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Approximate Controllability of Second-Order Semilinear Control System
Circuits, Systems, and Signal Processing, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anurag Shukla +3 more
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Stochastic approximation with ‘controlled Markov’ noise
Systems & Control Letters, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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IEEE Transactions on Automatic Control, 2009
This technical note addresses the approximation of the infinite horizon problem and the stability of the approximating controls generated by the receding horizon method. The setup takes into account systems and costs that may be nonlinear and discontinuous, with possibly state and control constraints, allowing for a wide range of problems.
Eduardo F. Costa +1 more
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This technical note addresses the approximation of the infinite horizon problem and the stability of the approximating controls generated by the receding horizon method. The setup takes into account systems and costs that may be nonlinear and discontinuous, with possibly state and control constraints, allowing for a wide range of problems.
Eduardo F. Costa +1 more
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Duality and approximate controls
Journal of the Franklin Institute, 1968Abstract The computation of approximate controls for the terminal problem for linear systems is considered. These controls can be made to steer the terminal state vector arbitrarily close to the desired terminal position; their norms will generally be smaller than the norm of the exact optimal control which achieves the desired terminal state. It is
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Robust approximation and control
IEEE Control Systems, 1997An algorithmic procedure has been implemented. Its input data are the frequency samples of a MIMO high order (possibly infinite dimensional) model and its output is a controller for that system. The procedure considers the approximation error as additive uncertainty and designs for robust performance of a mixed sensitivity problem by using H/sup /spl ...
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Remarks on approximate controllability
Journal d'Analyse Mathématique, 1992The problem of exact and approximate controllability for the wave equation with boundary control is studied. It is introduced the duality method which allows the treatment of the original problem via variational inequalities. Many pertinent remarks are made and some open problems are formulated.
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Controllability, Approximations and Stabilization
1989A wide variety of systems in e.g. engineering or biological applications can be described or modelled by control systems (or controlled differential equations) of the general form \(\dot x = F\left( {x,u} \right)\) where the state a; is a point on a smooth manifold, the control u takes values in a compact interval or another manifold and is integrable ...
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Controllability of an approximately defined control system
Sbornik: MathematicsWe introduce the notion of controllability of a system of ordinary differential equations with respect to a prescribed function and present conditions that guarantee the controllability (with respect to this function) of both the original control system and all control systems close to it. Bibliography: 10 titles.
Avakov, Evgenii R. +1 more
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Error Control with Polynomial Approximations
IMA Journal of Numerical Analysis, 1981Schonfelder, J. L., Razaz, M.
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