Results 91 to 100 of about 37,142 (217)
On the Ψ - Exponential Asymptotic Stability of Nonlinear Lyapunov Matrix Differential Equations
Annals of West University of Timisoara - Mathematics, 2013 This paper deals with (necessary and) sufficient conditions for Ψ-exponential asymptotic stability of the trivial solution of nonlinear Lyapunov matrix differential equations. AMS Subject Classification (2010). 34D20;34D05.
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Quarterly Journal of the Royal Meteorological Society, EarlyView.The predictability of western and eastern North Pacific blocking events is assessed using analogue‐based diagnostics. Eastern blocks exhibit lower predictability, characterized by faster error growth and higher mean logarithmic divergence rates. The study highlights geographical contrasts in blocking stability.
Anupama K. Xavier +3 more
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Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang +3 more
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International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT The importance of frequency domain methods in analysis and design of sliding mode (SM) control systems is mostly associated with chattering, where the advantages of these methods over state‐space and Lyapunov's methods are quite obvious.
I. M. Boiko
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Optimal Gain Selection for the Arbitrary‐Order Homogeneous Differentiator
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Differentiation of noisy signals is a relevant and challenging task. Widespread approaches are the linear high‐gain observer acting as a differentiator and Levant's robust exact differentiator with a discontinuous right‐hand side. We consider the family of arbitrary‐order homogeneous differentiators, which includes these special cases.
Benjamin Calmbach +2 more
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International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper is concerned with the platooning control problem of connected automated vehicles (CAVs) under non‐uniform stochastic vehicle‐to‐vehicle (V2V) communication delays. Most existing relevant studies assume uniform or deterministic or slowly varying delays, or design platoon controllers based on worst‐case delay bounds, resulting in ...
Dengfeng Pan +3 more
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The resolution of the differential Lyapunov matrix equations using BDF method
, 2019 The resolution of the differential Lyapunov matrix equations \(\begin{equation}\label{1} \left\{ \begin{array}{ll} \dot{X}(t)=AX(t)+X(t)A^T+B,& \hbox{} \\ X(t_{0})=X_{0}, & t\in[t_{0},T_{f}], \end{array} \right. \end{equation}\) où \(A\in\mathbb{R}^{n\times n}, B\in\mathbb{R}^{n\times n},\) using backward differentiation formula method Author :
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International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Data‐based learning of system dynamics allows model‐based control approaches to be applied to systems with partially unknown dynamics. Gaussian process regression is a preferred approach that outputs not only the learned system model but also the variance of the model, which can be seen as a measure of uncertainty.
Daniel Landgraf +2 more
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The resolution of the differential Lyapunov matrix equations using Rosenbrock method
, 2019 The resolution of the differential Lyapunov matrix equations \(\begin{equation}\label{1} \left\{ \begin{array}{ll} \dot{X}(t)=AX(t)+X(t)A^T+B,& \hbox{} \\ X(t_{0})=X_{0}, & t\in[t_{0},T_{f}], \end{array} \right. \end{equation}\) où \(A\in\mathbb{R}^{n\times n}, B\in\mathbb{R}^{n\times n},\) using Rosenbrock method Author : LAKHLIFA SADEK.
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International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This work proposes a new framework for stabilizing uncertain linear systems and for determining robust periodic invariant sets and their associated control laws for constrained uncertain linear systems. Necessary and sufficient conditions for stabilizability by periodic controllers are stated and proven using finite step Lyapunov functions for
Yehia Abdelsalam +2 more
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