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Finite-time stability and finite-time synchronization of neural network – Dual approach

Journal of the Franklin Institute, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anna Michalak, Andrzej Nowakowski
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Finite-Time Cooperative Engagement

IEEE Transactions on Automatic Control, 2019
A 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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Computing in Finite Time

Open Systems & Information Dynamics, 2006
If a message can have n different values and all values are equally probable, then the entropy of the message is log (n). In the present paper, we discuss the expectation value of the entropy, for an arbitrary probability distribution. We introduce a mixture of all possible probability distributions.
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Stretching and folding in finite time

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2016
Complex 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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Thermodynamics in finite time. II. Potentials for finite-time processes

Physical Review A, 1977
Within the context of conventional time-independent thermodynamics, an algorithm is developed to construct potentials $\mathcal{P}$ that define the extremal values of work for processes with arbitrary constraints. An existence theorem is proved that demonstrates that such potentials $\mathcal{P}$ can be given for any quasistatic process.
SALAMON, P, ANDRESEN, B, BERRY, RS
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Finite Time Controllers

SIAM Journal on Control and Optimization, 1986
Necessary and sufficient conditions are given for the solution of the ordinary differential equation \(d^ 2x/dt^ 2=g(x,\dot x)\) from an initial point \((x_ 0,\dot x_ 0)\in R^ 2\) to arrive at (0,0) in finite time, where \(g(0,0)=0\), and g is C except at (0,0) where it is continuous.
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Distributed Finite-Time Optimization

2018 IEEE 14th International Conference on Control and Automation (ICCA), 2018
In this paper, we consider the distributed optimization problem of multi-agent systems. The objective is to minimize the global objective function, which is the sum of local objective functions, by using local communication and local computation. We develop a distributed proportional-integral (PI) algorithm, based on the information received from its ...
Lisha Yao   +3 more
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Optimization in finite-reservoir finite-time thermodynamics

Physical Review E, 2014
A 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 Elements in Time and Space

The Aeronautical Journal, 1969
The present paper seeks to apply the ideas of discretisation to time dependent phenomena. As a suitable variational statement we may use Hamilton's principle. In practise this means that the time is discretised into a set of finite elements which are taken to be the same for all structural elements.
J.H. Argyris, D.W. Scharpf
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On tests with finite memory in finite time (Corresp.)

IEEE Transactions on Information Theory, 1974
The 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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