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Andrei Agrachev
Andrei Agrachev
Professor of Mathematics, SISSA, Trieste
Verified email at sissa.it - Homepage
Title
Cited by
Cited by
Year
Control theory from the geometric viewpoint
AA Agrachev, Y Sachkov
Springer Science & Business Media, 2013
17422013
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
14452008
A comprehensive introduction to sub-Riemannian geometry
A Agrachev, D Barilari, U Boscain
Cambridge University Press, 2019
4402019
Lie-algebraic stability criteria for switched systems
AA Agrachev, D Liberzon
SIAM Journal on Control and Optimization 40 (1), 253-269, 2001
4362001
The exponential representation of flows and the chronological calculus
AA Agračev, RV Gamkrelidze
Mathematics of the USSR-Sbornik 35 (6), 727, 1979
3311979
Introduction to Riemannian and sub-Riemannian geometry
AA Agrachev, D Barilari, U Boscain
Sissa, 2012
1982012
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
1851996
Strong optimality for a bang-bang trajectory
AA Agrachev, G Stefani, PL Zezza
SIAM Journal on Control and Optimization 41 (4), 991-1014, 2002
1682002
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
1672009
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
1521997
Navier–Stokes equations: controllability by means of low modes forcing
AA Agrachev, AV Sarychev
Journal of Mathematical Fluid Mechanics 7, 108-152, 2005
1422005
Sub-Riemannian structures on 3D Lie groups
A Agrachev, D Barilari
arXiv preprint arXiv:1007.4970, 2010
1322010
Exponential mappings for contact sub-Riemannian structures
AA Agrachev
Journal of dynamical and control systems 2 (3), 321-358, 1996
1271996
Chronological algebras and nonstationary vector fields
AA Agrachev, RV Gamkrelidze
Journal of Soviet mathematics 17, 1650-1675, 1981
1261981
Sachkov Yu. L
AA Agrachev
L. Geometricheskaya teoriya upravleniya [Geometric control theory]. Moscow …, 2005
123*2005
A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds
AA Agrachev, U Boscain, M Sigalotti
arXiv preprint math/0609566, 2006
1222006
Local invariants of smooth control systems
AA Agrachev, RV Gamkrelidze, AV Sarychev
Acta Applicandae Mathematica 14, 191-237, 1989
1111989
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
1091997
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
962018
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