Results 11 to 20 of about 496 (57)
Efficient criteria for the stabilization of planar linear systems by hybrid feedback controls
Abstract and Applied Analysis, Volume 2004, Issue 6, Page 487-499, 2004., 2004 We suggest some criteria for the stabilization of planar linear systems via linear hybrid feedback controls. The results are formulated in terms of the input matrices. For instance, this enables us to work out an algorithm which is directly suitable for a computer realization. At the same time, this algorithm helps to check easily if a given linear 2 ×
Elena Litsyn +3 more
wiley +1 more source
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
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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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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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Study of exponential stability of coupled wave systems via distributed stabilizer
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 8, Page 479-491, 2001., 2001 Stabilization of the system of wave equations coupled in parallel with coupling distributed springs and viscous dampers are under investigation due to different boundary conditions and wave propagation speeds. Numerical computations are attempted to confirm the theoretical results.
Mahmoud Najafi
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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
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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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Nonautonomous Dynamical Systems, 2017 The asymptotic stability of one-dimensional linear Bresse systems under infinite memories was obtained by Guesmia and Kafini [10] (three infinite memories), Guesmia and Kirane [11] (two infinite memories), Guesmia [9] (one infinite memory acting on the ...
Guesmia Aissa
doaj +1 more source
Feedback boundary stabilization of wave equations with interior delay
, 2010 In this paper we consider a boundary stabilization problem for the wave equation with interior delay. We prove an exponential stability result under some Lions geometric condition.
Ammari, K., Nicaise, S., Pignotti, C.
core +1 more source
Delayed Feedback Control near Hopf Bifurcation
, 2007 The stability of functional differential equations under delayed feedback is investigated near a Hopf bifurcation. Necessary and sufficient conditions are derived for the stability of the equilibrium solution using averaging theory.
Atay, F.M. +2 more
core +4 more sources