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Further results on Lyapunov functions for slowly time-varying systems [PDF]
Mathematics of Control, Signals, and Systems, 2007 We provide general methods for explicitly constructing strict Lyapunov functions for fully nonlinear slowly time-varying systems. Our results apply to cases where the given dynamics and corresponding frozen dynamics are not necessarily exponentially stable. This complements our previous Lyapunov function constructions for rapidly time-varying dynamics.
Mazenc, Frédéric, Malisoff, Michael
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Stability and robustness of slowly time-varying linear systems [PDF]
26th IEEE Conference on Decision and Control, 1987 A well known result for finite-dimensional time-varying linear systems is that if each 'frozen time' system is stable, then the time-varying system is stable for sufficiently slow time-variations. These results are reviewed and extended to a class of Volterra integrodifferential equations, specifically, differential equations with a convolution ...
Jeff Shamma, Michael Athans
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Quasi-differentiation and its applications to noisy time series data from complex systems [PDF]
Scientific ReportsThe analysis of time series data from a complex system is challenging, because apart from its multiple stable states arising as low-dimensional manifolds, contribution from the rest of the many variables manifest themselves as state-dependent noise.
Siew Ann Cheong +2 more
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ADOB: A Field-Friendly Control Framework for Reliable Robotic Systems via Complementary Integration of Robust and Adaptive Control [PDF]
SensorsPractical robotic systems require control methods that remain reliable under limited computational resources, uncertain environments, and frequent changes in operating conditions.
Jangyeon Park, Kwanho Yu, Jungsu Choi
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Adaptive Parameter Estimation of Hyperbolic Distributed Parameter Systems: Non-symmetric Damping and Slowly Time Varying Systems [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 1998 Summary: In this paper a model reference-based adaptive parameter estimator for a wide class of hyperbolic distributed parameter systems is considered. The proposed state and parameter estimator can handle hyperbolic systems in which the damping sesquilinear form may not be symmetric (or even present) and a modification to the standard adaptive law is ...
Banks, H. T., Demetriou, M. A.
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Robust Diabatic Grover Search by Landau–Zener–Stückelberg Oscillations
Entropy, 2019 Quantum computation by the adiabatic theorem requires a slowly-varying Hamiltonian with respect to the spectral gap. We show that the Landau−Zener−Stückelberg oscillation phenomenon, which naturally occurs in quantum two-level systems ...
Yosi Atia, Yonathan Oren, Nadav Katz
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Absolute Stability of Discrete-Time Systems with Delay
Advances in Difference Equations, 2008 We investigate the stability of nonlinear nonautonomous discrete-time systems with delaying arguments, whose linear part has slowly varying coefficients, and the nonlinear part has linear majorants.
Medina Rigoberto
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IET Control Theory & Applications, 2022 This paper develops a novel observer‐based robust tracking predictive controller for discrete‐time nonlinear affine systems capable of dealing with changing setpoints and non‐additive non‐slowly varying unknown disturbance with bounded variations.
Abbas Zamani, Hossein Bolandi
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The Dual Nature of Chaos and Order in the Atmosphere
Atmosphere, 2022 In the past, the Lorenz 1963 and 1969 models have been applied for revealing the chaotic nature of weather and climate and for estimating the atmospheric predictability limit.
Bo-Wen Shen +8 more
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Entropy, 2021 In centralized massive multiple-input multiple-output (MIMO) systems, the channel hardening phenomenon can occur, in which the channel behaves as almost fully deterministic as the number of antennas increases.
Tongzhou Han, Danfeng Zhao
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