-
作者:Khong, Sei Zhen; Cantoni, Michael; Hara, Shinji; Kao, Chung-Yao
作者单位:National Sun Yat Sen University; University of Melbourne; Institute of Science Tokyo; Tokyo Institute of Technology
摘要:The robustness of instability is investigated for feedback interconnections of rational transfer functions, motivated by the relevance of such in the study of oscillatory dynamics. An analysis is presented in terms of normalized coprime factorizations and the L-2-gap metric. The main result is a necessary and sufficient condition for feedback instability to persist across a particular uncertainty set for one open-loop component of the interconnection, with the other component fixed. This uncer...
-
作者:Wang, Yutian; Liu, Tengfei; Shim, Hyungbo; Rovithakis, George A.; Jiang, Zhong-Ping
作者单位:University of Cyprus; Northeastern University - China; Seoul National University (SNU); Aristotle University of Thessaloniki; New York University; New York University Tandon School of Engineering
摘要:This article contributes a Lyapunov formulation for prescribed performance controller designs. In particular, we first show that the closed-loop system of a typical class of prescribed performance control systems can be transformed into an interconnection of input-to-state practically stable (ISpS) subsystems characterized by ISpS-Lyapunov functions. Then, we take advantage of the gain-interconnections between the subsystems and construct a Lyapunov function for the closed-loop system. The pro...
-
作者:Bourdin, Loic; Trelat, Emmanuel
作者单位:Universite de Limoges; Inria; Sorbonne Universite; Centre National de la Recherche Scientifique (CNRS); Universite Paris Cite
摘要:Consider, on the one part, a general nonlinear finite- dimensional optimal control problem and assume that it has a unique solution x*. On the other part, consider the sampled-data control version of it. Under appropriate assumptions, we prove that the optimal state of the sampled-data problem converges uniformly to x* as the norm of the partition tends to zero. Moreover, applying the Pontryagin maximum principle (PMP) to both problems, we prove that, if x* has a unique weak extremal lift with...
-
作者:Apaza-Perez, W. Alejandro; Girard, Antoine
作者单位:Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS)
摘要:In this article, we introduce the notion of input-to-state attractivity (ISA) controllers for a class of finite transition systems with disturbances. The performances of an ISA controller are characterized by a gain function that quantifies the deviation of closed-loop trajectories from the target set as a function of the amplitude of past disturbances on a bounded time window. We prove the existence of controllers that are gain-optimal (GO) in the sense that their gain function is minimal (wi...
-
作者:Castano, Alejandro; Cuvas, Carlos; Egorov, Alexey; Mondie, Sabine
作者单位:CINVESTAV - Centro de Investigacion y de Estudios Avanzados del Instituto Politecnico Nacional; Saint Petersburg State University
摘要:This contribution presents two exponential stability criteria (necessary and sufficient conditions) for linear systems with multiple pointwise and distributed delays. An important property is that the stability test requires a finite number of mathematical operations. The results are given in terms of the delay Lyapunov matrix and the fundamental matrix of the system. The exact construction of these matrices is possible for systems with delays multiple of a basic one and distributed delays wit...
-
作者:Lin, Lin; Cao, Jinde; Lam, James; Rutkowski, Leszek; Dimirovski, Georgi Marko; Zhu, Shiyong
作者单位:University of Hong Kong; Southeast University - China; Southeast University - China; Polish Academy of Sciences; Systems Research Institute of the Polish Academy of Sciences; AGH University of Krakow; Saints Cyril & Methodius University of Skopje
摘要:In this article, the scale reduction problem of continuous-time Markov chains (CT-MCs) and continuous-time controlled Markov chains (CT-CMCs) are disserted both from the bisimulation perspective. Based on the features of bisimulation, the reachability, macro-controllability, controllability, and stabilizability of CT-MCs and CT-CMCs, particularly, the large-scale ones, are addressed over the corresponding reduced chains. The bisimulation relations are defined for both CT-MCs and CT-CMCs to est...
-
作者:Wang, Xingping; Chi, Dianwei
摘要:We consider the stabilization of systems that switch among an arbitrary number of linear time-varying subsystems, which cannot be stabilized by simply stabilizing all the subsystems even if their dwell time is large enough. We introduce a uniformity condition on the controllability of all the subsystems under which we can design controllers for the subsystems such that the closed-loop subsystems are exponentially stable, and their state transition matrices have uniformly bounded magnitudes. We...
-
作者:Ferraro, Pietro; Penzkofer, Andreas; King, Christopher; Shorten, Robert
作者单位:Imperial College London; Northeastern University
摘要:In this article, we present a feedback approach to the design of an attack mitigation policy for directed acyclic graph (DAG)-based distributed ledgers. We develop a model to analyze the behavior of the ledger under the so-called Tips Inflation Attack, which endangers the liveness of transactions, and we design a control strategy to counteract this attack strategy. The efficacy of this approach is showcased through a theoretical analysis, in the form of two theorems about the stability propert...
-
作者:Ma, Qian; Xie, Yingkang
作者单位:Nanjing University of Science & Technology
摘要:This article investigates adaptive fixed-time practical tracking control for nonlinear systems with uncertainties. First, a novel switch function is given, based on which a continuous error compensation system is proposed. The virtual control laws and the adaptive laws are then designed via command filter-based backstepping technique. It is worth noting that the second-order derivability of the proposed virtual control laws is guaranteed by the designed switch function, namely, the validness o...
-
作者:Tedesco, Francesco; Casavola, Alessandro
作者单位:University of Calabria
摘要:This article presents a novel distributed constrained monitoring strategy for cyber-physical systems that focuses on enforcing point-in-time set-membership coordination constraints among the subsystem evolutions. The proposed scheme extends previous solutions by allowing the handling of time-varying dynamic interconnections, including the online addition/removal of subsystems (plug-and-play) during normal system operations. This approach ensures global coordination of the subsystems while effe...