Control theory

Control theory

Keywords and phrases: Discrete control theory, hyper-redundant manipulators, self-similar control systems, Fibonacci control system, communication control problems, polynomial control systems, unbounded inputs.

1. A. C. Lai, P. Loreti, Expansions in non-integer base in communication control problems, Communications in Industrial and Applied Mathematics ISSN: 2038-0909, 2 (1) (2011).
2. A. C. Lai, P. Loreti. Discrete asymptotic reachability via expansions in non-integer bases, Proceedings of 9-th International Conference on Informatics in Control, Automation and Robotics, 360-365 (2012).
3. A. C. Lai, P. Loreti, Robot’s finger and expansions in non-integer bases, Networks and Heterogeneus Media, 7 (1) , 71-111, (2012).
4. A. C. Lai, P. Loreti, P. Vellucci. A model for robotic hand based on Fibonacci sequence. Proceedings of 11-th International Conference on Informatics in Control, Automation and Robotics, (2014).
5. A. C. Lai, P. Loreti. Robot’s hand and expansions in non-integer bases, Discrete Mathematics and Theoretical Computer Science, 16:1, 371-394 (2014).
6. 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.
7. A. C. Lai, P. Loreti. From discrete to continuous reachability for a robot’s finger model. Communications in Applied and Industrial Mathematics 3.2 (2013).
8. A. C. Lai, P. Loreti. Self-similar control systems and applications to zygodactyl bird’s foot. Networks and Heterogeneus Media, 10 (2) 401 - 419 (2015)
9. A. C. Lai. A note on the reachability of a Fibonacci control system. (2015)
10. 2. A. C. Lai, P. Loreti, P. Vellucci. A Fibonacci control system with application to hyper-redundant manipulators, Mathematics of Control, Signals, and Systems, 28(2), article number 15 (2016).
11. 1. A. C. Lai, M. Motta, F. Rampazzo. Minimum Restraint Functions for unbounded dynamics: general and control-olynomial systems, Pure and Applied Functional Analysis, 1(4). 583-612.
12. Lai, A.C., Loreti, P., Vellucci, P. A Continuous Fibonacci Model for Robotic Octopus Arm (2017) Proceedings - UKSim-AMSS 2016: 10th European Modelling Symposium on Computer Modelling and Simulation, art. no. 7920236, pp. 99-103.

Numeration systems

Non-standard numeration systems

Keywords and phrases: Expansions in non-integer bases, expansions in complex bases, expansions in negative bases, unique representations, univoque numbers, sturmian sequences, Pisot numbers, Golden Ratio.

12. A.C. Lai, Geometrical aspects of expansions in complex bases, Acta Mathematica Hungarica, 135 1-26, (2012).
13. A.C. Lai, Minimal unique expansions with digits in ternary alphabets, Indagationes Mathematicae, 21 (1-2), 1-15 (2011).
14. V. Komornik, A.C. Lai, M. Pedicini, Generalized golden ratios for ternary alphabets, Journal of the European Mathematical Society, 13 (4), 1113-1146 (2011).
15. Ch. Frougny, A.C. Lai. Negative bases and automata, Discrete Mathematics and Theoretical Computer Science, 13 (1) , 75-94 (2011).
16. Ch. Frougny, A.C. Lai, On negative bases , Proceedings of DLT 09, Lectures Notes in Computer Science, 5583 (2009).

Social dynamics

Social dynamics

Keywords and phrases: opinion formation, multiagent dynamics, nonlinear dynamical systems, modeling, control.

17. M. Caponigro, A. C. Lai, B. Piccoli. A nonlinear model of opinion formation on the sphere. Discrete and Continuous Dynamical Systems - Series A (DCDS-A), 35 (9) 4241-4268 (2015)

Theoretical computer science

Theoretical computer science

Keywords and phrases: quantum computing, entanglement, WM measure .

18. A. C. Lai, M. Pedicini, S. Rognone. Quantum entanglement and the Bell Matrix, to appear on Quantum Information Processing, arXiv:1509.02806.
19. A. C. Lai, M. Pedicini, M. Piazza. Abstract Machines, Optimal Reduction, and Streams, preprint.