Results 101 to 110 of about 8,616 (247)
On Nonclassical Impulsive Ordinary Differential Equations with Nonlocal Conditions
International Journal of Analysis and Applications, 2019 Results on mild solutions of nonclassical differential equations with impulsive and nonlocal conditions are extended to a case when the nonlocal conditions are necessarily non Lipschitz and non compact.
S. A. Bishop +2 more
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Generalized Stochastic Burgers' Equation with Non-Lipschitz Diffusion Coefficient
Communications on Stochastic Analysis, 2019 Summary: We study the existence of weak solutions to the one-dimensional generalized stochastic Burgers' equation with polynomial nonlinearity perturbed by space-time white noise with Dirichlet boundary conditions and \(\alpha\)-Hölder continuous coefficient in noise term, where \(\alpha\in[1/2,1)\).
Kumar, Vivek, Giri, Ankik Kumar
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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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On the strong invariance property for non-Lipschitz dynamics
Communications on Pure & Applied Analysis, 2006 We provide a new sufficient condition for strong invariance for differential inclusions, under very general conditions on the dynamics, in terms of a Hamiltonian inequality. In lieu of the usual Lipschitzness assumption on the multifunction, we assume a feedback realization condition that can in particular be satisfied for measurable dynamics that are ...
Krastanov, Mikhail +2 more
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International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In this paper, we consider the optimal control problem for an unknown continuous‐time nonlinear system, and present a framework that integrates model‐based and model‐free methods to solve it. Each approach offers distinct advantages: model‐based techniques provide offline synthesis and data efficiency, while model‐free procedures excel at ...
Surabhi Athalye +2 more
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Safe Stabilization Using Non‐Smooth Control Lyapunov Barrier Function
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper addresses the challenge of safe stabilization, ensuring the system state reaches the origin while avoiding unsafe state regions. Existing approaches that rely on smooth Lyapunov barrier functions often fail to guarantee a feasible controller. To overcome this limitation, we introduce the non‐smooth control Lyapunov barrier function (
Jianglin Lan +3 more
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Initial State Privacy of Nonlinear Systems on Riemannian Manifolds
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In this paper, we investigate initial state privacy protection for discrete‐time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy challenges, we refine the concept of differential privacy through the introduction of an initial state adjacency set based on Riemannian distances.
Le Liu, Yu Kawano, Antai Xie, Ming Cao
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Vertical Deformation Mapping: Steering Optimiser Toward Flat Minima
CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT Standard deep learning optimisation is typically conducted on shape‐fixed loss surfaces. However, shape‐fixed loss surfaces may impede optimisers from reaching flat regions closely associated with strong generalisation. In this work, we propose a new paradigm named deformation mapping to deform the loss surface during optimisation.
Liangming Chen +4 more
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Journal of Applied Science and EngineeringAn important research gap in the field of switched systems is the design of fault tolerant control for Lipschitz non-linear delayed switched systems using a model predictive method.
Weiwei Tong, Shaohui Wang
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The Yamabe equation in a non-local setting
Advances in Nonlinear Analysis, 2013 Aim of this paper is to study the following elliptic equation driven by a general non-local integrodifferential operator such that in , in , where , is an open bounded set of ℝn, , with Lipschitz boundary, λ is a positive real parameter, is a ...
Servadei Raffaella
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