Exponential stability of impulsive systems with application to uncertain sampled-data systems

By Payam Naghshtabrizi, João Pedra Hespanha, Andrew R. Teel. Systems & control letters (Print), 2008

740 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Control and Systems Engineering, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b49f784383b0f43f3fa0a37bbdc245b909b27b92

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In Computer Networks and Communications

In Control and Systems Engineering

In Statistical and Nonlinear Physics

Citations in the corpus

Controller synthesis for networked control systems (2010, methodology): “As also noted in Naghshtabrizi et al. (2008), the usage of infinite-dimensional DDE models and Lyapunov functionals to analyse the stability of essentially finite-dimensional sampled-data NCS does not seem to offer any advantage.”
Networked control systems: a survey of trends and techniques (2020, background): “However, those criteria are conservative [31] since they should be satisfied for any continuous delay , which is a constraint stricter 2 IEEE/CAA JOURNAL OF AUTOMATICA SINICA, VOL.”
A refined input delay approach to sampled-data control (2010, methodology): “Differently from Naghshtabrizi et al. (2008), our main result for variable 0005-1098/$ – see front matter© 2009 Elsevier Ltd.”
Continuous-Discrete Time Observer for a class of MIMO Nonlinear Systems (2013, positive): “The observer convergence analysis as well as the determination of its gain are obtained using LMI tools similar to those described in [15].”
A novel stability analysis of linear systems under asynchronous samplings (2012, methodology): “Improvements are provided in [4, 12], using the small gain theorem and in [13] based on the analysis of impulsive systems.”
Survey on Recent Advances in Networked Control Systems (2016, methodology): “Employing the input delay approach, the maximum upper bound of two consecutive samplings and corresponding controller can be obtained easily.”
Sampling‐interval‐dependent stability for sampled‐data systems with state quantization (2014, methodology): “Recently, the stability for system (19) is studied in [10] and [14] by employing Lyapunov functional methods.”
Network-based leader-following consensus for distributed multi-agent systems (2013, result): “The proof is similar to that of Theorem 1 in Naghshtabrizi, Hespanha, and Teel (2008).”
Recent developments on the stability of systems with aperiodic sampling: An overview (2017, methodology): “The stability of equilibria for the impulsive systems of the form (37) can be ensured by the existence of candidate Lyapunov functions that depend both on the system state and on time, and evolve in a discontinuous manner at impulse instants (Bainov & Simeonov, 1993; Haddad et al., 2014; Naghshtabri”
Wirtinger's inequality and Lyapunov-based sampled-data stabilization (2012, methodology): “Proof: (i)Differentiating V̄1(t) along (5) and taking into account (16), we find”
Stability of Linear Systems With Time-Varying Delays Using Bessel–Legendre Inequalities (2018, background): “Clearly, there is a room for improvements if we consider a thinner description of the delay set as it has been already noted in [9], [14] for sampled-data systems.”
Robust sampled-data control of a class of semilinear parabolic systems (2012, background): “Sampled-data control of finite-dimensional systems have been studied extensively over the past decades (see e.g. Chen and Francis (1995), Naghshtabrizi, Hespanha, and Teel (2008), Fujioka (2009), Fridman (2010) and the references therein).”