Results 91 to 100 of about 2,732 (239)

Lipschitz constants and moduli of continuity for the Chebyshev projection [PDF]

open access: yes, 1982
It is shown how to construct Lipschitz constants and moduli of continuity for the Chebyshev projection of C [ 0 , 1 ] C[0,1] onto the finite-dimensional subspace spanned by a Chebyshev system.
Douglas S. Bridges
core   +1 more source

An Inverse Source Problem for Singular Parabolic Equations with Interior Degeneracy

open access: yesAbstract and Applied Analysis, 2018
The main purpose of this work is to study an inverse source problem for degenerate/singular parabolic equations with degeneracy and singularity occurring in the interior of the spatial domain.
Khalid Atifi   +3 more
doaj   +1 more source

Enhanced Control Strategies for Residual‐Vibration Suppression and Adaptive Tracking in Flexible Manipulator Under Unknown Bounded Disturbances

open access: yesInternational Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This paper proposes a hybrid control strategy for flexible‐link manipulators that combines offline trajectory planning with adaptive tracking to suppress residual elastic vibration (REV) under unknown bounded disturbances. A rigid–flexible coupling dynamics model is first established using the floating‐frame method and Lagrange's equations ...
Mingming Shi   +5 more
wiley   +1 more source

Existence theory for functional initial value problems of ordinary differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2004
In this paper the existence of a solution of general nonlinear functional differential equations is proved under mixed generalized Lipschitz and Carath\'eodory condition.
Bapurao Dhage
doaj   +1 more source

Approximate Reachability for Feedback Linearizable Systems

open access: yesOptimal Control Applications and Methods, EarlyView.
The backwards reachable set for a dynamical system is the set of states for which there exists a constraint admissible trajectory that reaches a given terminal set. Conventional grid‐based approaches for computing these sets are intractable for many applications.
Vincent Liu   +2 more
wiley   +1 more source

Rate of convergence of Szász-beta operators based on q-integers

open access: yesDemonstratio Mathematica, 2017
The purpose of this paper is to establish the rate of convergence in terms of the weighted modulus of continuity and Lipschitz type maximal function for the q-Szász-beta operators. We also study the rate of A-statistical convergence.
Gupta Pooja, Agrawal Purshottam Narain
doaj   +1 more source

Existence and uniqueness criteria for the higher-order Hilfer fractional boundary value problems at resonance

open access: yesAdvances in Difference Equations, 2020
This investigation is devoted to the study of a certain class of coupled systems of higher-order Hilfer fractional boundary value problems at resonance.
Yousef Gholami
doaj   +1 more source

Moduli of Continuity for Exponential Lipschitz Classes [PDF]

open access: yesTransactions of the American Mathematical Society, 1977
Let Ψ \Psi be a convex function, and ...
openaire   +1 more source

Suboptimal Model Predictive Control With a Computation Governor: Stability, Recursive Feasibility, and Applications to Alternating Direction Method of Multipliers

open access: yesOptimal Control Applications and Methods, EarlyView.
Computational governor is shown which simultaneously adjusts the reference and adjusts the constraints. ABSTRACT The paper considers a computational governor strategy to facilitate the implementation of Model Predictive Control (MPC) based on inexact optimization when the time available to compute the solution may be insufficient.
Steven van Leeuwen, Ilya Kolmanovsky
wiley   +1 more source

Frequency‐Domain Analysis of External Signal Propagation Through Sliding Mode Control Systems With Dynamic Actuators

open access: yesInternational 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
wiley   +1 more source

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