Publications
[1] "Remarks on a theorem of
Fel'dbaum", Boll. Un. Mat. Ital., Vol.11, Suppl. fasc. 3, pp.
554-564, (1975).
[2] "A fixed
point theorem for non compact acyclic-valued maps", (with G. Conti),
Rend. Accad. Sci. Fis. Mat., Napoli, Vol.42, pp.1-8, (1975).
[3] "A topological
degree for multivalued A-proper maps in Banach spaces", (with I.
Massabò), Boll. Un. Mat. Ital., Vol.13-B, pp.672-685, (1976).
[4] "On surjectivity for
e-quasibounded multivalued maps", (with G. Conti), Rend. Accad. Naz.
dei Lincei, Classe di Sci. Fis. Mat. Nat., Vol.61, pp.195-201,
(1976).
[5] "A definition of
asymptotic spectrum for multivalued maps in Banach spaces", (with G.
Conti), Atti Sem. Mat. Fis. Univ. Modena, Vol. 26, pp.1-14, (1977).
[6]
"Positive
solutions of a nonlinear eigenvalue problem with discontinuous non
linearity", Proc. Roy. Soc. Edinburgh, Sect. A, Vol.83-A,
pp.133-145, (1979).
[7]
"Set-valued
perturbation of differential equations at resonance", (with G. Conti
and I. Massabò), Nonlinear Anal., Vol.4, N. 6, pp.1031-1041, (1980).
[8]
"A
result on the existence of infinitely many solutions of a nonlinear
elliptic boundary value problem at resonance", (with I. Massabò and
M.P. Pera), Boll. Un. Mat. Ital., Vol.17-A, pp.523-530, (1980).
[9] "On the
solvability of nonlinear equations in
Banach spaces", (with I. Massabò and J. Pejsachowicz),
Proc. on "Fixed Point Theory", Sherbrooke, Quebec,
Lectures Notes in Mathematics N.
886, pp.270-299, (1980).
[10] "Periodic control problems for a class of
nonlinear periodic differential systems", Nonlinear Anal., Vol.7, N.1,
pp.79-90, (1983).
[20] "A tracking problem for uncertain vector
systems", (with J.W. Macki and P. Zecca), Nonlinear Anal., Vol.14,
N.4, pp.319-328, (1990).
Corrigendum
to "A tracking problem for uncertain vector systems", (with J.W. Macki
and P. Zecca), Nonlinear Anal., Vol. 20, N. 2, pp. 191-192, (1993).
[42] "Periodic solutions and optimization
problems for a class of semilinear parabolic control systems", (with
W. Allegretto), Topol. Methods Nonlinear Anal., Vol.5, N.2,
pp.345-356, (1995).
[43] "A sliding manifold
approach to the feedback control of rigid robots", (with A. Cavallo
and G. De Maria), Int. J. Robust and Nonlinear Control, Vol.6,
pp.501-516, (1996).
[48] "Periodic solutions to differential
equations with delay", (with J.W. Macki and P. Zecca), Canad. Appl.
Math. Quart., Vol.4, N.2, pp.197-210, (1996).
[49] "On periodic solutions of a damped wave
equation in a thin domain using degree theoretic methods", (with R.
Johnson and M. Kamenski), Jour. Diff. Eqns, Vol.140, N.1, pp.186-208,
(1997).
[50] "On the
existence of periodic solutions of an hyperbolic equation in a thin
domain", (with R. Johnson and M. Kamenski), Rend. Mat. Acc. Lincei,
Serie 9, Vol.8, pp.189-195, (1997).
[51] "Differential inclusions on proximate
retracts of Hilbert spaces", (with L. Go'rniewicz and V. Obukhovski),
Nonlinear Diff. Eqns, Theory, Methods and Appl., Vol.3, pp.13-26,
(1997).
[52] "On the dynamical behaviour of the
approximate equivalent control in sliding manifold systems", (with R.
Johnson), Canad. Appl. Math. Quart., Vol.6, pp.119-138, (1998).
[53] "Existence of periodic solutions for an
autonomous damped wave equation in a thin domain", (with R. Johnson
and M. Kamenski), J. Dyn. Diff. Equat., Vol.10, pp.409-424, (1998).
Erratum to "Existence of periodic
solutions for an autonomous damped wave equation in a thin domain" (with
R. Johnson and M. Kamenski), J. Dyn. Diff. Equat., Vol.12, N.3, pp.
675-679, (2000).
[54] "Control and optimization of nonlocal
steady-state problems", (with W. Allegretto), Lecture Notes in
Nonlinear Anal., Vol. 2, pp.9-18, Ed. Juliusz Schauder Center for
Nonlinear Studies, Nicholaus Copernicus Univ., Torun, Poland, (1998).
[56] "Existence and optimal
control for periodic parabolic equations with nonlocal terms" (with W.
Allegretto), IMA J. of Math. Control Inform., Vol.15, pp.1-16, (1999).
[58] "On a class of nonlocal problems with
applications to mathematical biology", (with W. Allegretto), Fields
Institute Communications, Vol. 21, pp.1-14, (1999).
[59] "Bifurcation of periodic solutions of the
Navier-Stokes equation in a thin domain", (with R. Johnson and M.
Kamenski), Topol. Methods Nonlinear Anal., Vol.13, N.2, pp.281-300,
(1999).
[60] "Topological essentiality and nonlinear
boundary value control problems ", (with L. Gorniewicz), Topol. Methods
Nonlinear Anal., Vol.13, N.1, pp.53-72, (1999).
[61] "On the existence of
periodic solutions of the Navier-Stokes equations in a thin domain using
the topological degree", (with R. Johnson and M. Kamenski), J. Dyn.
Diff. Equat., Vol.12, pp.681-712, (2000).
[62] "Bifurcation and multiplicity results for
periodic solutions of a damped wave equation in a thin domain", (with
R. Johnson and M. Kamenski), J. Comput. Appl. Math., Vol.113, NN.1-2,
pp.123-139, (2000).
[63] "Feedback stability of closed sets for
nonlinear control systems", (with L. Gorniewicz), in "Progress in
Nonlinear Differential Equations and Their Applications" Vol.40,
pp.165-175, Birkauser Verlag Basel, Switzerland, (2000).
[64] "A result on the singular perturbation
theory for differential inclusions in Banach spaces", (with A.
Andreini and M. Kamenski), Topol. Methods Nonlinear Anal., Vol.15,
N.1, pp.1-15, (2000).
[65] "A second order sliding control approach
for vibration reduction", (with A. Cavallo and E. Zoli), Differ. Equ.
Dyn. Syst., Vol.8, NN.3/4, pp.301-323, (2000).
[66] "Periodic
solutions of a perturbed system of differential inclusions in Banach
spaces", (with M. Kamenski), in "Set-valued mappings with applications
in nonlinear analysis", Series in Mathematical Analysis and
Applications Vol.4, pp.213-226, Gordon and Breach Science Publishers,
London 2001.
[67] "Two nonlinear feedback control
problems on proximate retracts of Hilbert spaces", (with L. Gorniewicz),
Nonlinear Anal., Vol.47, pp.1003-1015, (2001).
[68] "A Tikhonov type Theorem for abstract
parabolic differential inclusions in Banach spaces", (with A. Gudovich
and M. Kamenski), Discussiones Mathematicae - Differential inclusions,
Control and Optimization, Vol.21, N.2, pp.207-234, (2001).
[69] "On open-loop and feedback attainability of a closed set for
nonlinear control systems", (with M. Quincampoix), J. Math. Anal.
Appl., Vol.270, N.2, pp.474-487, (2002).
[70] "Sliding mode control of uncertain
systems: a singular perturbation approach", (with M. Kamenski and M.
Quincampoix), IMA J. Math. Control Inform., Vol.19, pp.377-398,
(2002).
[71] "Singularly perturbed second order
differential inclusions by an averaging method approach", (with M.
Kamenski and M. Quincampoix), Int. J. Pure Appl. Math., Vol.3, N.3,
pp.343-355, (2002).
[73] "An averaging method for
singularly perturbed system of semilinear differential inclusions with
$C_0$-semigroups", (with M. Kamenski), Set-Valued Analysis, Vol.11,
pp.345-357, (2003).
[74] "On an approach in the theory of
ordinary differential equations with small parameter", (with M. Kamenski
and O. Makarenkov), Doklady Akademii Nauk, Vol.338, pp.439-442, (2003).
[75] "Global
convergence of neural networks with discontinuous neuron activations",
(with M. Forti), IEEE Trans. Circuits Syst., Vol.50, N.11,
pp.1421-1435, (2003).
[76] "Periodic solutions for a
class of singularly perturbed systems", (with M. Kamenski and O.
Makarenkov), Dyn. Contin. Discrete and Impuls. Syst., Ser. A Math.
Anal., Vol.11, pp.41-55, (2004).
[77] "On the effect of neuron activation gain on
robustness of complete stability", (with M. Di Marco, M. Forti and A.
Tesi), Internat. J. Bifur. Chaos Appl. Sci. Engrg, Vol.14, N.5,
pp.1807-1811, (2004).
[78] "Small parameter perturbations of
nonlinear periodic systems", (with M. Kamenski and O. Makarenkov),
Nonlinearity, Vol.17, pp.1-13, (2004).
[79] "Periodic solutions for
singularly perturbed systems in infinite dimensional spaces with
hysteresis: an averaging approach", (with A. Gudovich and M. Kamenski),
Int. J. Pure Appl. Math., Vol.17, N.1, pp.71-93, (2004).
[80] "Generalized neural network for nonsmooth
nonlinear programming problems", (with M. Forti and M. Quincampoix),
IEEE Trans. Circuits Syst., Vol.51, N.9, pp.1741-1754, (2004).
[81] "On the dynamics of a differential
inclusion built upon a nonconvex constrained minimization problem",
(with M. Quincampoix), J. Optim. Theory Appl., Vol.124, N.3,
pp.659-672, (2005).
[82] "Global
exponential stability and global convergence in finite time of delayed
neural networks with infinite gain", (with M. Forti and D. Papini),
IEEE Trans. Neural Networks, Vol.16, N.6, pp.1449-1463, (2005).
[83] "Periodic solutions
of periodically perturbed planar autonomous systems: A topological
approach", (with M. Kamenski e O. Makarenkov), Adv. Differential
Equations, Vol.11, N.4, pp.399-418, (2006).
[84] "Generalized
Lyapunov approach for convergence of neural networks with
discontinuous or non-Lipschitz activations", (with M. Forti, M.
Grazzini and L. Pancioni), Physica D: Nonlinear Phenomena, Vol.214,
pp.88-99, (2006).
[85] "Convergence of neural networks for programming problems
via a nonsmooth \L ojasiewicz inequality", (with M. Forti and M.
Quincampoix), IEEE Trans. Neural Networks, Vol.17, N.6, pp.1471-1486,
(2006).
[86] "Dynamical analysis of
full-range cellular neural networks by exploiting differential
variational inequalities", (with G. De Sandre, M. Forti and A.
Premoli), IEEE Trans. Circuits Syst. I, Vol.54, N.8, pp.1736-1749,
(2007).
[87] "Global consistency of decisions and
convergence of competitive cellular neural networks", (with M.Di
Marco, M. Forti, M. Grazzini and L. Pancioni), Internat. J. Bifur.
Chaos Appl. Sci. Engrg, Vol.17, N.9, pp.3127-3150, (2007).
[88] "An averaging method for
singularly perturbed systems with hysteresis in infinite dimensional
spaces", (with A. Gudovich, M. Kamenskii and M. Quincampoix), Differ.
Equ. Dyn. Syst., Vol.15, NN.3/4, pp.267-294, (2007).
[89] "Synchronization
problems via a nonlinear feedback approach", (with O. Makarenkov and
D. Papini), Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal.,
Vol.15, N.4, pp.453-468, (2008).
[90] "Periodic solutions for planar
autonomous systems with nonsmooth periodic perturbations", (with O.
Makarenkov), J. Math. Anal. Appl., Vol.338, pp.1401-1417, (2008).
[91] "A continuation
principle for a class of periodically perturbed autonomous systems",
(with M. Kamenski and O. Makarenkov), Math. Nachr., Vol.281, N.1,
pp.42-61, (2008).
[92] "On the rate of
convergence of periodic solutions in perturbed autonomous systems as
the perturbation vanishes", (with O. Makarenkov), Commun. Pure Appl.
Anal., Vol.7, N.1, pp.49-61, (2008).
[93] "Periodic
bifurcation from families of periodic solutions for semilinear
differential equations with Lipschitzian perturbation in Banach
spaces", (with M. Kamenski and O. Makarenkov), Adv. Nonlinear Stud.,
Vol.8, pp.271-288, (2008).
[94] "Lyapunov Method and convergence of the
full-range model of CNNs", (with M.Di Marco, M. Forti, M. Grazzini and
L. Pancioni), IEEE Trans. Circuits Syst. I, Vol.55, N.11,
pp.3528-3541, (2008).
[95] "On bifurcation of periodic solutions for
functional differential equations of the neutral type with small
delay", (with M. Kamenskii and Yu. Lysakova), Autom. Remote Control,
Vol.69, N.12, pp.2027-2032, (2008).
[96] "On the behavior of periodic solutions of
planar autonomous Hamiltonian systems with
multivalued periodic perturbations ", (with O. Makarenkov and L.
Malaguti), Z. Anal. Anwend. Vol.30, pp. 129-144, (2011).
DOI: 104171/ZAA/1428.
[97] "Non-trivial non-negative periodic
solutions of a system of doubly degenerate parabolic equations with
nonlocal terms", (with G. Fragnelli and D. Papini), Discrete Contin.
Dyn. Syst. Ser. A, Vol.31, N.1, pp. 35-64, (2011).
DOI: 10.3934/dcds.2011.31.35. Corrigendum
to
"Non-trivial non-negative periodic solutions of a system of doubly
degenerate parabolic equations with nonlocal terms", (with G.
Fragnelli and D. Papini), Discrete Cont. Dyn. Syst. Ser. A, Vol. 33,
N. 8, pp. 3831-3834, (2013). DOI: 10.3934/dcds.2013.33.3831.
[98] "Positive periodic
solutions and optimal control for a distributed
biological model of two interacting species",
(with G. Fragnelli e D. Papini), Nonlinear Anal. Real World
Appl. Vol.12, N.3, pp. 1410-1428, (2011). DOI:
10.1016/j.nonrwa.2010.10.002.
[99] "Coexistence and optimal control problems
for a degenerate predator-prey model", (with W. Allegretto, G.
Fragnelli e D. Papini), J. Math. Anal. Appl., Vol.378, N.2, pp.
528-540, (2011).
DOI: 10.1016/j.jmaa.2010.12.036.
[100]
"An alternative approach to study bifurcation from a
limit cycle in periodically perturbed autonomous systems", (with M.
Kamenski and O. Makarenkov), J. Dyn. Diff. Equat., Vol.23, N.3, pp.
425-435, (2011). DOI: 10.1007/s10884-011-9207-4.
[101] "An infinite
dimensional bifurcation problem with application to a class of
functional differential equations of neutral type", (with J.-F.
Couchouron and M. Kamenski),
Commun. Pure Appl. Anal., Vol. 12, N. 5, pp. 1845-1859, (2013).
DOI: 10.3934/cpaa.2013.12,
[102] '' Nonsmooth bifurcation problems in
finite dimensional spaces via scaling of variables '', (with M.
Kamenskii and B. Mikhaylenko), Differ. Equ. Dyn. Syst., Vol.20, N.3,
pp.191-205, (2012). DOI: 10.1007/s12591-011-0102-6.
[103]
" A study on semiflows generated by cooperative full-range CNNs ",
(with M. Di Marco, M. Forti, M. Grazzini and L. Pancioni), Int. J.
Circ. Theor. Appl., Vol. 40, N.12, pp. 1191-1208, (2012). DOI:
10.1002/cta.1797.
[104] " A bifurcation problem for a class of
periodically perturbed autonomous parabolic equations ", (with M.
Kamenskii and B. Mikhaylenko), Bound. Value Probl. 2013, 2013:101,
N.1. DOI: 10.1186/1687-2770-2013-101. URL:
http://www.boundaryvalueproblems.com/content/2013/1/101.
[105] " Non-trivial, non-negative
periodic solutions of a system of singular-degenerate parabolic
equations with non-local terms ", (with G. Fragnelli, D. Mugnai and D.
Papini), Commun. Contemp. Math.,
Vol. 17, N. 2, [47 pages], (2015). DOI: 10.1142/S0219199714500254.
[106] " Periodic bifurcation problems for
fully nonlinear neutral functional differential equations via an
integral operator approach: the multidimensional degeneration case", (with
J.-F. Couchouron, M. Kamenski
and B. Mikhaylenko), Topol. Methods Nonlinear Anal.,
Vol. 46, N. 2, pp. 631-663, (2015). DOI: 10.12775/TMNA.2015.062.
[107] "Nonsmooth neural network for convex time-dependent constraint
satisfaction problems", (with M. Forti, M. Di Mauro, L. Pancioni), IEEE
Transactions on Neural Networks and Learning Systems, Vol. 27, Issue 2, pp. 295-307, (2016). DOI: 10.1109/TNNLS.2015.2404773.
[108] "Exponential stability of positive
semigroups in Banach spaces", (with Ivan Gudoshnikov and Mikhail
Kamenskii), J. Math. Anal. Appl.,Vol.429, N. 2, pp. 833-848, (2015).
DOI: 10.1016/j.jmaa.2015.04.041.
[109] "Discontinuous neural networks for finite-time solution of
finite-dependent linear equations", (with M. Forti, M. Di Marco, L.
Pancioni), IEEE Transactions on Cybernetics, Vol. 46, Issue 11, pp. 2509-2520, (2016). DOI: 101109/TCYB.2015.2479118.
[110] " A periodic bifurcation problem depending on a random variable", (with M. Kamenskii and P. Raynaud de Fitte), Topol. Methods Nonlinear Anal., (2019) to appear,
DOI:http://dx.doi.org/10.12775/TMNA.2019.043.
OTHERS PAPERS PUBLISHED IN REFEREED PROCEEDINGS
[1] "Nonlinear boundary
value control problems", Proc. 25th IEEE Conference on Decision and
Control, pp.600-601, Athens 1986.
[2]
"On
the limit cycles in feedback bilinear systems" (with R. Genesio),
Proc. 27th IEEE Conference on Decision and Control, pp.946-947, Austin
1988.
[3]
"A
direct polynomial approach to LQ regulation", (with E. Mosca), Lecture
Notes of the Workshop on "The Riccati Equation in Control, Systems and
Signals", Como 1989, pp.8-11, Pitagora Editrice, Bologna.
[4]
"Control
problems for vector systems with deterministic uncertainty". Proc. 29th
IEEE Conference on Decision and Control, pp.2830-2832, Honolulu 1990.
[5]
"A
note on optimal control problems", (with P. Zecca), Proc. 30th IEEE
Conference on Decision and Control, pp.2893-2894, Brighton 1991.
[6]
"Feedback
control problems in Banach spaces", (with M.I. Kamenski, V.V.
Obukhovski and P. Zecca), Proc. MTNS-93, pp.741-744, Regensburg 1993.
[7]
"Linear
tracking problems by a sliding manifold approach", (with A. Cavallo
and G. De Maria), Proc. of the 2th. ECC-Conference, pp.854-858,
Groningen 1993.
[8]
"Sliding
mode techniques with robust observers", (with A. Cavallo and G. De
Maria), Proc. Workshop on "Robust Control via Variable Structure &
Lyapunov Techniques", pp.261-265, Benevento, September 1994, .
[9]
"Robust
LQ design by a sliding manifold approach", (with A. Cavallo and G. De
Maria), Proc. 1st IFAC Workshop on "New Trends in Design of Control
Systems", pp.15-18, Smolenice, Slovakia, September 1994.
[10]
"An
approximation method for the existence of periodic solutions to
systems with delay", (with J.W. Macki and P. Zecca), Z. Angew. Math.
Mech., Vol. 76, N. 2, pp.205-208, (1996).
[11]
"A
nonlinear tracking problem for control systems with deterministic
uncertainty", (with J.W. Macki and P. Zecca), Proc. 13th World
Congress of IFAC, Vol.E, pp.359-363, San Francisco, June 30 - July 5,
1996.
[12]
"Dynamical
stability of the approximate equivalent control in sliding manifold
systems", (with R. Johnson), Proc. 36th IEEE Conference on Decision
and Control, pp.4446-4450. San Diego 1997.
[13]
"An
analog of A.N. Tikhonov theorem for abstract parabolic differential
inclusions in Banach spaces", (with A. Gudovich and M. Kamenski), VIII
Mathematics Computer Education Conference, Mosca, January 31 -
February 4, 2001. Collect of papers - part II, Edited by G. Ju.
Riznichenko, pp.307-310. Ed. Moscow Progress Tradition, 2001.
(The enclosed copy is the full version of
the paper).
[14]
"On
global stability of Hopfield neural networks with discontinuous
activations", (with M. Forti), 2003 IEEE Int. Symp. Circuits and
Systems, pp.478-481, Bangkok, Thailand, May 25-28, 2003.
[15]
"Small
periodic perturbations of autonomous self-oscillating planar systems",
(with M. Kamenski and O. Makarenkov), IFAC Workshop on Periodic
Control Systems, pp.363-366, Yokohama,
Japan, August 30 - September 1, 2004.
[16]
"
On the properties of solutions to a differential inclusion associated
with a nonsmooth constrained optimization problem", (with M.
Quincampoix), IEEE CDC-ECC'05, pp. 5832-5836, Seville, Spain,
December 12-15, 2005.
[17]
"A
result on global convergence in finite time for nonsmooth neural
networks", (with M. Forti, M. Grazzini, L. Pancioni), Proc. 2006 IEEE
Int. Symp. Circuits and Systems, pp.759-762, Kos,
Greece, May 21-24, 2006.
[18] "Full-range cellular
neural networks and differential variational inequalities", (with G.
De Sandre, M. Forti e A. Premoli), Proc. 2006 IEEE Int. Symp. Circuits
and Systems, pp.2173-2176, Kos, Greece, May 21-24, 2006.
[19]
"A
study on convergence of competitive CNNs", (with M.Di Marco, M. Forti,
M. Grazzini e L. Pancioni), Proc. 2007 IEEE Int. Symp. Circuits and
Systems, pp.3155-3158, New Orleans, May 27-30, 2007.
[20]
"State
variables scaling to solve the Malkin's problem on periodic
oscillations in perturbed autonomous systems", (with M. Kamenski and
O. Makarenkov), 6th European Nonlinear Dynamics Conference, ENOC 2008,
June 30-July 4, 2008 Saint Petersburg, Russia.
(http://lib.physcon.ru).
BOOKS
[1] "Funzioni reali di più variabili reali ed equazioni differenziali
ordinarie", (with P. Zezza), Progetto Leonardo, Ed. Esculapio, Bologna,
pp.1-326, 1990.
[2] "Solution sets of differential equations in Banach spaces", (with R.
Dragoni, J.W. Macki and P. Zecca), Pitman Research Notes in Math. Series
N.342, pp.1-100, Ed. Longman, 1996.
[3] "Differential Inclusions and Control Systems", (co-editor with J.
Andres e L. Gorniewicz), Lecture Notes in Nonlinear Analysis, Vol.2,
pp.1-289, Ed. J. Schauder Center for Nonlinear Studies, N.Copernicus
University, Torun, Poland, 1998.
[4] "Nonlinear and Optimal Control Theory", (co-editor with G. Stefani),
A.A. Agrachev, A.S. Morse, E.D. Sontag, H.J. Sussmann, V.I. Utkin, Lecture
Notes in Mathematics N.1932, Springer-Verlag Berlin Heidelberg, pp.1-351,
2008.
[5] Special issue on '' Recent Trends in the
Dynamical Analysis of Neural Networks'',
(co-editor with M. Forti and Vadrevu Sree Hari Rao),
Differ. Equ. Dyn. Syst., Vol. 19, NN. 1-2, 2011.