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Delay dependent stability of scalar discrete delay systems
IFAC Proceedings Volumes, 2001Abstract Necessary and sufficient conditions for the delay dependent stability of a linear difference-delay equation are derived. In particular, the delay dependent stability of a scalar delay delay system is related to the existence of a positive Markov parameter sequence for an associated fixed second order system.
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Stabilization of Delay Systems: Delay-Dependent Impulsive Control
IEEE Transactions on Automatic Control, 2017The stabilization problem of delay systems is studied under the delay-dependent impulsive control. The main contributions of this technical note are that, for one thing, it shows that time delays in impulse term may contribute to the stabilization of delay systems, that is, a control strategy which does not work without delay feedback in impulse ...
Xiaodi Li, Shiji Song
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Delay-dependent stability criteria for uncertain neutral systems
2010 Chinese Control and Decision Conference, 2010In this paper, the problem of delay-dependent stability criteria for a class of constant time-delay neutral systems with time-varying structured uncertainties is investigated. By using Lyapunov-Krasovskii functional that splits the whole delay interval into two subintervals and defines different Lyapunov function on each subinterval, The asymptotic ...
null Chang Liu +2 more
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Robust Delay Dependent Stability Analysis of Neutral Systems
2004This chapter focuses on the delay-dependent robust stability of linear neutral delay systems. The systems under consideration are described by functional differential equations, with norm bounded time varying nonlinear uncertainties in the “state”, in the delayed “state” and norm bounded time varing quasilinear uncertainties in the difference operator.
Salvador A. Rodriguez +2 more
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On delay-dependent stability for linear neutral systems
Automatica, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ivanescu, Dan +4 more
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On delay-dependent robust stability of neutral systems
Journal of Control Theory and Applications, 2006Summary: The delay-dependent robust stability of uncertain linear neutral systems with delays is investigated. Both discrete-delay-dependent/neutral-delay-independent and neutral-/discrete-delay-dependent stability criteria will be developed. The proposed stability criteria are formulated in the form of linear matrix inequalities and it is easy to ...
Zhong, Renxin, Yang, Zhi, Wang, Guoli
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Delay-Dependent Robust Stabilization for Uncertain Linear System
2005 IEEE International Conference on Systems, Man and Cybernetics, 2006The problem of delay-dependent robust stabilization for a class of uncertain linear systems with time-varying delay is investigated. The parameter uncertainty under consideration is norm bounded and possibly time-varying. The time delay considered here is assumed to be size-bounded but otherwise arbitrarily fast time-varying.
null Ren-Quan Lu +2 more
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On finite time stability: Novel delay dependent criteria
2015 16th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering (STA), 2015This study presents novel sufficient conditions for both finite-time and practical stability of the continuous linear control systems with latency in the state variables. The analyzed systems are mathematically represented using the state space differential equations with time delay.
I. M. Buzurovic +2 more
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On delay-dependent stability for linear neutral systems
IEEE International Conference Mechatronics and Automation, 2005, 2006This paper focuses on the problem of uniform asymptotic stability of a class of linear neutral systems. By using a descriptor model transformation of the system and Moon's inequality for bounding cross terms, new sufficient conditions for delay dependent stability are given in terms of the existence of solutions of some linear matrix inequalities.
null Yanjun Shen +2 more
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Delay-dependent robust stabilization for uncertain linear system
IEE Irish Signals and Systems Conference 2005, 2005The problem of delay-dependent robust stabilization for a class of uncertain linear systems with time-varying delay is investigated. The parameter uncertainty under consideration is norm bounded and possibly time- varying. The time delay considered here is assumed to be size- bounded but otherwise arbitrarily fast time-varying.
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