Results 11 to 20 of about 530 (65)
Dynamic boundary controls of a rotating body‐beam system with time‐varying angular velocity
Journal of Applied Mathematics, Volume 2004, Issue 2, Page 107-126, 2004., 2004 This paper deals with feedback stabilization of a flexible beam clamped at a rigid body and free at the other end. We assume that there is no damping and the rigid body rotates with a nonconstant angular velocity. To stabilize this system, we propose a feedback law which consists of a control torque applied on the rigid body and either a dynamic ...
Boumediène Chentouf
wiley +1 more source
A robust optimization approach for magnetic spacecraft attitude stabilization [PDF]
, 2016 Attitude stabilization of spacecraft using magnetorquers can be achieved by a proportional–derivative-like control algorithm. The gains of this algorithm are usually determined by using a trial-and-error approach within the large search space of the ...
Bruni, Renato, Celani, Fabio
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Mathematical Problems in Engineering, Volume 2003, Issue 1, Page 25-45, 2003., 2003 We extend the notion of dissipative dynamical systems to formalize the concept of the nonlinear analog of strict positive realness and strict bounded realness. In particular, using exponentially weighted system storage functions with appropriate exponentially weighted supply rates, we introduce the concept of exponential dissipativity.
VijaySekhar Chellaboina +1 more
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Almost Global Stochastic Stability [PDF]
, 2005 We develop a method to prove almost global stability of stochastic differential equations in the sense that almost every initial point (with respect to the Lebesgue measure) is asymptotically attracted to the origin with unit probability.
Arnold L., Ramon van Handel
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Nonsmooth optimal regulation and discontinuous stabilization
Abstract and Applied Analysis, Volume 2003, Issue 20, Page 1159-1195, 2003., 2003 For affine control systems, we study the relationship between an optimal regulation problem on the infinite horizon and stabilizability. We are interested in the case the value function of the optimal regulation problem is not smooth and feedback laws involved in stabilizability may be discontinuous.
A. Bacciotti, F. Ceragioli
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On the Benjamin-Bona-Mahony equation with a localized damping [PDF]
, 2016 We introduce several mechanisms to dissipate the energy in the Benjamin-Bona-Mahony (BBM) equation. We consider either a distributed (localized) feedback law, or a boundary feedback law.
Rosier, Lionel
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General decay in a Timoshenko-type system with thermoelasticity with second sound
Advances in Nonlinear Analysis, 2015 In this article, we consider a vibrating nonlinear Timoshenko system with thermoelasticity with second sound. We discuss the well-posedness and the regularity of solutions using the semi-group theory.
Ayadi Mohamed Ali +3 more
doaj +1 more source
Control and Stabilization of High-Order KdV Equation Posed on the Periodic Domain
Journal of Partial Differential Equations, 2018 In this paper, we study exact controllability and feedback stabilization for the distributed parameter control system described by high-order KdV equation posed on a periodic domain T with an internal control acting on an arbitrary small nonempty ...
Z. Meng
semanticscholar +1 more source
Coexistence for a kind of stochastic three-species competitive models
Open Mathematics, 2019 The coexistence of species sustains the ecological balance in nature. This paper focuses on sufficient conditions for the coexistence of a three-species stochastic competitive model, where the model has non-linear diffusion parts.
Huang Nantian +3 more
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Inertial manifolds and stabilization of nonlinear beam equations with Balakrishnan‐Taylor damping
Abstract and Applied Analysis, Volume 1, Issue 1, Page 83-102, 1996., 1996 In this paper we study a hinged, extensible, and elastic nonlinear beam equation with structural damping and Balakrishnan‐Taylor damping with the full exponent 2(n + β) + 1. This strongly nonlinear equation, initially proposed by Balakrishnan and Taylor in 1989, is a very general and useful model for large aerospace structures.
Yuncheng You
wiley +1 more source