Journal ArticleDOI
Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
Hai Lin,Panos J. Antsaklis +1 more
TLDR
This paper focuses on the stability analysis for switched linear systems under arbitrary switching, and highlights necessary and sufficient conditions for asymptotic stability.Abstract:
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 survey recent results in this field. First, the stability analysis for switched systems is reviewed. We focus on the stability analysis for switched linear systems under arbitrary switching, and we highlight necessary and sufficient conditions for asymptotic stability. After a brief review of the stability analysis under restricted switching and the multiple Lyapunov function theory, the switching stabilization problem is studied, and a variety of switching stabilization methods found in the literature are outlined. Then the switching stabilizability problem is investigated, that is under what condition it is possible to stabilize a switched system by properly designing switching control laws. Note that the switching stabilizability problem has been one of the most elusive problems in the switched systems literature. A necessary and sufficient condition for asymptotic stabilizability of switched linear systems is described here.read more
Citations
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Journal ArticleDOI
Networked Control System: Overview and Research Trends
Rachana Ashok Gupta,Mo-Yuen Chow +1 more
TL;DR: The NCS and its different forms are introduced and discussed, and different fields and research arenas such as networking technology, network delay, network resource allocation, scheduling, network security in real-time NCSs, integration of components on a network, fault tolerance, etc.
Journal ArticleDOI
Stability and Stabilization of Switched Linear Systems With Mode-Dependent Average Dwell Time
TL;DR: The stability and stabilization problems for a class of switched linear systems with mode-dependent average dwell time (MDADT) are investigated in both continuous-time and discrete-time contexts.
Journal ArticleDOI
Cyber–Physical Systems: A Perspective at the Centennial
Kyoung-Dae Kim,P. R. Kumar +1 more
TL;DR: This work overviews CPS research from both a historical point of view in terms of technologies developed for early generations of control systems, as well as recent results on CPSs in many relevant research domains such as networked control, hybrid systems, real-time computing,real-time networking, wireless sensor networks, security, and model-driven development.
Journal ArticleDOI
Brief paper: Stability of switched positive linear systems with average dwell time switching
TL;DR: The stability analysis problem for a class of switched positive linear systems (SPLSs) with average dwell time switching is investigated and a multiple linear copositive Lyapunov function is introduced, by which the sufficient stability criteria are given for the underlying systems in both continuous-time and discrete-time contexts.
Journal ArticleDOI
Group consensus in multi-agent systems with switching topologies and communication delays
Junyan Yu,Long Wang +1 more
TL;DR: This work introduces double-tree-form transformations under which dynamic equations of agents are transformed into reduced-order systems and obtains some analysis results for group consensus problems in networks of dynamic agents.
References
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Linear Matrix Inequalities in System and Control Theory
TL;DR: In this paper, the authors present a brief history of LMIs in control theory and discuss some of the standard problems involved in LMIs, such as linear matrix inequalities, linear differential inequalities, and matrix problems with analytic solutions.
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Differential Equations with Discontinuous Righthand Sides
TL;DR: The kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics, algebraic geometry interacts with physics, and such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes.
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Switching in Systems and Control
TL;DR: I. Stability under Arbitrary Switching, Systems not Stabilizable by Continuous Feedback, and Systems with Sensor or Actuator Constraints with Large Modeling Uncertainty.