Controllability of vibrations of a system of objects with distributed and lumped parameters
01 Jun 2006-Computational Mathematics and Mathematical Physics (Nauka/Interperiodica)-Vol. 46, Iss: 6, pp 955-970
TL;DR: In this article, the problem of vibration damping in a system described by the set of a wave equation and a second-order ordinary differential equation is considered, and the state functions of the system are related through the boundary conditions for the wave equation.
Abstract: The problem of vibration damping in a system described by the set of a wave equation and a second-order ordinary differential equation is considered. The state functions of the system are related through the boundary conditions for the wave equation.
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TL;DR: In this paper, boundary control problems for the vibrations of a system with distributed and lumped parameters are solved by boundary value problems with boundary conditions of various types, and a lumped-parameter object is described by a second-order ordinary differential equation.
Abstract: Boundary control problems for the vibrations of a system with distributed and lumped parameters are solved The vibrations of a distributed-parameter object are described by boundary value problems with boundary conditions of various types A lumped-parameter object is described by a second-order ordinary differential equation
5 citations
Cites background from "Controllability of vibrations of a ..."
...This paper is a continuation of [4, 5 ], where we solved one-end boundary control problems for the vibrations of a similar system with distributed and lumped parameters....
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TL;DR: The problem of damping vibration of a net consisting of m distributed parameter objects is solved because a lumped parameter controlled object affects the distributed parameterObjects through boundary conditions.
Abstract: The problem of damping vibration of a net consisting of m distributed parameter objects is solved. A lumped parameter controlled object affects the distributed parameter objects through boundary conditions.
3 citations
TL;DR: In this article, the state observation problems for the vibrations in a distributed and a lumped parameter system are solved by boundary value problems with Dirichlet boundary conditions, while the lumped param object is described by a second-order ordinary differential equation.
Abstract: State observation problems for the vibrations in a distributed and lumped parameter system are solved. The vibrations of the distributed parameter object are described by boundary value problems with Dirichlet boundary conditions, while the lumped parameter object is described by a secondorder ordinary differential equation.
1 citations
Cites background from "Controllability of vibrations of a ..."
...The theorem was proved in [ 8 ] for u(0, t) = ν(t)....
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01 Jan 2006
42 citations