Control theory from the geometric viewpoint AA Agrachev, Y Sachkov Springer Science & Business Media, 2013 | 1760 | 2013 |
Input to state stability: Basic concepts and results AA Agrachev, AS Morse, ED Sontag, HJ Sussmann, VI Utkin, ED Sontag Nonlinear and optimal control theory: lectures given at the CIME summer …, 2008 | 1470 | 2008 |
A comprehensive introduction to sub-Riemannian geometry A Agrachev, D Barilari, U Boscain Cambridge University Press, 2019 | 456 | 2019 |
Lie-algebraic stability criteria for switched systems AA Agrachev, D Liberzon SIAM Journal on Control and Optimization 40 (1), 253-269, 2001 | 437 | 2001 |
The exponential representation of flows and the chronological calculus AA Agračev, RV Gamkrelidze Mathematics of the USSR-Sbornik 35 (6), 727, 1979 | 333 | 1979 |
Introduction to Riemannian and sub-Riemannian geometry AA Agrachev, D Barilari, U Boscain Sissa, 2012 | 198 | 2012 |
Abnormal sub-Riemannian geodesics: Morse index and rigidity AA Agrachev, AV Sarychev Annales de l'Institut Henri Poincaré C, Analyse non linéaire 13 (6), 635-690, 1996 | 186 | 1996 |
The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups A Agrachev, U Boscain, JP Gauthier, F Rossi Journal of Functional Analysis 256 (8), 2621-2655, 2009 | 170 | 2009 |
Strong optimality for a bang-bang trajectory AA Agrachev, G Stefani, PL Zezza SIAM Journal on Control and Optimization 41 (4), 991-1014, 2002 | 169 | 2002 |
Sub-Riemannian sphere in Martinet flat case A Agrachev, B Bonnard, M Chyba, I Kupka ESAIM: Control, Optimisation and Calculus of Variations 2, 377-448, 1997 | 152 | 1997 |
Navier–Stokes equations: controllability by means of low modes forcing AA Agrachev, AV Sarychev Journal of Mathematical Fluid Mechanics 7, 108-152, 2005 | 142 | 2005 |
Sub-Riemannian structures on 3D Lie groups A Agrachev, D Barilari arXiv preprint arXiv:1007.4970, 2010 | 135 | 2010 |
Exponential mappings for contact sub-Riemannian structures AA Agrachev Journal of dynamical and control systems 2 (3), 321-358, 1996 | 127 | 1996 |
Chronological algebras and nonstationary vector fields AA Agrachev, RV Gamkrelidze Journal of Soviet mathematics 17, 1650-1675, 1981 | 126 | 1981 |
Sachkov Yu. L AA Agrachev L. Geometricheskaya teoriya upravleniya [Geometric control theory]. Moscow …, 2005 | 124* | 2005 |
A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds AA Agrachev, U Boscain, M Sigalotti arXiv preprint math/0609566, 2006 | 122 | 2006 |
Local invariants of smooth control systems AA Agrachev, RV Gamkrelidze, AV Sarychev Acta Applicandae Mathematica 14, 191-237, 1989 | 112 | 1989 |
Feedback-invariant optimal control theory and differential geometry—I. Regular extremals AA Agrachev, RV Gamkrelidze Journal of Dynamical and Control Systems 3 (3), 343-389, 1997 | 111 | 1997 |
The topology of quadratic mappings and Hessians of smooth mappings AA Agrachev Itogi Nauki i Tekhniki. Seriya" Algebra. Geometriya. Topologiya" 26, 85-124, 1988 | 101* | 1988 |
Curvature: a variational approach A Agrachev, D Barilari, L Rizzi American Mathematical Society 256 (1225), 2018 | 97 | 2018 |