References
- Ahmad, M. N., Mustafa, G., Khan, A. Q., & Rehan, M. (2014). On the controllability of a sampled-data system under nonuniform sampling. 2014 International Conference on Emerging Technologies (ICET), 44, 65–68. https://doi.org/https://doi.org/10.1109/ICET.2014.7021018
- Ahmed-Ali, T., Karafyllis, I., & Lamnabhi-Lagarrigue, F. (2013). Global exponential sampled-data observers for nonlinear systems with delayed measurements. Systems & Control Letters, 62(7), 539–549. https://doi.org/https://doi.org/10.1016/j.sysconle.2013.03.008
- Ahmed-Ali, T., Postoyan, R., & Lamnabhi-Lagarrigue, F. (2009). Continuous–discrete adaptive observers for state affine systems. Automatica, 45(12), 2986–2990. https://doi.org/https://doi.org/10.1016/j.automatica.2009.09.005
- Aida-Zade, K. R., & Abdullayev, V. M. (2020). On the numerical solution to optimal control problems with non-local conditions. TWMS Journal of Applied and Engineering Mathematics, 10(1), 47–58.
- Ammar, S. (2006). Observability and observateur under sampling. International Journal of Control, 79(9), 1039–1045. https://doi.org/https://doi.org/10.1080/00207170600688933
- Ammar, S., Feki, H., & Vivalda, J. C. (2010). Observability under sampling for bilinear system. International Journal of Control, 87(2), 312–319. https://doi.org/https://doi.org/10.1080/00207179.2013.830338
- Ammar, S., & Vivalda, J. C. (2004). On the preservation of observability under sampling. Systems and Control Letters, 52(1), 7–15. https://doi.org/https://doi.org/10.1016/j.sysconle.2003.08.008
- Barnett, S. (1975). Introduction to mathematical control theory. Clarendon.
- Boskos, D., Cortés, J., & Martínez, S. (2019). Data-driven ambiguity sets with probabilistic guarantees for dynamic processes (pp. 1–15). arXiv:1909.11194v1.
- Bridges, D., & Schuster, P. (2006). A simple constructive proof of Kronecker's density theorem. Elemente der Mathematik, 61, 152–154. https://doi.org/https://doi.org/10.4171/EM
- Ding, F., Qiu, L., & Chen, T. (2009). Reconstruction of continuous-time systems from their non-uniformly sampled discrete-time systems. Automatica, 45(2), 324–332. https://doi.org/https://doi.org/10.1016/j.automatica.2008.08.007
- Farza, M., M'Saad, M., Fall, M. L., Pigeon, E., Gehan, O., & Busawon, K. (2014). Continuous-Discrete time observers for a class of MIMO nonlinear systems. IEEE Transactions on Automatic Control, 59(4), 1060–1065. https://doi.org/https://doi.org/10.1109/TAC.2013.2283754
- Fernández-Cara, E., & Zuazua, E. (2003). Control theory: History, mathematical achievements and perspectives. Boletín SEMA, 26, 79–140.
- Hagiwara, T. (1995). Preservation of reachability and Observability under sampling with a first-order hold. IEEE Transactions on Automatic Control, 40(1), 104–107. https://doi.org/https://doi.org/10.1109/9.362892
- Hardy, G. H., & Wright, E. M. (1960). An introduction to the theory of numbers. Clarendon.
- Kalman, R., Ho, B. L., & Narendra, K. (1963). Controllability of linear dynamical systems. Contributions to Differential Equations, 1, 189–213.
- Karafyllis, I., & Kravaris, C. (2009). From continuous-time design to sampled-data design of observers. IEEE Transactions on Automatic Control, 54(9), 2169–2174. https://doi.org/https://doi.org/10.1109/TAC.2009.2024390
- Kreisselmeier, G. (1999). On sampling without loss of observability/controllability. IEEE Transactions on Automatic Control, 44(5), 1021–1025. https://doi.org/https://doi.org/10.1109/9.763221
- Lamnabhi-Lagarrigue, F. (2006). Advanced topics in control systems theory: Lecture notes from FAP 2005. Springer-Verlag.
- Lazaros, M., Karampetakis, N., & Antoniou, E. (2017). Observability of linear discrete-time systems of algebraic and difference equations. International Journal of Control, 92(2), 339–355. https://doi.org/https://doi.org/10.1080/00207179.2017.1354399
- Li, C., Wang, L. Y., Yin, G. G., Guo, L., & Xu, C. Z. (2009). Irregular sampling, active observability, and convergence rates of state observers for systems with binary-valued observations. Proc. of the Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, 56(11), 8506–8511. https://doi.org/https://doi.org/10.1109/CDC.2009.5400763
- Mahmudov, E. N. (2011). Approximation and optimization of discrete and differential inclusions. Elsevier.
- Mahmudov, E. N. (2015a). Transversality condition and optimization of higher order ordinary differential inclusions. Optimization, 64(10), 2131–2144. https://doi.org/https://doi.org/10.1080/02331934.2014.929681
- Mahmudov, E. N. (2015b). Optimization of second-order discrete approximation inclusions. Numerical Functional Analysis and Optimization, 36(5), 624–643. https://doi.org/https://doi.org/10.1080/01630563.2015.1014048
- Mahmudov, E. N. (2017). Optimization of higher order differential inclusions with initial value problem. Applicable Analysis, 96(7), 1215–1228. https://doi.org/https://doi.org/10.1080/00036811.2016.1182993
- Mahmudov, E. N. (2018a). Optimization of Mayer problem with Sturm-Liouville type differential inclusions. J. Optim. Theory Appl., 177(2), 345–375. https://doi.org/https://doi.org/10.1007/s10957-018-1260-2
- Mahmudov, E. N. (2018b). Free time optimization of second-order differential inclusions with endpoint constraints. Journal of Dynamical and Control Systems, 24(1), 129–143. https://doi.org/https://doi.org/10.1007/s10883-017-9361-z
- Mahmudov, E. N. (2020). Optimal control of higher order differential inclusions with functional constraints. ESAIM: Control, Optimisation and Calculus of Variations, 26, 37. DOI: https://doi.org/https://doi.org/10.1051/cocv/2019018
- Middleton, G. H., & Freudenberg, E. M. (1995). Non-pathological sampling for generalized sampled-data hold functions. Automatica, 31(2), 315–319. https://doi.org/https://doi.org/10.1016/0005-1098(94)00095-Z
- Nadri, M., Hammouri, H., & Astorga, C. (2004). Observer design for continuous-Discrete time state affine systems up to output injection. European Journal of Control, 10(3), 252–263. https://doi.org/https://doi.org/10.3166/ejc.10.252-263
- Pin, G., Chen, B., & Parisini, T. (2015). The modulation integral observer for linear continuous-time systems functions. In European Control Conference (ECC) (pp. 2932–2939). IEEE.
- Raff, T., Kögel, M., & Allgöwer, F. (2008). Observer with sample-and-hold updating for Lipschitz nonlinear systems with nonuniformly sampled measurements. In 2008 American control conference (pp. 5254–5257).
- Rodríguez-Seda, E. J. (2019). Self-triggered reduced-attention output feedback control for linear networked control systems. IEEE Transactions on Industrial Informatics, 15(1), 348–356. https://doi.org/https://doi.org/10.1109/TII.2018.2804858
- Rogers, E., Galkowski, K., & Owens, D. H. (2007). Control systems theory and applications for linear repetitive processes. Springer-Verlag.
- Sarachik, P. E., & Kreindle, E. (1964). Controllability and observability of linear discrete-time systems. International Journal of Control, 1(5), 419–432. https://doi.org/https://doi.org/10.1080/00207176508905497
- Sontag, E. D. (1998). Mathematical control theory. Deterministic finite-dimensional systems. Springer-Verlag.
- Van Assche, V., Ahmed-Ali, T., Han, C. A. B., & Lamnabhi-Lagarrigue, F. (2011). High gain observer design for nonlinear systems with time varying delayed measurements. In Proceedings of the 18th world congress the international federation of automatic control (IFAC'11) (pp. 692–696).
- Yamé, V. F. (2012). Some remarks on the controllability of sample data systems. SIAM Journal on Control and Optimization, 50(4), 1775–1803. https://doi.org/https://doi.org/10.1137/090765304
- Zhu, Q., Liu, Y., Lu, J., & Cao, J. (2019). Controllability and observability of boolean control networks via sampled-data control. IEEE Transactions on Control of Network Systems, 6(4), 1291–1301. https://doi.org/https://doi.org/10.1109/TCNS.6509490