Results 91 to 100 of about 16,456 (286)
Predefined‐Time Dynamic Surface Control of Tank Horizontal Stabilization System With Disturbance
ABSTRACT Modern new tanks are difficult to achieve high precision control of the horizontal stabilization system due to electromechanical coupling and road surface disturbance during high‐speed combat. A predefined‐time dynamic surface controller (DSCPT) is proposed for the fast stabilization and strong disturbance problems of the tank horizontal ...
Zhicheng Fan+5 more
wiley +1 more source
The structure of the level surfaces of a Lyapunov function [PDF]
F. Wilson
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ABSTRACT A robust control method for the uncertain vertical electric stabilization system (VESS) with flexible nonlinearity is proposed, and the mismatched uncertainty is considered and compensated based on the backstepping idea. First, based on evaluating the coupling effects of the flexible nonlinearity, the analytical dynamics model of the VESS is ...
Peng Liu, Tan Lu, He Zhang
wiley +1 more source
Quadratic forms as Lyapunov functions in the study of stability of solutions to difference equations
A system of linear autonomous difference equations $x(n+1)=Ax(n)$ is considered, where $xin mathbb{R}^k$, $A$ is a real nonsingular $kimes k$ matrix.
Alexander O. Ignatyev, Oleksiy Ignatyev
doaj
We have established a new sufficient condition for the asymptotic stability of a delay-difference control system of Hopfield neural networks in terms of certain matrix inequalities (based on a discrete analog of the Lyapunov second method).
Kreangkri RATCHAGIT
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Robustness via Lyapunov functions
For nonautonomous linear equations x′=A(t)x, we give a complete characterization of nonuniform exponential dichotomies in terms of strict quadratic Lyapunov functions. Nonuniform exponential dichotomies include as a very special case uniform exponential dichotomies.
Luis Barreira, Claudia Valls
openaire +2 more sources
New Policies Exploiting Randomness of Lead Times in Inventory Systems
ABSTRACT Recent research provided proof‐of‐concept that the randomness of lead times in inventory systems can be exploited to achieve large—potentially unlimited—performance improvements, compared to the case of constant lead time. Specifically, the Generalized Base Stock (GBS) policy serves as such proof‐of‐concept—it can deliver unlimited ...
Alexander L. Stolyar+2 more
wiley +1 more source
Reference Tracking and Disturbance Rejection for Nonlinear Systems Using LPV Control
ABSTRACT The Linear Parameter‐Varying (LPV) framework has been introduced with the intention to provide stability and performance guarantees for analysis and controller synthesis for Nonlinear (NL) systems through convex methods. By extending results of the Linear Time‐Invariant framework, mainly based on quadratic stability and performance using ...
Patrick J. W. Koelewijn+3 more
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Quasi-solutions, vector Lyapunov functions, and monotone method [PDF]
V. Lakshmikantham+2 more
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Delayed High Order Sliding Mode Control Using Implicit Lyapunov Function Approach
ABSTRACT This article presents a novel delayed high‐order sliding mode control strategy supported by dedicated mathematical tools. Building on the implicit Lyapunov–Razumikhin function method for establishing accelerated (hyperexponential) stability in time‐delay systems and the design of high‐order sliding mode controls for chain of integrators, we ...
Moussa Labbadi, Denis Efimov
wiley +1 more source