Results 91 to 100 of about 121,771 (265)
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper focuses on state estimation for a fairly general class of systems, involving nonlinear functions and disturbances in both the process dynamics and output equations. A nonlinear observer that satisfies a H∞$$ {\boldsymbol{H}}_{\boldsymbol{\infty}} $$ disturbance attenuation constraint in addition to providing asymptotic stability in ...
Hamidreza Movahedi +2 more
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Stability in distribution for uncertain delay differential equations based on new Lipschitz condition. [PDF]
J Ambient Intell Humaniz Comput, 2022 Gao Y, Jia L.
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Metric Spaces with Linear Extensions Preserving Lipschitz Condition
, 2005 We study a new bi-Lipschitz invariant \lambda(M) of a metric space M; its finiteness means that Lipschitz functions on an arbitrary subset of M can be linearly extended to functions on M whose Lipschitz constants are enlarged by a factor controlled by ...
Brudnyi, A., Brudnyi, Yu.
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PID‐Like Robust Control of Non‐Minimum Phase Robotic Manipulators
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper proposes an output‐feedback tracking controller for non‐minimum phase nonlinear systems with unknown uncertainties and external disturbances, where not all states are measurable, and the zero dynamics are unstable. The approach combines a backstepping‐based stabilizing state‐feedback law with a cascade extended high‐gain observer ...
Mohammad Al Saaideh +2 more
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A Lipschitz condition along a transversal foliation implies local uniqueness for ODEs
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We prove the following result: if a continuous vector field $F$ is Lipschitz when restricted to the hypersurfaces determined by a suitable foliation and a transversal condition is satisfied at the initial condition, then $F$ determines a locally unique ...
José Ángel Cid, F. Adrián Tojo
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Approximation of analytic functions satisfying a Lipschitz condition. [PDF]
Michigan Mathematical Journal, 1978 Let \(\lambda_\alpha\), \(0 0\) there exists a function \(f_\varepsilon\in \lambda_\alpha\) such that (i) the inner factors of \(f\) and \(f_\varepsilon\) coincide, (ii) \(\Vert f - f_\varepsilon\Vert < \varepsilon\), (iii) \(\vert f_\varepsilon(z)\vert = O(\operatorname{dist}^M(z,E))\) as \(\operatorname{dist}(z,E)\to 0\). The proof is fairly long and
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International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT A newly developed robust control strategy based on an adaptive neural network (ANN) estimator performed in concert with adaptive super‐twisting (ASTW) control is presented. The proposed adaptive robust control algorithm is applied to a class of perturbed nonlinear systems and features a significantly decreased control gain with respect to the ...
Mohammad Javad Mirzaei +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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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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Electronic Journal of Qualitative Theory of Differential Equations, 2016 This paper is concerned with well-posedness and stability of parabolic stochastic partial differential equations. Firstly, we obtain some sufficient conditions ensuring the existence and uniqueness of mild solutions, and some $\mathcal{H}$-stability ...
Chaoliang Luo, Shangjiang Guo
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