Sufficient conditions for the existence of zeno behavior in a class of nonlinear hybrid systems via constant approximations [PDF]
The existence of Zeno behavior in hybrid systems is related to a certain type of equilibria, termed Zeno equilibria, that are invariant under the discrete, but not the continuous, dynamics of a hybrid system. In analogy to the standard procedure of linearizing a vector field at an equilibrium point to determine its stability, in this paper we study the
Aaron D. Ames +2 more
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Approximability and Variational Description of the Zeno Behavior in Affine Switched Systems
Abstract This paper deals with a new theoretic description of a specific interaction of continuous and discrete dynamics in switched control systems known as a Zeno dynamics. We consider solutions to the closed loop realizations of control systems with affine structure that admit infinitely many discrete transitions on a finite time interval ...
Vadim Azhmyakov +1 more
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Temporal behavior and quantum Zeno time of an excited state of the hydrogen atom [PDF]
The quantum "Zeno" time of the 2P-1S transition of the hydrogen atom is computed and found to be approximately 3.59 10^{-15}s (the lifetime is approximately 1.595 10^{-9}s). The temporal behavior of this system is analyzed in a purely quantum field theoretical framework and is compared to the exponential decay law.
FACCHI, PAOLO, PASCAZIO, Saverio
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Compositional detection of Zeno behavior in Timed Automata with Deadlines [PDF]
We present a compositional analysis to detect Zeno behavior in Timed Automata with Deadlines. A syntactic analysis is defined, based on Tripakis' strong non-Zenoness property, which identifies all elementary cycles where Zeno behavior may occur. This analysis is complemented by TCTL reachability properties, which characterize the occurrence Zeno ...
Gomez, Rodolfo
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Distributed Event-Triggered Impulsive Control for Synchronization of Coupled Harmonic Oscillators
This paper addresses the synchronization problem of coupled harmonic oscillators via event-triggered impulsive control. Different from the existing results where both position and velocity measurements are required to achieve the synchronization, two ...
Guodong Ma +3 more
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By employing event-triggered control technique, this paper investigates the leaderfollowing formation control problem of general linear multi-agent systems with distributed infinite input time delays. To decrease computing costs, a novel event-triggered
Ya Deng, Wei Zhu
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Quasi-Consensus of Disturbed Nonlinear Multiagent Systems with Event-Triggered Impulsive Control
Considering the external disturbances, in this paper, the quasi-consensus of multiagent systems is studied via event-triggered impulsive control. By designing a novel event-triggered mechanism (ETM), sufficient conditions to realize leader-following ...
Zhihua Gu, Shiguo Peng, Yujia Huang
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Observer-Based Distributed Event-Triggered Secure Consensus of Multi-Agent System With DoS Attack
This paper addresses the distributed secure consensus problem for linear multi-agent systems (MAS) with unmeasurable states and Denial-of-Service (DoS) attacks. The observer is designed to be used in estimating unmeasurable states of agents.
Tao Wang +4 more
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Hierarchies, Spikes, and Hybrid Systems: Physiologically Inspired Control Problems [PDF]
In animal motor control and locomotion, neurons process information, muscles are the actuators, and the body is the plant. Control theory is the standard mathematical language for describing motor control and locomotion, but many phenomena in ...
Lamperski, Andrew G.
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Analysis of Zeno behaviors in hybrid systems
We investigate conditions for existence of Zeno behaviors in hybrid systems. Our approach is based on a simple but crucial observation that a state of the hybrid system is reachable at a given time if and only if it is reachable at the same time in an "equivalent" continuous system that is obtained as a suitable weighted combination of the dynamic ...
Michael Heymann +3 more
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