Leader-following consensus of discrete-time multiagent systems with time-varying delay based on large delay theory

The reachable set estimation problem for discrete-time systems with delay-range-dependent and bounded disturbances is investigated. A triple-summation term, the upper bound, and the lower bound of time-varying delay are introduced into the Lyapunov function. In this case, an improved delay-range-dependent criterion is established for the addressed problem by constructing the appropriate Lyapunov functional, which guarantees that the reachable set of discrete-time systems with time-varying delay and bounded peak inputs is contained in the ellipsoid. It is worth mentioning that the initial value of the system does not need to be zero. Then, the reachable set estimation problem for time-delay systems with polytopic uncertainties is investigated. The effectiveness and the reduced conservatism of the derived results are demonstrated by an illustrative example.

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Robust Exponential Stability for Uncertain Discrete-Time Switched Systems with Interval Time-Varying Delay via a Switching Signal

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.479-480.983 ◽

2013 ◽

Vol 479-480 ◽

pp. 983-988

Author(s):

Jenq Der Chen ◽

Chang Hua Lien ◽

Ker Wei Yu ◽

Chin Tan Lee ◽

Ruey Shin Chen ◽

...

Keyword(s):

Exponential Stability ◽

Discrete Time ◽

Switched Systems ◽

Time Varying ◽

Signal Design ◽

Robust Exponential Stability ◽

Interval Time ◽

Time Varying Delay ◽

Switching Signal ◽

Varying Delay

In this paper, the switching signal design to robust exponential stability for discrete-time switched systems with interval time-varying delay is considered. LMI-based conditions are proposed to guarantee the global exponential stability for such system with parametric perturbations by using a switching signal. The appropriate Lyapunov functionals are used to reduce the conservativeness of systems. Finally, a numerical example is illustrated to show the main results.

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Fuzzy-model-based admissibility analysis and output feedback control for nonlinear discrete-time systems with time-varying delay

Information Sciences ◽

10.1016/j.ins.2017.05.040 ◽

2017 ◽

Vol 412-413 ◽

pp. 116-131 ◽

Cited By ~ 10

Author(s):

Jian Chen ◽

Chong Lin ◽

Bing Chen ◽

Qing-Guo Wang

Keyword(s):

Feedback Control ◽

Discrete Time ◽

Output Feedback ◽

Fuzzy Model ◽

Output Feedback Control ◽

Time Varying ◽

Time Varying Delay ◽

Discrete Time Systems ◽

Time Systems ◽

Varying Delay

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New stability conditions for a class of nonlinear discrete-time systems with time-varying delay

10.36227/techrxiv.14152046.v1 ◽

2021 ◽

Author(s):

SAMI ELMADSSIA ◽

KARIM SADAAOUI

Keyword(s):

Discrete Time ◽

Stability Conditions ◽

Time Varying ◽

Time Varying Delay ◽

Discrete Time Systems ◽

Matrix Properties ◽

Arrow Form Matrix ◽

Bounded Nonlinearity ◽

Time Systems ◽

Varying Delay

The problem of stability analysis for a class of nonlinear discrete time systems with time varying delay is studied in this work. Such systems are modeled by delayed difference equations. Subsequently, this system is transformed into an arrow form matrix representation. Using M-matrix properties, novel sufficient stability conditions are determined. It is shown how to use our method to design a state feedback controller that stabilizes a discrete time Lure system with time varying delay and sector bounded nonlinearity. The originalities of our findings are shown in their explicit representation, using system’s parameters, as well as in their easiness to be employed. The obtained results demonstrate also that checking stability of a nonlinear discrete time systems with time varying delay can be reduced to an M-matrix test. Several examples are provided to show the effectiveness of the introduced technique. <br>

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