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Finite-Time Cooperative Engagement
IEEE Transactions on Automatic Control, 2019A smooth finite-time distributed control architecture is introduced and analyzed for the cooperative engagement problem. Using a time transformation method as well as Lyapunov stability theory, it is shown that the proposed architecture guarantees finite-time cooperative engagement in that the difference between the positions of each agent and a time ...
Tansel Yucelen +2 more
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Stretching and folding in finite time
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2016Complex flows mix efficiently, and this process can be understood by considering the stretching and folding of material volumes. Although many metrics have been devised to characterize stretching, fewer are able to capture folding in a quantitative way in spatiotemporally variable flows.
Tian Ma +2 more
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Optimization in finite-reservoir finite-time thermodynamics
Physical Review E, 2014A necessary condition to optimize work output is obtained for general heat engines working between two finite-sized heat reservoirs in a given period of time τ, with the amount of heat received from the hot reservoir being fixed for all possible realizations of the process.
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Finite-time attitude control: a finite-time passivity approach
IEEE/CAA Journal of Automatica Sinica, 2015This paper studies the finite-time attitude control problem for a rigid body. It is known that linear asymptotically stabilizing control laws can be derived from passivity properties for the system which describes the kinematic and dynamic motion of the attitude.
Shuochen Liu, Zhiyong Geng, Junyong Sun
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On tests with finite memory in finite time (Corresp.)
IEEE Transactions on Information Theory, 1974The purpose of this correspondence is to display an inductive proof of an optimality result for testing symmetric simple hypotheses concerning a binomial parameter with a three-state memory and n observations. Specifically, it is shown that if one restricts attention to three-state automata allowing transitions only between adjacent states, then no ...
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Finite time stability and stabilization
Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2002In this paper, finite time stability and stabilization are investigated for systems described by ordinary differential equations (ODE) or differential inclusions: some sufficient conditions are given for scalar and n-dimensional cases. Then, a stabilization result for I/O linearizable systems is derived from these results.
Wilfried Perruquetti, Sergey V. Drakunov
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Sojourn times with finite time‐horizon in finite semi‐markov processes
Applied Stochastic Models and Data Analysis, 1993AbstractLet Y = {Yt:t ≥ 0} be a semi‐Markov process with finite state space S. Assume that Y is either irreducible and S is then partitioned into two classes A and B, or, that Y is absorbing and S is partitioned into A, B and C, where C is the set of all absorbing states of Y. Denote by TA, m(t) the mth sojourn time of Y in A during [0, t]. TA, m(t) is
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Finite-time stability and instability of stochastic nonlinear systems
Finite-time stability and instability of stochastic nonlinear ...
Juliang Yin, Xinghuo Yu, Zhihong Man
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Finite-time distributed averaging
2014 American Control Conference, 2014This paper proposes a distributed averaging algorithm for multi-agent networks, in which each agent is with a real-valued measurement. Provided that the underlying graph of the network is a tree, the proposed algorithm enables each agent to compute the average of the values of all agents in the network in a finite number of steps.
Shaoshuai Mou, A. Stephen Morse
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Finite-time stability of discrete-time systems
Proceedings of the 2004 American Control Conference, 2004We deal with some finite-time control problems for discrete-time linear systems. First we provide necessary and sufficient conditions for finite-time stability; these conditions require either the computation of the state transition matrix of the system or the solution of a certain difference Lyapunov equation (or inequality).
Amato, F. +3 more
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