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Distributed optimization with the consideration of adaptivity and finite-time convergence

2014 American Control Conference, 2014
In this paper, a distributed optimization problem is studied for continuous-time multi-agent systems with single integrator dynamics. The objective is for multiple agents to cooperatively optimize a team performance function formed by a sum of convex local objective functions with only local interaction and information while explicitly taking into ...
Peng Lin 0001   +3 more
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Non-homogeneous finite-time-convergent differentiator

Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009
A finite-time-convergent non-homogeneous robust exact differentiator is constructed, which provides for faster convergence compared with the standard homogeneous differentiator. The optimal asymptotic features of the standard differentiator are preserved. Computer simulation confirms the theoretical results.
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A result on global convergence in finite time for nonsmooth neural networks

2006 IEEE International Symposium on Circuits and Systems, 2006
The paper considers a large class of additive neural networks where the neuron activations are modeled by discontinuous functions or by non-Lipschitz functions. A result is established guaranteeing that the state solutions and output solutions of the neural network are globally convergent in finite time toward a unique equilibrium point.
Forti M.   +3 more
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Convergence and finite-time behavior of simulated annealing

1985 24th IEEE Conference on Decision and Control, 1985
Simulated annealing is a randomized algorithm which has been proposed for finding globally optimum least-cost configurations in large NP-complete problems with cost functions which may have many local minima. A theoretical analysis of simulated annealing based on its precise model, a time-inhomogeneous Markov chain, is presented.
Mitra, Debasis   +2 more
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Geometric control of quadrotor with finite-time convergence and improved transients

International Journal of Systems Science, 2020
A finite-time geometric control of quadrotor has been proposed in this paper by representing the attitude using rotation matrices to avoid the singularities and ambiguities associated with Euler an...
Manmohan Sharma, Indrani Kar
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Variable Structure Controller with Finite Time Convergence

2006 SICE-ICASE International Joint Conference, 2006
In this paper, a variable structure control scheme is proposed for second-order nonlinear uncertain systems. By using a function augmented sliding hyperplane, it is guaranteed that the output tracking error converges to zero in finite time which can be set arbitrarily.
Miran Kim, Dong Kim, Kang-bak Park
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On the Convergence of Formal Integrals in Finite Time

1982
Consider a differential system: x = f (x) + e g(x), \(x \in {R^n}.\). Let h(x) = ho(x) + eh1 (x)... a “third” integral. For finite time t, I obtain an eo such that the series h(x) converges if e > eo. When t tends to infinite, eo tends to zero.
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Composite backstepping control with finite-time convergence

Optik, 2017
Abstract A new robust backstepping controller with finite-time convergence for a class of uncertain nonlinear systems has been presented in this paper. The proposed controller is essentially a composite method, which consists of classical backstepping technique, extended state observer (ESO) and finite-time convergent differentiator (FTCD).
Sheng Yi, Jiang Wang, Bin Li
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Finite-Time-Convergent Differentiator Based on Singular Perturbation Technique

IEEE Transactions on Automatic Control, 2007
A finite-time-convergent differentiator is presented that is based on singular perturbation technique. The merits of this differentiator exist in three aspects: rapidly finite-time convergence compared with other typical differentiators; no chattering phenomenon; and besides the derivatives of the derivable signals, the generalized derivatives of some ...
Xinhua Wang 0001   +2 more
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Robustness of convergence in finite time for linear programming neural networks

International Journal of Circuit Theory and Applications, 2006
AbstractA recent work has introduced a class of neural networks for solving linear programming problems, where all trajectories converge toward the global optimal solution in finite time. In this paper, it is shown that global convergence in finite time is robust with respect to tolerances in the electronic implementation, and an estimate of the ...
DI MARCO M., FORTI M., GRAZZINI M.
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