A Lyapunov-Krasovskii methodology for ISS and iISS of time-delay systems

By Pierdomenico Pepe, Zhong-Ping Jiang. Systems & control letters (Print), 2006

345 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/6cb2abd83a8cad38fc53bccec98608ba7c66fedb

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In Control and Systems Engineering

Citations in the corpus

Input‐to‐state exponents and related ISS for delayed discrete‐time systems with application to impulsive effects (2018, neutral): “From the definition of 𝜌0, we have 𝜌0 = sup k⩾k0,k∈N {𝜌(|A(k)| + |B(k)”
Input Delay Compensation for Forward Complete and Strict-Feedforward Nonlinear Systems (2010, background): “In parallel, over the last ten years, innovative efforts have been ongoing on developing control design and stability analysis for nonlinear systems with state delays [9]–[12], [16], [28], [30], [45], [46], [63].”
Input-to-state stability of impulsive and switching hybrid systems with time-delay (2011, methodology): “The above definitions are parallel to the ones given in Chen and Zheng (2009), Hespanha et al. (2008) and Pepe and Jiang (2006).”
Nonlinear control under wave actuator dynamics with time‐ and state‐dependent moving boundary (2015, background): “Over the last 10 years, many innovations have been made on developing control designs and stability analysis for nonlinear systems with state delays [14–18] and with input delays [19–22].”
Stability of interconnected impulsive systems with and without time delays, using Lyapunov methods (2010, methodology): “The Lyapunov-Krasovskii methodology In this subsection we adapt the Lyapunov-Krasovskii methodology, introduced in [11], to impulsive time-delay systems.”
Characterizations of integral input-to-state stability for bilinear systems in infinite dimensions (2014, background): “ed to generalizations, sophistications and abstractions to cover other types of control systems, such as time-delay systems, discrete-time and hybrid systems as well as trajectory-based systems (e.g. [21, 32, 12, 23] to name a few). The study of ISS of general inﬁnite-dimensional systems and in part”
Event-based broadcasting for multi-agent average consensus (2013, background): “(15) The ISS concept has been extended to time-delay systems in Pepe and Jiang (2006), Teel (1998) and is therefore suitable for the analysis of this system.”