Computing the value function for an optimal control problem.
Pascal, Jesús A., Galindez, Cecilia (2005)
Divulgaciones Matemáticas
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Pascal, Jesús A., Galindez, Cecilia (2005)
Divulgaciones Matemáticas
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M. Delgado-Téllez, Alberto Ibort Latre (2003)
Extracta Mathematicae
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Walter Alt (2003)
Control and Cybernetics
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Krastanov, Mikhail (2010)
Serdica Journal of Computing
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The importance of “control variations” for obtaining local approximations of the reachable set of nonlinear control systems is well known. Heuristically, if one can construct control variations in all possible directions, then the considered control system is small-time locally controllable (STLC). Two concepts of control variations of higher order are introduced for the case of smooth control systems. The relation between these variations and the small-time local controllability is...
H. Sussmann (1995)
Banach Center Publications
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Lech Górniewicz, Paolo Nistri (1996)
Banach Center Publications
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This paper deals with a class of nonlinear control systems in in presence of deterministic uncertainty. The uncertainty is modelled by a multivalued map F with nonempty, closed, convex values. Given a nonempty closed set from a suitable class, which includes the convex sets, we solve the problem of finding a state feedback ū(t,x) in such a way that K is invariant under any system dynamics f. As a system dynamics we consider any continuous selection of the uncertain controlled dynamics...
Udrişte, Constantin (2009)
Balkan Journal of Geometry and its Applications (BJGA)
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Robert Bryant, Robert Gardner (1995)
Banach Center Publications
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We define an extension of the classical notion of a control system which we call a control structure. This is a geometric structure which can be defined on manifolds whose underlying topology is more complicated than that of a domain in . Every control structure turns out to be locally representable as a classical control system, but our extension has the advantage that it has various naturality properties which the (classical) coordinate formulation does not, including the existence...
Ferreyra, Guillermo, Pascal, Jesus A. (2002)
Divulgaciones Matemáticas
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Udrişte, Constantin (2009)
Balkan Journal of Geometry and its Applications (BJGA)
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Fritz Colonius, Wolfgang Kliemann (1995)
Banach Center Publications
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The region of asymptotic null controllability of bilinear systems with control constraints is characterized using Lyapunov exponents. It is given by the cone over the region of attraction of the maximal control set in projective space containing zero in its spectral interval.