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Stability of discrete state delay systems
Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228), 2002A new method to solve a Lyapunov equation for a discrete delay system is proposed. Using this method, a Lyapunov equation can be solved from a simple linear equation and N-th power of a constant matrix, where N is the state delay. Combining a Lyapunov equation and frequency domain stability, a new stability condition is proposed. The proposed stability
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Observers for Systems with Discrete and Distributed Delays
IMA Journal of Mathematical Control and Information, 1985An observer theory for linear systems containing discrete and distributed delays in its state- and output equations is presented. In particular, existence criteria for observers with finite-dimensional error dynamics are derived. The stabilizability and eigenvalue assignability of the observation error dynamics are expressed in terms of the invariant ...
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On the discretization of a delay differential equation
Journal of Difference Equations and Applications, 2000The dynamics of the delay difference equation μ[δxn+αδxn-N]=-Xn+1+f(xn-N)asn→:∞is studied for small positive μ. The equation is shown to possess stable periodic solutions that correspond to hyperbolic attracting cycles of the one–dimensional map ƒ.
Kennethl. Cooke, Anatolif Ivanov
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On the synchronization of delay discrete models
Chaos, Solitons & Fractals, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peng, Mingshu +2 more
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Synchronization of discrete dynamical networks with non-delayed and delayed coupling
Applied Mathematics and Computation, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Input-to-State Stability of Discrete-Time Delay Systems with Delayed Impulses
Circuits, Systems, and Signal Processing, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xuan Wu, Yu Zhang 0020
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Switched Discrete-Time Delay Systems: Delay-Dependent Analysis and Synthesis
Circuits, Systems & Signal Processing, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Magdi Sadek Mahmoud +2 more
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Delay-independent stability criteria for discrete-delay systems
IEEE Transactions on Automatic Control, 1982Several sufficient conditions for stability of linear discrete-delay systems are derived. Since these conditions are independent of the delay and possess simple forms, they will provide useful tools to check stability of the systems at the first stage.
Mori, Takehiro +2 more
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Some new discrete nonlinear delay inequalities and application to discrete delay equations
2006link_to_OA_fulltext
Tseng, S, Cheung, WS
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Discussion on: “Delay-Dependent H∞ Control of Uncertain Discrete Delay Systems”
European Journal of Control, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dan Popescu 0003, Vladimir Rasvan
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