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Dissipative differential inclusions, set-valued energy storage and supply rate maps, and stability of discontinuous feedback systems
2013
Nonlinear Analysis. Hybrid Systems
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Finally, these results are then used to develop feedback interconnection stability results for discontinuous systems thereby providing a generalization of the small gain and positivity theorems to systems ...
In particular, we introduce a generalized definition of dissipativity for discontinuous dynamical systems in terms of set-valued supply rate maps and set-valued storage maps consisting of locally Lebesgue ...
VijaySekhar Chellaboina and Professor Arkadi Nemirovski for several fruitful discussions. ...
doi:10.1016/j.nahs.2012.11.002
fatcat:gohgluogjzgr7oruvgwq42dh6m
Electronic implementation of a dynamical network with nearly identical hybrid nodes via unstable dissipative systems
[article]
2018
arXiv
pre-print
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A circuit architecture is proposed and implemented for a dynamical network composed of a type of hybrid chaotic oscillator based on Unstable Dissipative Systems (UDS). ...
The network is analyzed both numerically and experimentally according to the parameters mismatch between nodes. ...
Acknowledgements
Supplementary material An article brief description can be followed by means of the audio slides posted in https://youtu.be/VSuQCn7bdt4 ...
arXiv:1809.04145v1
fatcat:x6vkv4lqf5cxdeslxdj6gt7r4u
From Dissipativity Theory to Compositional Construction of Finite Markov Decision Processes
2018
Proceedings of the 21st International Conference on Hybrid Systems: Computation and Control (part of CPS Week) - HSCC '18
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The proposed approach leverages the interconnection topology and a notion of so-called stochastic storage functions describing joint dissipativity-type properties of subsystems and their abstractions. ...
In the first part of the paper, we derive dissipativity-type compositional conditions for quantifying the error between the interconnection of stochastic control subsystems and that of their abstractions ...
Moreover, if the initial states of the interconnected systems Σ and Σ are Closed-loop safety probability of a representative room with time horizon T d = 10 in a network of 15 rooms. ...
doi:10.1145/3178126.3178135
dblp:conf/hybrid/LavaeiSZ18
fatcat:vgx2rc4qi5gfpe5yyhk62ehlpa
Control of Networked Switched Systems Using Passivity and Dissipativity
2013
at - Automatisierungstechnik
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Passivity and dissipativity are important in the study of Cyber Physical Systems (CPS) where systems with time and event-driven dynamics are connected. ...
This paper provides conditions which guarantee stability of interconnected switched systems which may be used to model CPS. ...
Combining these vastly different components results in system models that are governed by hybrid dynamics. Often in CPS, these hybrid systems may be interconnected over a network. ...
doi:10.1515/auto.2013.1040
fatcat:evxdxml7ufdyzhqcp6bg72fcbi
Recent Advances in Analysis and Design of Cyber-physical Systems using Passivity Indices
[article]
2019
arXiv
pre-print
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Analysis and resilient design of Cyber-physical Systems have greatly benefited from energy based concepts of passivity and dissipativity. ...
We will overview how the indices have been defined and applied to different components of Cyber-physical systems and how they are used in the resilient design of compositional Cyber-physical systems. ...
The nonpassive nature of the delay can render the interconnection non-passive. This framework is extended in [32] to the network interconnection of hybrid systems. ...
arXiv:1902.10793v1
fatcat:risckupdzbar5hd27or5unxoti
Control of cyberphysical systems using passivity and dissipativity based methods
2013
European Journal of Control
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Importance of passivity and dissipativity: A tool that has shown great promise in the design of CPS is that of passivity (and, more generally, dissipativity). ...
Roughly speaking, such systems consist of two components: (i) physical, biological and engineered systems that are usually large scale and complex, and (ii) a cyber core consisting of communication networks ...
Consider the feedback interconnection of two QSR dissipative switched systems G 1 and G 2 . ...
doi:10.1016/j.ejcon.2013.05.018
fatcat:n3cmojxumbhc3oj3tocpipm5lq
Spiking Control Systems
[article]
2022
arXiv
pre-print
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The central thesis is that the mixed nature of spiking results from a mixed feedback principle, and that a control theory of mixed feedback can be grounded in the operator theoretic concept of maximal ...
We discuss the relevance of a theory of spiking control systems in the emerging age of event-based technology. ...
, Ilario Cirillo, Tom Chaffey, and Tai Kirby. ...
arXiv:2112.03565v2
fatcat:6e2ia6dwsjbn5k5fc6qkhtshkq
Special issue on robust stability and control of large-scale nonlinear systems
2012
MCSS. Mathematics of Control, Signals and Systems
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, or entire emerging areas like hybrid systems and cooperative multi-agent systems. ...
A quite central one is about sufficient conditions on interconnections of a number of stable systems such that the composite system is also stable. Another one is how individual ...
graph of a network, conditions on the image of an operator describing the interconnection structure, and also comparison principles via lower dimensional artificial systems describing the dynamic interconnection ...
doi:10.1007/s00498-012-0083-1
fatcat:7pipiuvpdfed5peeaqqyrawoye
Introduction to Jan C. Willems', "Dissipative Dynamical Systems, Part I: General Theory": 50 Years of Dissipativity Theory
2022
IEEE Control Systems
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Thus, the aim of this introduction is to let the article speak for itself, while providing some extra context for its origins and pointers to later developments. ...
Indeed, the article is clearly written and basically self-contained. ...
ACKNOWLEDGMENTS Thanks to Rodolphe Sepulchre, Harry Trentelman, and Siep Weiland for insightful comments during the writing of this introduction. ...
doi:10.1109/mcs.2021.3139558
fatcat:karin3bj3zhthp53c6r6gtkzl4
2019 Index IEEE Transactions on Fuzzy Systems Vol. 27
2019
IEEE transactions on fuzzy systems
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., +, TFUZZ May 2019 1008-1022
Interconnected systems
Decentralized Dissipative Filtering for Delayed Nonlinear Interconnected Sys-
tems Based on T-S Fuzzy Model. ...
., +, TFUZZ July 2019 1428-1440 Decentralized Dissipative Filtering for Delayed Nonlinear Interconnected Systems Based on T-S Fuzzy Model. ...
Nonlinear filters Adaptive Neuro-Fuzzy Control for Discrete-Time Nonaffine Nonlinear Systems. Gil ...
doi:10.1109/tfuzz.2020.2966828
fatcat:pgfo5oksjrdbpa5s534ky74bie
Table of contents
2019
IEEE Control Systems Letters
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Stabilization of Complex Interconnections of (Q,S,R)-Dissipative Systems With Time Delays . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...
Halder 463 A Simple Architecture for Arbitrary Interpolation of State Feedback . . . . . . . . . . . . .S. R. Friedrich and M. ...
doi:10.1109/lcsys.2018.2879526
fatcat:6a2cosmyrvel3eksisuncrdzpe
2021 Index IEEE Transactions on Systems, Man, and Cybernetics: Systems Vol. 51
2021
IEEE Transactions on Systems, Man & Cybernetics. Systems
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The primary entry includes the coauthors' names, the title of the paper or other item, and its location, specified by the publication abbreviation, year, month, and inclusive pagination. ...
The Subject Index contains entries describing the item under all appropriate subject headings, plus the first author's name, the publication abbreviation, month, and year, and inclusive pages. ...
A Robust Hybrid of a Feedback Linearization Technique and an Interval Type-2 Fuzzy Control System for the Flapping Angle Dynamics of a Biomimetic Aircraft. ...
doi:10.1109/tsmc.2021.3136054
fatcat:b5hcsfwjw5hllpenqmaq6wpke4
Compositional Control of Large-Scale Cyber-Physical Systems Using Hybrid Models and Dissipativity Theory
2019
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We propose a linear transformation of the information exchanged between the hybrid systems to guarantee specific dissipativity properties of the feedback interconnection in the presence of unknown communication ...
However, if there is a communication delay between the systems, then the feedback system may not be dissipative. ...
Networks of Dissipative Hybrid Systems: Effect of Time Delays This section considers the effect of network between hybrid systems connected in a negative feedback interconnection. ...
doi:10.7274/np19377562z
fatcat:ofp526xqufdl3hslefneclpyqe
Passivity and stability of switched systems under quantization
2012
Proceedings of the 15th ACM international conference on Hybrid Systems: Computation and Control - HSCC '12
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Recently, this work has been extended to switched and hybrid systems where passivity and stability results of single systems as well as interconnected systems are derived. ...
Passivity theory is a well-established tool for analysis and synthesis of dynamical systems. ...
ACKNOWLEDGMENTS The support of the National Science Foundation under Grant No. CNS-1035655 is gratefully acknowledged. ...
doi:10.1145/2185632.2185668
dblp:conf/hybrid/ZhuYMA12
fatcat:bw3toj2nqve6df7klyykm76tva
Safety Verification of Interconnected Hybrid Systems Using Barrier Certificates
2016
Mathematical Problems in Engineering
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We consider a finite number of interconnected hybrid systems satisfying the input-to-state property and the networked interconnections satisfying a dissipativity property. ...
In this paper, we propose a numerical method for verifying safety of a network of interconnected hybrid dynamical systems with a state constraint based on bilinear sum-of-squares programming. ...
Hybrid systems are dynamical systems exhibiting both continuous and discrete dynamic behaviors, and interconnected hybrid systems are an interconnection of several hybrid systems consisting of assignments ...
doi:10.1155/2016/4149059
fatcat:6hkxub7gpzb57h6ct37chodziq
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