SIAM Journal on Control and Optimization
Stability of Time-Delay Systems
Stability of Time-Delay Systems
Brief paper: Sampled-data H∞ control and filtering: Nonuniform uncertain sampling
Automatica (Journal of IFAC)
Technical communique: Stability and robust stability for systems with a time-varying delay
Automatica (Journal of IFAC)
Brief paper: Stability analysis of systems with aperiodic sample-and-hold devices
Automatica (Journal of IFAC)
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Technical Communique: Robust sampled-data stabilization of linear systems: an input delay approach
Automatica (Journal of IFAC)
Network-based robust H∞ control of systems with uncertainty
Automatica (Journal of IFAC)
Robustness analysis for the certification of digital controller implementations
Proceedings of the 1st ACM/IEEE International Conference on Cyber-Physical Systems
Brief paper: A novel stability analysis of linear systems under asynchronous samplings
Automatica (Journal of IFAC)
Brief paper: Wirtinger's inequality and Lyapunov-based sampled-data stabilization
Automatica (Journal of IFAC)
Brief paper: Robust sampled-data control of a class of semilinear parabolic systems
Automatica (Journal of IFAC)
A state dependent sampling for linear state feedback
Automatica (Journal of IFAC)
Random stabilization of sampled-data control systems with nonuniform sampling
International Journal of Automation and Computing
Robustness of nonlinear systems with respect to delay and sampling of the controls
Automatica (Journal of IFAC)
Wirtinger-based integral inequality: Application to time-delay systems
Automatica (Journal of IFAC)
Output stabilization of time-varying input delay systems using interval observation technique
Automatica (Journal of IFAC)
On exponential stability of integral delay systems
Automatica (Journal of IFAC)
Hi-index | 22.16 |
This paper considers sampled-data control of linear systems under uncertain sampling with the known upper bound on the sampling intervals. Recently a discontinuous Lyapunov function method was introduced by using impulsive system representation of the sampled-data systems (Naghshtabrizi, Hespanha, & Teel, 2008). The latter method improved the existing results, based on the input delay approach via time-independent Lyapunov functionals. The present paper introduces novel time-dependent Lyapunov functionals in the framework of the input delay approach, which essentially improve the existing results. These Lyapunov functionals do not grow after the sampling times. For the first time, for systems with time-varying delays, the introduced Lyapunov functionals can guarantee the stability under the sampling which may be greater than the analytical upper bound on the constant delay that preserves the stability. We show also that the term of the Lyapunov function, which was introduced in the above mentioned reference for the analysis of systems with constant sampling, is applicable to systems with variable sampling.