, ? 0, and where M 2 , M 3 , and ? are nonnegative for all t ? 0, then noting that each entry of the state transition matrix ? M1 for M 1 is positive valued
, Since t ? t i ? ? for all t ? [t i , t i+1 ), and since (52) gives x(m) = x(m) + z(m) = x(m) ? for all m ?
On practical stability preservation under fast sampling and accurate quantization of feedbacks for nonlinear time-delay systems, IEEE Transactions on Automatic Control ,
Interval observers for uncertain biological systems, Ecological Modelling, vol.133, pp.46-56, 2000. ,
Nonnegative and Compartmental Dynamical Systems, 2010. ,
, Differential Equations: Stability, Oscillations, Time Lags, 1966.
Feedforwarding under sampling, IEEE Transactions on Automatic Control, vol.64, issue.11, pp.4668-4675, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-01923758
Design of continuous-discrete observers for time-varying nonlinear systems, Automatica, vol.57, issue.7, pp.135-144, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01198426
Stability analysis using new variant of Halanay's inequality, Proceedings of the 24th International Symposium on Mathematical Theory of Networks and Systems, pp.23-27, 2021. ,
Exponentially stable interval observers for linear systems with delay, SIAM Journal on Control and Optimization, vol.50, issue.1, pp.286-305, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00761603
Stability and control design for time-varying systems with time-varying delays using a trajectory based approach, SIAM Journal on Control and Optimization, vol.55, issue.1, pp.533-556, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01660100
Sampled-data stabilization of nonlinear dynamics with input delays through immersion and invariance, IEEE Transactions on Automatic Control, vol.62, issue.5, pp.2561-2567, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01484940
Contribution to the Control of Nonlinear Systems under Aperiodic Sampling, 2014. ,
URL : https://hal.archives-ouvertes.fr/tel-01127625
On global exponential stability preservation under sampling for globally Lipschitz time-delay systems, Automatica, vol.82, pp.295-300, 2017. ,
Interval state estimation for a class of nonlinear systems, IEEE Transactions on Automatic Control, vol.57, issue.1, pp.260-265, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00609510
Sampled-data implementation of derivative-dependent control using artificial delays, IEEE Transactions on Automatic Control, vol.63, issue.10, pp.3594-3600, 2018. ,
Backstepping control under multi-rate sampling, IEEE Transactions on Automatic Control, vol.61, issue.5, pp.1208-1222, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01339790