Decarlo et al., 2000; Liberzon, 2003; Lin & Antsaklis, 2009; Sun & Ge, 2005).”
• Sampled-Data Based Consensus of Continuous-Time Multi-Agent Systems With Time-Varying Topology (2011, background): “There have been many research results on the stability of switched systems (see [ 26 ]), and thus, the analysis in the general topology case is omitted due to space limitation.”
• Stability analysis and control synthesis of switched impulsive systems (2012, background): “For more details of the recent results on the basic problems in stability and stabilization for switched systems, the reader is referred to [18], and the references cited therein.”
• Stability of switched positive nonlinear systems (2016, background): “However, many practical switched systems fail to preserve stability under arbitrary switching signals [16].”
• Distributed Event-Triggered Control for Multi-Agent Systems (2012, background): “Digital Object Identifier 10.1109/TAC.2011.2174666 0018-9286/$26.00 © 2011 IEEE control have appeared in the recent literature [6], [7] involving agreement or consensus algorithms [12], [20], [23], formation control [2], [4], [5], [8] and distributed estimation [21], [25].”
• Exponential l2−l∞ output tracking control for discrete‐time switched system with time‐varying delay (2012, background): “Switched systems are composed of a family of subsystems described by continuous or discretetime dynamics, and a rule specifying the switching among them [1, 2].”
• Stability analysis for a class of switched linear systems (2012, background): “Recent efforts in switched linear system research typically focus on the analysis of dynamic behaviors, such as stability [13–16], controllability [17], reachability [18–20], observability [21], and so on (see the latest survey paper [22]).”
• Sensitivity to switching rates in stochastically switched odes (2013, background): “See [11] for a review of the deterministic case.”