Articles

1. Lai, A. C., and Motta, M.,
   Converse Lyapunov theorems for control systems with unbounded controls, Journal of Differential Equations 312 (2022): 347-373.


2. Cacace, S., Lai, A. C., and Loreti, P.,
   A dynamic programming approach for controlled fractional SIS models, arXiv:2107.13316, submitted.

3. Balzotti, C., D’Ovidio, M., Lai, A.C., Loreti, P.

   Effects of fractional derivatives with different orders in SIS epidemic models
 (2021) Computation, 9 (8), art. no. 89. 


4. Lai, A.C., Motta, M.
   Stabilizability in optimization problems with unbounded data (2021) Discrete and Continuous Dynamical Systems- Series A, 41 (5), pp. 2447-2474.

5. Komornik, V., Lai, A.C., Loreti, P.
   Simultaneous observability of infinitely many strings and beams
   (2020) Networks and Heterogeneous Media, 15 (4), pp. 633-652.

6. Lai, A.C., Motta, M.
   Stabilizability in optimal control
   (2020) Nonlinear Differential Equations and Applications, 27 (4), art. no. 41,

7. Cacace, S., Lai, A.C., Loreti, P.
   Modeling and optimal control of an octopus tentacle
   (2020) SIAM Journal on Control and Optimization, 58 (1), pp. 59-84.

8. Caponigro, M., Lai, A.C., Piccoli, B.
   A nonlinear model of opinion formation on the sphere
   (2015) Discrete and Continuous Dynamical Systems- Series A, 35 (9), pp. 4241-4266.

9. Lai, A.C., Loreti, P., Vellucci, P.
   A Fibonacci control system with application to hyper-redundant manipulators (2016) Mathematics of Control, Signals, and Systems, 28 (2), art. no. 15.

10. Lai, A.C., Motta, M., Rampazzo, F.
    Minimum restraint functions for unbounded dynamics: general and control-polynomial systems
    (2016) Pure and Applied Functional Analysis, 4 (1), pp. 583-612

11. Lai, A.C., Loreti, P.
    Self-similar control systems and applications to zygodactyl bird's foot
    (2015) Networks and Heterogeneous Media, 10 (2), pp. 401-419.

12. Lai, A.C., Loreti, P.
    Robot's finger and expansions in non-integer bases
    (2012) Networks and Heterogeneous Media, 7 (1), pp. 71-111.

13. Lai, A.C., Loreti, P.
    Robot's hand and expansions in non-integer bases
    (2014) Discrete Mathematics and Theoretical Computer Science, 16 (1), pp. 371-394.

14. A. C. Lai, P. Loreti.
    From discrete to continuous reachability for a robot’s finger model. (2013) Communications in Applied and Industrial Mathematics 3.2

15. A. C. Lai, P. Loreti,
    Expansions in non-integer base in communication control problems, Communications in Industrial and Applied Mathematics, 2 (1) (2011).

Proceedings

16. Cacace, S., Lai, A.C., Loreti, P.
    Constrained reachability problems for a planar manipulator
    To appear on Lecture Notes in Electrical Engineering,

17. Cacace, S., Lai, A.C., Loreti, P.
    Multi-target optimal control problems for a tentacle-like soft manipulator
    (2021) Proceedings of the 18th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2021, pp. 39-48.

18. Cacace, S., Lai, A.C., Loreti, P.
    Optimal Reachability and Grasping for a Soft Manipulator
    (2021) Lecture Notes in Electrical Engineering, 720, pp. 16-34.

19. Cacace, S., Lai, A.C., Loreti, P.
    Optimal reachability with obstacle avoidance for hyper-redundant and soft manipulators (2020)
    ICINCO 2020 - Proceedings of the 17th International Conference on Informatics in Control, Automation and Robotics, pp. 134-141.

20. Motta, M., Lai, A.C.
    Stabilizability in impulsive optimization problems
    (2019) IFAC-PapersOnLine, 52 (16), pp. 352-357.

21. Cacace, S., Lai, A.C., Loreti, P.
    Control strategies for an octopus-like soft manipulator
    (2019) ICINCO 2019 - Proceedings of the 16th International Conference on Informatics in Control, Automation and Robotics, 1, pp. 82-90.

22. Lai, A.C., Loreti, P., Vellucci, P.
    A Continuous Fibonacci Model for Robotic Octopus Arm
    (2016) Proceedings - UKSim-AMSS 2016: 10th European Modelling Symposium on Computer Modelling and Simulation, art. no. 7920236, pp. 99-103.

23. Lai, A.C., Loreti, P., Vellucci, P.
    A model for robotic hand based on fibonacci sequence (2014)
    ICINCO 2014 - Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics, 2, pp. 577-584.

24. A. C. Lai, P. Loreti.
    Reachability for zygodactyl bird’s foot.
    Proceedings of Workshop on Functional Analysis and its Applications in Mathematical Physics and Optimal Control, September 9 - 14, 2013, Nemecka Slovak Republic, 33-34. ISBN 978-90-227-4030-2.

25. Lai, A.C., Loreti, P.
    Discrete asymptotic reachability via expansions in non-integer bases
    (2012) ICINCO 2012 - Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics, 2, pp. 360-365.
    

Projects

1. Komornik, V., Lai, A.C., Loreti, P.
   Simultaneous observability of infinitely many strings and beams (2020) Networks and Heterogeneous Media, 15 (4), pp. 633-652.

2. Lai, A.C.,
   Internal observability of the wave equation in tiled domains
   (2019) Rendiconti di Matematica e delle Sue Applicazioni, 40 (1), pp. 1-16.

Projects:

1. D'Ovidio, M., Lai, A.C., and Loreti, P.
   Generalized binomials in fractional calculus
   to appear on Publicationes Mathematicae Debrecen.

2. Lai, A.C., Pedicini, M., Piazza, M.
   Abstract machines, optimal reduction, and streams
   (2019) Mathematical Structures in Computer Science, 29 (9), pp. 1379-1410.

3. Lai, A.C., Pedicini, M., Rognone, S.
   Quantum entanglement and the Bell matrix
   (2016) Quantum Information Processing, 15 (7), pp. 2923-2936.

4. Lai, A.C.
   Geometrical aspects of expansions in complex bases
   (2012) Acta Mathematica Hungarica, 136 (4), pp. 275-300.

5. Lai, A.C.
   Minimal unique expansions with digits in ternary alphabets
   (2011) Indagationes Mathematicae, 21 (1-2), pp. 1-15.

6. Komornik, V., Lai, A.C., Pedicini, M.
   Generalized golden ratios of ternary alphabets
   (2011) Journal of the European Mathematical Society, 13 (4), pp. 1113-1146.

7. Frougny, C., Lai, A.C.
   Negative bases and automata
   (2011) Discrete Mathematics and Theoretical Computer Science, 13 (1), pp. 75-94.

8. Frougny, C., Lai, A.C.
   On negative bases
   (2009) Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 5583 LNCS, pp. 252-263.