Results 11 to 20 of about 96 (50)
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
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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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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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
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
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
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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
Chaos control and Hopf bifurcation analysis of the Genesio system with distributed delays feedback
Advances in Differential Equations, 2012 In this paper, the Genesio system with distributed time delay feedback is investigated. Firstly, the stability of the equilibria of the system is investigated by analyzing the characteristic equation, and then the existence of Hopf bifurcations is ...
J. Guan, Fangyue Chen, Guixiang Wang
semanticscholar +2 more sources
Tracking control of a flexible beam by nonlinear boundary feedback
International Journal of Stochastic Analysis, Volume 8, Issue 1, Page 47-58, 1995., 1994 This paper is concerned with tracking control of a dynamic model consisting of a flexible beam rotated by a motor in a horizontal plane at the one end and a tip body rigidly attached at the free end. The well‐posedness of the closed loop systems considering the dissipative nonlinear boundary feedback is discussed and the asymptotic stability about ...
Bao-Zhu Guo, Qian Song
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Exponential input-to-state stability of composite stochastic systems
Advances in Differential Equations, 2013 Sufficient conditions for the exponential input-to-state stability in probability in r th mean and for the almost sure exponential input-to-state stability in probability of a composite stochastic system are established.
Fakhreddin Abedi +2 more
semanticscholar +2 more sources