preprints ● journal articles ● conference proceedings ● book chapters
Nothing is more dangerous than an idea, when it is the only idea we have. – Alain
Preprints/works in progress
On a family of homogeneous spaces (co-authored with D.I. Barrett)
Invariant foliations on homogeneous spaces
One-dimensional foliations on compact homogeneous spaces
Semi-Riemannian flows on compact manifolds
Journal Articles
On the Schouten and Wagner curvature tensors. Rend. Circ. Mat. Palermo 72 (2023), 565--590 (co-authored with D.I. Barrett) [DOI][RG]
Restricted Jacobi fields. Internat. Elect. J. Geom. 14 (2021), 247--265 (co-authored with D.I. Barrett) [DOI][RG]
A note on flat nonholonomic Riemannian structures on three-dimensional Lie groups. Beitr. Algebra Geom. 60 (2019), 419--436 (co-authored with D.I. Barrett) [DOI][RG]
Control systems on the Engel group. J. Dyn. Control Syst. 25 (2019), 377--402 (co-authored with D.I. Barrett, C.E. McLean) [DOI][RG]
On geodesic invariance and curvature in nonholonomic Riemannian geometry. Publ. Math. Debrecen 94 (2019), 197--213 (co-authored with D.I. Barrett) [DOI][RG]
Quadratic Hamilton–Poisson systems on \(\mathfrak{se}\mathsf{(1,1)}^*_-\): the inhomogeneous case. Acta Appl. Math. 154 (2018), 189–230 (co-authored with D.I. Barrett and R. Biggs) [pdf]
Invariant control systems on Lie groups: a short survey. Extracta Math. 32 (2017), 213–238 (co-authored with R. Biggs) [pdf]
Control systems on nilpotent Lie groups of dimension ≤ 4: equivalence and classification. Differential Geom. Appl. 54 (2017), 282–297 (co-authored with C.E. Bartlett, R. Biggs) [pdf]
Quadratic Hamilton–Poisson systems in three dimensions: equivalence, stability, and integration. Acta Appl. Math. 148 (2017), 1–59 (co-authored with R. Biggs) [pdf]
A few remarks on quadratic Hamilton–Poisson systems on the Heisenberg Lie–Poisson space. Acta Math. Univ. Comenianae. 86 (2017), 73–79 (co-authored with C.E. Bartlett, R. Biggs) [pdf]
Stability and integration of Hamilton–Poisson systems on \(\mathfrak{so}\mathsf{(3)}^*_-\). Rend. Mat. Appl. 37 (2016), 1–42 (co-authored with R.M. Adams, R. Biggs, W. Holderbaum) [pdf]
Equivalence of control systems on the pseudo-orthogonal group \(\mathsf{SO(2,1)}\). An. Ştiint. Univ. Ovidius Constanta. 24(2)(2016), 45–65. (co-authored with R. Biggs) [pdf]
Invariant nonholonomic Riemannian structures on three-dimensional Lie groups. J. Geom. Mech. 8 (2016), 139–167 (co-authored with D.I. Barrett, R. Biggs, O. Rossi) [pdf]
On the classification of real four-dimensional Lie groups. J. Lie Theory 26 (2016), 1001–1035 (co-authored with R. Biggs) [pdf]
Control systems on the Heisenberg group: equivalence and classification. Publ. Math. Debrecen 88 (2016), 217–234 (co-authored with C.E. Bartlett, R. Biggs) [pdf]
Affine distributions on a four-dimensional extension of the semi-Euclidean group. Note Mat. 35 (2015), 81–97 (co-authored with D.I. Barrett, R. Biggs) [pdf]
On the equivalence of control systems on Lie groups. Commun. Math. 23 (2015), 119–129 (co-authored with R. Biggs) [pdf]
Subspaces of the real four-dimensional Lie algebras: a classification of subalgebras, ideals, and full-rank subspaces. Extracta Math. 31 (2015), 41–93 (co-authored with R. Biggs) [pdf]
Quadratic Hamilton–Poisson systems on \(\mathfrak{se} \mathsf{(1,1)^*_-}\): the homogeneous case. Int. J. Geom. Methods Mod. Phys. 12 (2015), 1550011 (17 pages) (co-authored with D.I. Barrett, R. Biggs) [pdf]
Some remarks on the oscillator group. Differential Geom. Appl. 35 (2014), 199–209 (co-authored with R. Biggs) [pdf]
Control systems on three-dimensional Lie groups: equivalence and controllability. J. Dyn. Control Syst. 20 (2014), 307–339 (co-authored with R. Biggs) [pdf]
Affine subspaces of the Lie algebra \(\mathfrak{se} \mathsf{(1,1)}\). Eur. J. Pure Appl. Math. 7 (2014), 140–155 (co-authored with D.I. Barrett, R. Biggs) [pdf]
Cost-extended control systems on Lie groups. Mediterr. J. Math. 11 (2014), 193–215 (co-authored with R. Biggs) [pdf]
Control affine systems on solvable three-dimensional Lie groups, II. Note Mat. 33 (2013), 19–31 (co-authored with R. Biggs) [pdf]
Control systems on the orthogonal group \( \mathsf{SO(4)}\). Commun. Math. 21 (2013), 107–128 (co-authored with R.M. Adams, R. Biggs) [pdf]
Control affine systems on solvable three-dimensional Lie groups, I. Arch. Math. (Brno) 49 (2013), 187–197 (co-authored with R. Biggs) [pdf]
Two-input control systems on the Euclidean group \(\mathsf{SE(2)}\). ESAIM: Control Optim. Calc. Var. 19 (2013), 947–975 (co-authored with R.M. Adams, R. Biggs) [pdf]
Control affine systems on semisimple three-dimensional Lie groups. An. Ştiint. Univ. “A.I. Cuza” Iași Mat. 59 (2013), 399–414 (co-authored with R. Biggs) [pdf]
On some quadratic Hamilton–Poisson systems. Appl. Sci. 15 (2013), 1–12 (co-authored with R.M. Adams, R. Biggs) [pdf]
A note on the affine subspaces of three-dimensional Lie algebras. Bul. Acad. Ştiinte Repub. Mold. Mat. 2012, no. 3, 45–52 (co-authored with R. Biggs) [pdf]
Equivalence of control systems on the Euclidean group \(\mathsf{SE(2)}\). Control Cybernet. 41 (2012), 513–524 (co-authored with R.M. Adams, R. Biggs) [pdf]
Optimal control on the rotation group \(\mathsf{SO(3)}\). Carpathian J. Math. 28 (2012), 305–312 [pdf]
A category of control systems. An. St. Univ. Ovidius Constanta 20 (2012), 355–368 (co-authored with R. Biggs) [pdf]
Single-input control systems on the Euclidean group \(\mathsf{SE(2)}\). Eur. J. Pure Appl. Math. 5 (2012), 1–15 (co-authored with R.M. Adams, R. Biggs) [pdf]
Optimal control and integrability on Lie groups. An. Univ. Vest. Timiș. Ser. Mat.-Inform. 49 (2011), 101–118 [pdf]
Optimal control and Hamilton–Poisson formalism. Int. J. Pure. Appl. Math. 59 (2010), 11–17 [pdf]
On the tangential geometry of foliations. An. Univ. Vest Timiș. Ser. Mat.-Inform. 46 (2008), 125–143
Note on an explicit isomorphism. An. Univ. Vest Timiș. Ser. Mat.-Inform. 44 (2006), 135–141
Geometric fuzzification. Quaest. Math. 26 (2003), 147–161 (co-authored with G. Lubczonok)
Sur quelques champs de tenseurs de type (1,1). Proc. Sem. Math. Phys. Timișoara (1989), 5–10
\(\mathsf{h}\)-Foliations of codimension 1. Proc. Sem. Math. Phys. Timișoara (1988), 66–70
On a generalized version of the Godbillon–Vey invariant. Proc. Sem. Math. Phys. Timișoara (1988), 61–65
Conference Proceedings
Optimal control of drift-free invariant control systems on the group of motions of the Minkowski plane. Proc. 13th European Control Conference (ECC 2014), Strasbourg, France, 2014, pp. 2466–2471(co-authored with D.I. Barrett, R. Biggs)
Control systems on three-dimensional Lie groups. Proc. 13th European Control Conference (ECC 2014), Strasbourg, France, 2014, pp. 2442–2447 (co-authored with R. Biggs)
Feedback classification of invariant control systems on three-dimensional Lie groups. Proc. 9th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2013), Toulouse, France, 2013, pp. 506–511 (co-authored with R. Biggs)
A classification of quadratic Hamilton-Poisson systems in three dimensions. Proc. 15th International Conference on Geometry, Integrability and Quantization, Varna, Bulgaria, 2013, pp. 67–78 (co-authored with R. Biggs)
Quadratic Hamilton-Poisson systems on \(\mathfrak{so}\mathsf{(3)^*_-}\): classification and integration. Proc. 15th International Conference on Geometry, Integration and Quantization, Varna, Bulgaria, 2013, pp. 55–66 (co-authored with R.M. Adams, R. Biggs)
On the equivalence of control systems on the orthogonal group \(\mathsf{SO(4)}\). Proc. 8th WSEAS International Conference on Dynamical Systems and Control, Porto, Portugal, 2012, pp. 54–59 (co-authored with R.M. Adams, R. Biggs)
On the equivalence of cost-extended control systems on Lie groups. Proc. 8th WSEAS International Conference on Dynamical Systems and Control, Porto, Portugal, 2012, pp. 60–65 (co-authored with R. Biggs)
Control and stability on the Euclidean group \(\mathsf{SE(2)}\). Proc. World Congress on Engineering (WCE 2011), London, U.K., 2011, pp. 225–230
Integrability and optimal control. Proc. 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2010), Budapest, Hungary, 2010, pp. 1749–1754
Control and integrability on \(\mathsf{SO(3)}\). Proc. World Congress on Engineering (WCE 2010), London, U.K., 2010, pp. 1705–1710
Book Chapters / Monographs
Invariant control systems on Lie groups. In: G. Falcone (ed.), Lie Groups, Differential Equations, and Geometry: Advances and Surveys, Springer, pp. 127–181 (co-authored with R. Biggs) [pdf]
Introduction to the Geometric Theory of Foliations (Romanian). Math. Monographs 23 (1984), University of Timișoara (154 pages)