New stability criteria for linear systems with interval time-varying delay

By Bing Li, Junfeng Wu. Proceedings of 2013 2nd International Conference on Measurement, Information and Control, 2013

102 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/e1fe1712a35e2099c8bba656b9f21ae7b11e98d3

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Citations in the corpus

Improved stability conditions for systems with interval time-varying delay (2012, methodology): “In existing papers, we noticed that if multi-integral terms were introduced in the LKFs, the conservatism can be reduced, such as introducing the double-integral terms in [10,14], introducing tripleintegral terms in [12,16], which motivated our research.”
Stability analysis of systems with time-varying delay via relaxed integral inequalities (2016, methodology): “, 4, many other state-based vectors, such as x(t − d(t)), x(t − h/2), x(t − h), and ẋ(t), were used to construct more general form of augmented LKFs in literature [17,18,26,31].”
Novel delay‐derivative‐dependent stability criteria using new bounding techniques (2013, background): “The stability of the system described by (1) and (2) has received considerable attention in recent years because some system such as a networked control system can be modeled in the form of (1) and (2), see for example [1] and [2].”
Integral partitioning approach to robust stabilization for uncertain distributed time‐delay systems (2012, methodology): “Making use of the delay bound information, a new Lyapunov functional is presented in [10] which improved the result in [9].”
Stability of Linear Systems With Time-Varying Delays Using Bessel–Legendre Inequalities (2018, background): “In the literature, there exist several major results on this topic, see for instance the Lyapunov-Krasovskii approach [24], [8], [15], [5], [23], [10], the “Input-to-State” or “Input -to-Output” approaches [6], which are related to the robust analysis [1], [11].”