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Structural Controllability of Switching Max-Plus Linear Systems

Abhimanyu Gupta, Ton van den Boom, Jacob van der Woude, Bart De Schutter
2020 IFAC-PapersOnLine  
It represents the maximum growth rate of the system under autonomous evolution.  ...  Stability We introduce a notion of stability related to the controllability problem under study.  ... 
doi:10.1016/j.ifacol.2020.12.2587 fatcat:unvl73f66rgjpnpuq7dauto5ve

On stability of switched differential algebraic systems – conditions and applications

Ishan Pendharkar, Kai Wulff, Jörg Raisch
2008 IFAC Proceedings Volumes  
We obtain an efficient parametrization that ensures stability of switched linear systems under arbitrary switching.  ...  Apart from stability analysis, our results are useful for addressing several important system theoretic problems, e.g. designing controllers that ensure robustness against arbitrary combinations of sensor  ...  Thus, the problem of stability analysis under sensor failure is reduced to one of stability analysis of switched autonomous dynamical systems.  ... 
doi:10.3182/20080706-5-kr-1001.00651 fatcat:kq4ziffnpfff7gg2ma7hbp3lyi

Stability of time-varying nonlinear switching systems under perturbations [article]

Xiongping Dai, Yu Huang, Mingqing Xiao
2011 arXiv   pre-print
Using a Liao-type exponent, we study the stability of a time-varying nonlinear switching system.  ...  Since under the hypothesis of Theorem 3.1 every subsystems are non-autonomous and not necessarily Lyapunov asymptotically stable, the standard method of Lyapunov functions for proving asymptotic stability  ...  Studies of this type of problems fall under the category of "stabilization analysis" in the control theory.  ... 
arXiv:1109.1102v2 fatcat:svxeljoyenewtdsvnjyqbnn2im

On the construction of quadratically stable switched linear systems with multiple component systems

Ishan Pendharkar, Kai Wulff, Jorg Raisch
2007 2007 46th IEEE Conference on Decision and Control  
We consider the stability of switched linear systems with multiple component systems of the n−th order.  ...  Switched systems composed of subsystems from this set are exponentially stable for arbitrary switching sequences.  ...  STABILITY OF SWITCHED LINEAR SYSTEMS We now address the problem of constructing switched linear systems (1) whose component systems Σ Ai have a CQLF.  ... 
doi:10.1109/cdc.2007.4434421 dblp:conf/cdc/PendharkarWR07 fatcat:fakwzb2vsrcrdcigienbnyingq

A Hybrid Hierarchical Rally Driver Model for Autonomous Vehicle Agile Maneuvering on Loose Surfaces

Manuel Acosta, Stratis Kanarachos, Michael E. Fitzpatrick
2017 Proceedings of the 14th International Conference on Informatics in Control, Automation and Robotics  
Standard Electronic Stability Control Systems provide stability by limiting the vehicle body slip, thus reducing the capability of the vehicle to generate lateral acceleration and follow road segments  ...  capabilities of the system, and lastly, a lateral collision case is proposed to evaluate the suitability of the system as an ADAS Co-Pilot system for lateral collision avoidance. 216 Acosta, M., Kanarachos  ...  research and innovation program under the Marie Skodowska-Curie grant agreement No 675999.  ... 
doi:10.5220/0006393002160225 dblp:conf/icinco/AcostaKF17a fatcat:ubnunchwonexjpvs4patiihw2u

Some results of studies on the stability and controlability properties of the switched systems of differential equations

Efren Vazquez Silva, Rosa Isabel Urquiza Salgado, Mark Leonard Gordon, Acacio da Conceicao de Jesus Domingos
2014 Applied Mathematical Sciences  
The first deals with the study of the considered systems of differential equations with regards the pooling of the same in two clusters, namely linear switched systems dependent on a continuous or discrete  ...  In this paper we provide an overview of the state of tjhe art related to the study of the switched systems of differential equations. Such a panoramic study follows a bidirectional path.  ...  The results are an extension of the results for analysis of the stability of a linear second order switched system with two subsystems, under arbitrary switching.  ... 
doi:10.12988/ams.2014.48673 fatcat:jovjkv3hzffgvly5am6jhu4rqy

Hopf bifurcation and chaos in a free-running current-controlled Cuk switching regulator

C.K. Tse, Y.M. Lai, H.H.C. Iu
2000 IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications  
An autonomous free-running Ć uk converter is studied in this paper. Analysis of the describing nonlinear state equations shows that the system loses stability via a supercritical Hopf bifurcation.  ...  The boundary of stability is derived and local trajectories of motion studied.  ...  ACKNOWLEDGMENT The authors wish to thank the reviewers for their thorough review of this paper and for helpful suggestions and comments. The efforts of P. Li and H. L.  ... 
doi:10.1109/81.841847 fatcat:ccwyhyub6rdpfcfmzt3db3utoy

Onset of chaos in a single-phase power electronic inverter

Viktor Avrutin, Erik Mosekilde, Zhanybai T. Zhusubaliyev, Laura Gardini
2015 Chaos  
We first illustrate how the regular and chaotic forms of dynamics arise in an experimental inverter system.  ...  The dynamics of such a system involves two external signals: a low frequency reference signal that defines the waveform of the desired output and a high frequency, pulse-modulated switching signal that  ...  Fig. 1(a) shows the experimentally observed wave form of the output voltage for the regular period-1 dynamics under normal operational conditions.  ... 
doi:10.1063/1.4918299 pmid:25933662 fatcat:456w5darjfdtpgphvmwgmeyau4

Semistability of switched linear systems with applications to distributed sensor networks: A generating function approach

Jinglai Shen, Jianghai Hu, Qing Hui
2011 IEEE Conference on Decision and Control and European Control Conference  
This paper investigates semistability of discretetime, switched linear systems under both deterministic and random switching policies.  ...  First, we show that exponential semistability on a common equilibrium space is equivalent to output exponential stability of the switched linear system with a suitably defined output, under both arbitrary  ...  SEMISTABILITY OF SWITCHED LINEAR SYSTEMS A discrete-time, (autonomous) switched linear system (SLS) on R n is: x(t + 1) = A σ(t) x(t), t = 0, 1, . . . , (1) where its state x(t) ∈ R n evolves by switching  ... 
doi:10.1109/cdc.2011.6160788 dblp:conf/cdc/ShenHH11 fatcat:pi6wpz6fcncgne4o5idpljwvry

Semistability of switched linear systems with application to PageRank algorithms

Jinglai Shen, Jianghai Hu, Qing Hui
2014 European Journal of Control  
The iteration processes of these algorithms are formulated as switched linear systems.  ...  It is shown in this paper that exponential semistability on a common equilibrium space is equivalent to output exponential stability of a reduced switched linear system with a suitably defined output,  ...  Acknowledgments The authors would like to thank the reviewers and Associate Editor for many helpful comments that improve the organization and quality of the paper.  ... 
doi:10.1016/j.ejcon.2014.03.002 fatcat:kcy3jmgy2zfafbvsqqermuohkq

Advanced exponential sliding mode control for microgrid at autonomous and grid-connected modes

A. Elnady, Mohammad AlShabi
2021 Bulletin of Electrical Engineering and Informatics  
The performance of the presented control scheme along with its proposed controller is validated by comparing its results to another linear and non-linear controllers for the same microgrid loading conditions  ...  The presented control scheme provides advantageous characteristics to the microgrid operation in an autonomous mode (microgrid mode) and grid-connected mode.  ...  Figure 1 . 1 Microgrid system under study (star-configuration) Figure 2 . 2 ProposedAdvanced exponential sliding mode control for microgrid at autonomous… (A.Elnady) 2 considers both the positive-sequence  ... 
doi:10.11591/eei.v10i1.2718 fatcat:s6dr2epjl5grxhmqod3qfqe4cu

Common Lyapunov Function Based on Kullback–Leibler Divergence for a Switched Nonlinear System

Omar M. Abou Al-Ola, Ken'ichi Fujimoto, Tetsuya Yoshinaga
2011 Mathematical Problems in Engineering  
The stability of a switched system can be ensured by a common Lyapunov function for all switching modes under an arbitrary switching law.  ...  The switched system is useful for finding positive solutions to linear algebraic equations, which minimize theI-divergence measure under arbitrary switching.  ...  Acknowledgment This research is partially supported by Aihara Innovative Mathematical Modelling Project, the Japan Society for the Promotion of Science JSPS through its "Funding Program for World-Leading  ... 
doi:10.1155/2011/723509 fatcat:ildmo3xa7fc5tlbf7dr446ljnq

Stability analysis of linear hyperbolic systems with switching parameters and boundary conditions

Saurabh Amin, Falk M. Hante, Alexandre M. Bayen
2008 2008 47th IEEE Conference on Decision and Control  
Furthermore, we provide an explicit dwelltime bound on the switching signals that guarantee asymptotic stability of the switched system under the assumption that each of the subsystems are stable.  ...  We study asymptotic stability of an infinite dimensional system that switches between a finite set of modes.  ...  FINAL REMARKS We presented first results on stability of switching among systems of linear hyperbolic PDEs involving boundary data.  ... 
doi:10.1109/cdc.2008.4739181 dblp:conf/cdc/AminHB08 fatcat:poibwywzina3hgrnidqc3xf2aa

2007 Index IEEE Transactions on Automatic Control Vol. 52

2007 IEEE Transactions on Automatic Control  
., H Control and Estimation of Retarded State-Multiplicative Stochastic Systems; TAC Sept. 1773Sept.  ...  J., Approximation Metrics for Discrete and Continuous Systems; TAC May 2007 782-798 Giua, A., see Basile, F., TAC Feb. 2007 306-311 Giua, A., Seatzu, C., and Corona, C., Oct. 2007 Oct.  ...  ., TAC Sept. 2007 1716-1721 Uniformly Stabilizing Sets of Switching Sequences for Switched Linear Systems. Lee, J.  ... 
doi:10.1109/tac.2007.913948 fatcat:vpztpth7jnhk7b5o5bt2nyrrdm

Statistical Consistency of Set-Membership Estimator for Linear Systems [article]

Pedro Hespanhol, Anil Aswani
2020 arXiv   pre-print
Suppose we can choose from a set of linear autonomous systems with bounded process noise, the dynamics of each system are unknown, and we would like to design a stabilizing policy.  ...  The underlying question is how to estimate the dynamics of each system given that measurements of each system will be nonsequential.  ...  System identification has become a central field of research lying in between control and statistics. Here, we consider a fully observed switched autonomous linear system with bounded process noise.  ... 
arXiv:1903.07552v2 fatcat:phtmhj5ogzbflarmkirgia52iu
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