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Approximate controllability and approximate null controllability of semilinear systems

Communications on Pure and Applied Analysis, 2006
The approximate controllability and approximate null controllability of control systems governed by a class of abstract semilinear integrodifferential equations are discussed in this paper. Sufficient conditions for approximate controllability and approximate null controllability are obtained providing the approximate controllability and exact null
Lianwen Wang
exaly   +2 more sources

Finite-Approximate Controllability of Fractional Evolution Equations: Variational Approach

Fractional Calculus and Applied Analysis, 2018
In this work we extend a variational method to study the approximate controllability and finite dimensional exact controllability (finite-approximate controllability) for the fractional semilinear evolution equations with nonlocal conditions in Hilbert ...
Nazim Mahmudov
exaly   +2 more sources

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Approximate feedforward control

2015 10th Asian Control Conference (ASCC), 2015
Disturbances are inevitable in most control systems. They drive the systems away from their set points. It takes time for feedback control to reject them. The feedforward control offers great potentials for regulation performance if the disturbances are measurable.
Xian Li, Qing-Guo Wang, Wen-Jian Cai
openaire   +2 more sources

Consistent Approximations and Approximate Functions and Gradients in Optimal Control

SIAM Journal on Control and Optimization, 2002
Summary: Because of the unavoidable use of numerical integration methods, such as Runge--Kutta or finite elements, the numerical solution of optimal control problems, with either ODE or PDE dynamics, is governed by a discretization parameter such as the integration mesh-size.
Olivier Pironneau, Elijah Polak
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Dual Approximations in Optimal Control

SIAM Journal on Control and Optimization, 1984
The following optimal control problem is considered: \[ (P)\quad \min imize\quad C(z)\quad subject\quad to\quad M(z)=0,\quad z\in {\mathcal Z}, \] where \({\mathcal Z}\) denotes the set of pairs \(z=(x,u)\) such that x: [0,1]\(\to {\mathbb{R}}^ n\) is absolutely continuous and u: [0,1]\(\to {\mathbb{R}}^ m\) is summable, and \(M(x,u)(t)=x'(t)-A(t)x(t ...
Hager, William W., Ianculescu, George D.
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Constrained approximate controllability

IEEE Transactions on Automatic Control, 2000
Summary: Constrained approximate controllability for linear dynamical systems described by abstract differential equations with unbounded control operator is considered. Using methods of spectral analysis for linear self-adjoint operators and general constrained controllability results given by \textit{N. K. Son} [J. Math. Anal. Appl.
openaire   +3 more sources

Approximation and Control

1994
In this chapter, we analyse three further matrix least squares estimation problems. The first is concerned with the task of approximating matrices by lower rank ones. This has immediate relevance to total least squares estimation and representations by linear neural networks. The section also serves as a prototype for linear system approximation.
Uwe Helmke, John B. Moore
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Approximate Classifiers with Controlled Accuracy

IEEE INFOCOM 2019 - IEEE Conference on Computer Communications, 2019
Performing exact computations can require significant resources. Approximate computing allows to alleviate resource constraints, sacrificing the accuracy of results. In this work, we consider a generalization of the classical packet classification problem. Our major contribution is to introduce various representations for approximate packet classifiers
Vitalii Demianiuk, Kirill Kogan, Sergey I. Nikolenko   +2 more
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