Results 141 to 150 of about 2,062 (175)
Zeno behavior in electromechanical hybrid systems: From theory to experimental validation
The goal of this paper is to assess the capacity of Zeno phenomena to correctly predict the behavior of real physical systems. We begin by considering electromechanical hybrid systems. Formal conditions are given on when systems of this form display Zeno behavior, in which case the hybrid model is completed to allow for solutions to be carried past the
Shishir Nadubettu Yadukumar +2 more
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Existence of Periodic Orbits with Zeno Behavior in Completed Lagrangian Hybrid Systems
In this paper, we consider hybrid models of mechanical systems undergoing impacts, Lagrangian hybrid systems , and study their periodic orbits in the presence of Zeno behavior --an infinite number of impacts occurring in finite time. The main result of this paper is explicit conditions under which the existence of stable periodic orbits for a ...
Yizhar Or, Aaron D. Ames
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Temporal Behavior of Quantum Systems and Quantum Zeno Effect
The temporal behavior of an unstable system is analyzed quantum mechanically and compared to the exponential decay law. The general mathematical features of the quantum evolution, yielding a quadratic region at short times and a power law at long times, are briefly reviewed.
Saverio Pascazio +2 more
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Simulation of hybrid systems under Zeno behavior using numerical infinitesimals
Communications in Nonlinear Science and Numerical Simulation, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alberto Falcone +3 more
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On Zeno Behavior in Event-Triggered Finite-Time Consensus of Multiagent Systems
IEEE Transactions on Automatic Control, 2021This article studies Zeno behavior, where an infinite number of events occur in a finite-time interval, in the event-triggered multiagent systems that aim at achieving consensus in finite time. Two popular scenarios in the first-order multiagent systems with model-based event-triggered controllers are considered.
Hao Yu 0007, Tongwen Chen
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Zeno behavior in homogeneous hybrid systems
2008 47th IEEE Conference on Decision and Control, 2008The link between Zeno behavior and homogeneity in hybrid systems is pursued. Zeno behavior is associated with homogeneous hybrid systems having negative degree. Zeno behavior is typically ruled out in homogeneous hybrid systems with nonnegative degree. Next, asymptotic stability in homogeneous systems is shown to be robust to homogeneous perturbations.
Rafal Goebel, Andrew R. Teel
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Lyapunov characterization of Zeno behavior in hybrid systems
2008 47th IEEE Conference on Decision and Control, 2008Necessary and sufficient Lyapunov characterizations of a particular type of asymptotic stability in hybrid dynamical systems are given. This type involves uniform bounds on the amount of ordinary time, but not the number of jumps, it takes solutions to converge to the asymptotically stable set.
Rafal Goebel, Andrew R. Teel
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Lyapunov Theory for Zeno Stability
Zeno behavior is a dynamic phenomenon unique to hybrid systems in which an infinite number of discrete transitions occurs in a finite amount of time. This behavior commonly arises in mechanical systems undergoing impacts and optimal control problems, but
Andrew Lamperski, Aaron D Ames
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The Zeno (Z=1) Behavior of Water: A Molecular Simulation Study
International Journal of Thermophysics, 2001The regularity of fluid properties observed at the Zeno or Z=PV/RT=1 point has been proposed as a means of testing and improving volumetric equations of state. Previous research has shown that molecular interactions can be qualitatively and quantitatively related to the linear Z=1 contour of Tr vs ρr for pure fluids from the Boyle temperature to the ...
M. T. Reagan, J. W. Tester
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Mobile Robot Collision Avoidance Algorithm Based on Hybrid Zeno Behavior Automaton
2006 IEEE International Conference on Robotics and Biomimetics, 2006Zeno behavior in behavior-based system, which is two or more deterministic behaviors make infinite number of discrete transitions in finite time, can cause the motion speed and rotational velocity of the mobile robot change precipitately. Furthermore, the sharp shift of different behaviors will even exacerbate the absolute position errors.
Shou-tao Li, Yuan-chun Li, Hui-qiu Lu
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