Stability Analysis of the Nabla Distributed-Order Nonlinear Systems
Fractal and Fractional, 2022 The stability of the nabla discrete distributed-order nonlinear dynamic systems is investigated in this paper. Firstly, a sufficient condition for the asymptotic stability of the nabla discrete distributed-order nonlinear systems is proposed based on ...
Cuihong Wang, Tianfen Zhu, Yangquan Chen
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Exponential decay of transient values in discrete-time positive nonlinear systems [PDF]
Archives of Control Sciences, 2022 The exponential decay of transient values in discrete-time nonlinear standard and fractional orders systems with linear positive linear part and positive feedbacks is investigated.
Tadeusz Kaczorek, Andrzej Ruszewski
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Towards deterministic subspace identification for autonomous nonlinear systems [PDF]
, 2015 The problem of identifying deterministic autonomous linear and nonlinear systems is studied. A specific version of the theory of deterministic subspace identification for discrete-time autonomous linear systems is developed in continuous time.
Astolfi, A, Padoan, A
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Nonsmooth stabilizability and feedback linearization of discrete-time nonlinear systems [PDF]
, 1996 We consider the problem of stabilizing a discrete-time nonlinear system using a feedback which is not necessarily smooth. A sufficient condition for global dynamical stabilizability of single-input triangular systems is given.
Nijmeijer, H., Simoes, C., Tsinias, J.
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Separation principle for discrete‐time quasi‐one‐sided Lipschitz nonlinear systems
IET Control Theory & Applications, 2021 This paper is concerned with output stabilisation for a class of discrete‐time quasi‐one‐sided Lipschitz nonlinear systems. Firstly, an observer is designed for estimating the state of the systems in terms of quasi‐one‐sided Lipschitz condition and ...
Wenqiang Dong, Guang‐Da Hu, Yuhao Cong
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Global stability of discrete-time non-linear systems with descriptor standard and fractional positive linear parts and scalar feedbacks [PDF]
Archives of Control Sciences, 2020 The global stability of discrete-time nonlinear systems with descriptor positive linear parts and positive scalar feedbacks is addressed. Sufficient conditions for the global stability of standard and fractional nonlinear systems are established.
Tadeusz, Kaczorek, Andrzej, Ruszewski
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Surface breathers in discrete magnetic metamaterials [PDF]
, 2015 We analyze the properties of discrete breathers excited near the edge of a one-dimensional metamaterial created by a truncated array of nonlinear split-ring resonators.
Kivshar, Yuri +2 more
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W-Stability of Multistable Nonlinear Discrete-Time Systems
Discrete Dynamics in Nature and Society, 2012 Motivated by the importance and application of discrete dynamical systems, this paper presents a new Lyapunov characterization which is an extension of conventional Lyapunov characterization for multistable discrete-time nonlinear systems. Based on a new
Zhishuai Ding, Guifang Cheng, Xiaowu Mu
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Van der Pol, Rayleigh and Duffing oscillators in discrete time dynamics
Вестник Самарского университета: Аэрокосмическая техника, технологии и машиностроение, 2016 Using a combination of the method of invariance of pulse characteristics of dynamic systems and the method of parametric synthesis is proposed for time sampling in nonlinear models of oscillatory systems.
V. V. Zaitsev +2 more
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Wavefront depinning transition in discrete one-dimensional reaction-diffusion systems [PDF]
, 2001 Pinning and depinning of wavefronts are ubiquitous features of spatially discrete systems describing a host of phenomena in physics, biology, etc. A large class of discrete systems is described by overdamped chains of nonlinear oscillators with nearest ...
Bonilla, L. L., Carpio, A.
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