The approximation of reachable domains of control systems☆
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Cited by (20)
The approach problem of a nonlinear controlled system in a finite time interval
2017, Journal of Applied Mathematics and MechanicsApproximation of the attainable sets of the nonlinear control systems with integral constraint on controls
2009, Nonlinear Analysis, Theory, Methods and ApplicationsCitation Excerpt :Numerous papers have been devoted to the study of various properties of the attainable sets of the control systems with geometric constraints on control (see, e.g. [1,4,10,14,20,30,37] and references therein). In papers [7,15,23] approximation and numerical construction methods of attainable sets of control systems with geometric constraints on control have been discussed. In [5,6,9,12,24,25,28,32] topological properties and numerical construction methods of the attainable sets of linear control systems with integral constraint on control functions are investigated.
On the continuity property of L<inf>p</inf> balls and an application
2007, Journal of Mathematical Analysis and ApplicationsOn differential inclusions with prescribed attainable sets
2003, Journal of Mathematical Analysis and ApplicationsOn Two-Sided Approximations of Reachable Sets of Control Systems with Geometric Constraints on the Controls
2021, Proceedings of the Steklov Institute of MathematicsGeometric Approximation Theory
2021, Springer Monographs in Mathematics
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Prikl. Mat. Mekh. Vol. 62, No. 2, pp. 179–187, 1998.
Copyright © 1998 Published by Elsevier Ltd.