Teoria matematica del controllo
- Costruzione di feedback discontinui per problemi di stabilizzazione o ottimiizzazione
relativi a sistemi di controllo non lineari (di equazioni differenziali ordinarie).
- Analisi di sistemi di controllo con campi vettoriali omogenei rispetto a opportune
dilatazioni
- Problemi di controllo per equazioni alle derivate parziali in forma di leggi di conservazione o di
bilancio
- Problemi di controllo per equazioni alle derivate parziali dispersive del terzo ordine che
descrivono la propagazone di deformazioni radiali in aste iperelastiche

Equazioni iperboliche alle derivate parziali
- Analisi di equazioni alle derivate parziali in forma di leggi di conservazione o di
bilancio.
- Analisi di di equazioni alle derivate parziali su reti

Alcuni articoli:

[1] F. Ancona: Decomposition of Homogeneous Vector Fields of Degree One and Representation
of the Flow, Analyse non lineaire - Annales de l'Institut Henry Poincare, Vol. 13, n. 2, (1996),
pp. 135-169.
[2] F. Ancona: Normal Forms for Vector Fields with respect to an Arbitrary Dilation, NoDEA
- Nonlinear Dierential Equations and Applications, Vol. 3, n. 3, (1996), pp. 305-322.
[3] F. Ancona & A. Marson: On the Attainable Set for Scalar Non-linear Conservation Laws
with Boundary Control, SIAM Journal on Control and Optimizations, Vol. 36, n. 1, (1998),
pp. 290-312.
[4] F. Ancona & A. Marson: Scalar Non-linear Conservation Laws with Integrable Boundary
Data, Nonlinear Analysis Theory Methods and Applications, Vol. 35, (1998), pp. 687-710.
[5] F. Ancona & A. Bressan: Patchy Vector Fields and Asymptotic Stabilization, ESAIM -
Control, Optimisation and Calculus of Variations, Vol. 4, (1999), pp. 445-471.
[6] F. Ancona & A. Marson: A Wave-Front Tracking Algorithm for NxN Non Genuinely
Nonlinear Conservation Laws Journal of Dierential Equations, Vol. 177, (2001), pp. 454-493.
[7] F. Ancona & P. Goatin: Uniqueness and Stability of L1 Solutions for Temple Class Sys-
tems with Boundary and Properties of the Attainable Sets, SIAM Journal on Mathematical
Analysis, Vol. 34, n. 1, (2002), pp. 28-63.
[8] F. Ancona & A. Bressan: Flow Stability of Patchy Vector Fields and Robust Feedback
Stabilization, SIAM Journal on Control and Optimizations, Vol. 41, n. 5, (2003), pp. 1455-
1476.
[9] F. Ancona & A. Bressan: Stability Rates for Patchy Vector Fields, ESAIM - Control,
Optimisation and Calculus of Variations, Vol. 10, (2004), pp. 168-200.
[10] F. Ancona & A. Marson: Well-posedness for General 22 Systems of Conservation Laws,
American Mathematical Society Memoir 169, no. 801 (2004).
[11] F. Ancona & G.M. Coclite: On the Attainable set for Temple Class Systems with Boundary
Controls, SIAM Journal on Control and Optimizations, Vol. 43, n. 6, (2005), pp. 2166-2190.
[12] F. Ancona & A. Bressan: Nearly time optimal stabilizing patchy feedbacks, Analyse non
lineaire - Annales de l'Institut Henry Poincare. Vol. 24, n. 2, (2007), pp. 279-310.
[13] F. Ancona & A. Marson: Existence theory by front-tracking for general nonlinear hyperbolic
systems, Archive for Rational Mechanics and Analysis 185, no. 2 (2007), pp. 287-340.
[14] F. Ancona & A. Marson: Asymptotic stabilization of systems of conservation laws by con-
trols acting at a single boundary point, in Control Methods in PDE-Dynamical Systems,
pp. 1-43, AMS Contemporary Mathematics Series 426 (AMS, Providence, 2007).
[15] F. Ancona & A. Bressan: Patchy feedbacks for stabilization and optimal control: general
theory and robustness properties., in: Geometric control and nonsmooth analysis, Proceedings
of Geometric control and nonsmooth analysis conference (World Sci. Publ., Hackensack, NJ, 2008).
[16] F. Ancona & A. Marson: A locally quadratic Glimm functional and sharp convergence rate
of the Glimm scheme for nonlinear hyperbolic systems, Archive for Rational Mechanics and
Analysis 196, no. 2 (2010), pp. 455-487.
[17] F. Ancona & A. Marson: Sharp convergence rate of the Glimm scheme for general nonlinear
hyperbolic systems, Communications in Mathematical Physics, Vol. 302, no. 3 (2011), pp. 581-
630.
[18] F. Ancona, O. Glass & K.T. Nguyen: Lower compactness estimates for scalar balance
laws, (2011), Communications on Pure and Applied Mathematics, Vol. 65, no. 9 (2012), pp.
1303-1329.