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Abstract: In this note we prove that, for analytic systems satisfying the strong accessibility rank condition, generic inputs produce trajectories along which the linearized system is controllable. Applications to the steering of systems without drift are briefly mentioned. (Update)
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...E arcs are extremals. Amuch stronger conclusion holds if E is bracket generating: the set of E arcs that are not extremals is generic (cf. [21] for a proof in the real analytic case) and, even more strongly, the set of extremals is of infinite codimension in the space of E...
...the Lie algebra generated by the vector fields in ; then for generic u in ) 2. 2) holds; this is proved in [12] and in [67] if f is analytic. Let us recall that by a theorem due to Sussmann and Jurdjevic [72] 2.17) is a necessary condition for local controllability if...
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BibTeX entry: (Update)
E.D. Sontag, "Universal nonsingular controls," Systems and Control Letters 19 (1992), pp. 221-224. http://citeseer.ist.psu.edu/sontag92universal.html More
@misc{ sontag92universal,
author = "E. Sontag",
title = "Universal nonsingular controls",
text = "E.D. Sontag, Universal nonsingular controls, Systems and Control Letters
19 (1992), pp. 221-224.",
year = "1992",
url = "citeseer.ist.psu.edu/sontag92universal.html" }
Citations (may not include all citations):187 Applied Optimal Control (context) - Bryson - 1969
114 Mathematical Control Theory: Deterministic Finite Dimensiona.. (context) - Sontag - 1990
35 Controllability of nonlinear systems (context) - Sussmann - 1972
19 the observability of polynomial systems (context) - Sontag - 1979
17 Steering Nonholonomic Systems in Chained Form (context) - Murray - 1991
13 Single-input observability of continuous-time systems (context) - Sussmann - 1979
8 Finite dimensional open-loop control generators for nonlinea.. (context) - Sontag - 1988
4 Controllability and linearized regulation (context) - Sontag - 1987
3 the preservation of certain controllability properties under.. (context) - Sontag - 1983
2 A General Strategy for Computing Steering Controls of System.. (context) - erriere - 1991
1 Gradient techniques for steering systems with no drift: A cl.. (context) - Sontag
1 O Equations for Nonlinear Systems and Observation Spaces (context) - Wang, Sontag - 1991
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