Controllability of non-linear systems: generic singularities and their stability (Q2903292)

The paper presents an overview of applications of singularity theory to the analysis of generic singularities of controllability of non-linear systems on manifolds. See also [\textit{V. V. Goryunov} and \textit{V. M. Zakalyukin}, Funct. Anal. Appl. 38, No. 4, 249--255 (2004); translation from Funkts. Anal. Prilozh. 38, No. 4, 13--21 (2004; Zbl 1088.58514); \textit{V. M. Zakalyukin} and \textit{A. N. Kurbatskii}, Proc. Steklov Inst. Math. 262, 66--79 (2008); translation from Tr. Mat. Inst. Steklova 262, 73--86 (2008; Zbl 1152.93017); \textit{V. M. Zakalyukin} and \textit{A. N. Kurbatskii}, Proc. Steklov Inst. Math. 268, 274--293 (2010); translation from Trudy Mat. Inst. Steklova 268, 284--303 (2010; Zbl 1217.93075); \textit{Yu. A. Grishina} and \textit{A. A. Davydov}, Proc. Steklov Inst. Math. 256, 80--91 (2007); translation from Tr. Mat. Inst. Steklova 256, 89--101 (2007; Zbl 1167.34021)].