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Exponential stability of discrete-time systems with slowly time-varying delays

Nonlinear Analysis: Hybrid Systems, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Da   +4 more
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Adaptive observers for slowly time varying infinite dimensional systems

Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171), 2002
We consider a class of infinite dimensional systems with an unknown time varying perturbation in the input term. The goal here is twofold, namely to estimate the state and identify the unknown parameter in the input term using only input and output measurements. An adaptive observer along with a parameter adaptive law that is based on Lyapunov redesign
Curtain, RF, Demetriou, MA, Ito, K
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Robust stabilization for discrete-time systems with slowly time-varying uncertainty

Journal of the Franklin Institute, 1996
The main contribution of the paper is to develop refined absolute stability criteria for multiple-input/multiple-output discrete-time systems with rate-restricted time-varying nonlinearities. Section 2 introduces the necessary definitions and basic results.
Haddad, Wassim M., Kapila, Vikram
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Methods of system identification for monitoring slowly time-varying structural systems

Proceedings Intelligent Information Systems. IIS'97, 2002
It is often necessary to monitor the response of structural systems for reasons such as the prediction and avoidance of unstable behavior like flutter, monitoring structural parameters (e.g. natural frequency and damping, response of critical structural modes), and detection of structural damage or verification of structural integrity.
E.A. Johnson   +2 more
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Adaptive predictive control of unstable linear slowly time-varying systems

1999 European Control Conference (ECC), 1999
In this paper a robust adaptive predictive control procedure for unstable slowly time-varying plant is derived. Youla and dual Youla parametrization are used to tranform the problem into an easy-to-handle closed loop configuration. From the ID procedure, a plant model and a noise model is derived, that is used to tune the controller.
T. J. J. Van den Boom   +2 more
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Noise level estimation in weakly nonlinear slowly time-varying systems

Measurement Science and Technology, 2008
Recently, a method using multisine excitation was proposed for estimating the frequency response, the nonlinear distortions and the disturbing noise of weakly nonlinear time-invariant systems. This method has been demonstrated on the measurement of nonlinear distortions in the vibration of acoustically driven systems such as a latex membrane, which is ...
Aerts, J.   +3 more
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Singular Perturbation Margin assessment of linear slowly time-varying systems

2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012
Singular Perturbation Margin (SPM) is a stability margin for Nonlinear (NL) systems established from the view of the singular perturbation (time-scale separation) parameter. This paper provides two SPM assessment methods: quantitative and qualitative methods for Linear Slowly Time-Varying (LSTV) systems.
Xiaojing Yang, J. Jim Zhu
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Data-Driven Modeling of Wireless Power Transfer Systems With Slowly Time-Varying Parameters

IEEE Transactions on Power Electronics, 2020
This paper considers the data-driven modeling of a class of phase-controlled wireless power transfer (WPT) systems, where the load may vary slowly with respect to time. The dominant mode analysis suggests that a model of the Hammerstein type, which consists of a static nonlinearity function, followed by a linear time-varying model with a pure time ...
Fengwei Chen   +3 more
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A Popov criterion for systems with slowly time-varying parameters

Proceedings of the 1997 American Control Conference (Cat. No.97CH36041), 1997
Summary: A Popov criterion is derived for systems with slowly time-varying parameters. The parameters and their time derivatives are assumed to take values in convex polytopes.
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On Stability of Nonlinear Slowly Time-Varying and Switched Systems

2018 IEEE Conference on Decision and Control (CDC), 2018
In this paper, we apply a total variation approach to bridge the stability criteria for nonlinear time-varying systems and nonlinear switched systems. In particular, we derive a set of stability conditions applying to both nonlinear time-varying systems and nonlinear switched systems.
Xiaobin Gao   +2 more
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