E. D. Sontag. Universal nonsingular controls. Syst. Contr. Let., 19:221--224, 1992. Home/Search Document Details and Download
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Return Method: Some Applications to Flow Control - Coron (2000) (1 citation) (Correct)
....choices of u then (2.2) holds. This in fact holds in general. More precisely let us assume that h(0) h Lie ( 0) ## N , 2.17) where Lie denotes 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 f is analytic. The return method does not seem to give any new interesting controllability result if x lies in a finite dimensional space ; in ....
E.D. Sontag, Universal nonsingular controls, Systems and Control Letters,19(1992), pp. 221-224.
Shortest paths for sub-Riemannian metrics on rank-two.. - Liu, Sussmann (1995) (3 citations) (Correct)
....sub Riemannian manifold (M;E;G) any two points of M 32 WENSHENG LIU AND H ECTOR J. SUSSMANN can be joined by an E arc which is not an extremal, so not all 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 arcs. In particular, for real analytic sub Riemannian manifolds (M;E;G) the situation is as follows: for every restriction (S; EdS; G S ) to an E orbit S, the ....
E.D. Sontag, "Universal nonsingular controls," Systems and Control Letters 19 (1992), pp. 221-224.
Remarks on Universal Nonsingular Controls for Discrete-Time.. - Sontag, Wirth (1997) (1 citation) Self-citation (Sontag) (Correct)
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E.D. Sontag. Universal nonsingular controls. System & Control Letters, 19 (1992) 221--224. Errata, ibid., 20 (1993) 77.
Dynamics of Time-Varying Discrete-Time Linear Systems: Spectral.. - Wirth (1996) (1 citation) (Correct)
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E. D. Sontag. Universal nonsingular controls. Syst. Contr. Let., 19:221--224, 1992.
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