Biologically inspired robotic arm control using an artificial neural oscillator.
Block bialternate sum with applications to computation of stability bounds
Block decoupling invariants: Geometric and transfer matrix characterizations
Block-based physical modeling with applications in musical acoustics
Block-based physical modeling is a methodology for modeling physical systems with different subsystems. Each subsystem may be modeled according to a different paradigm. Connecting systems of diverse nature in the discrete-time domain requires a unified interconnection strategy. Such a strategy is provided by the well-known wave digital principle, which had been introduced initially for the design of digital filters. It serves as a starting point for the more general idea of blockbased physical modeling,...
Boolean Biology: Introducing Boolean Networks and Finite Dynamical Systems Models to Biology and Mathematics Courses
Since the release of the Bio 2010 report in 2003, significant emphasis has been placed on initiating changes in the way undergraduate biology and mathematics courses are taught and on creating new educational materials to facilitate those changes. Quantitative approaches, including mathematical models, are now considered critical for the education of the next generation of biologists. In response, mathematics departments across the country have initiated changes to their introductory calculus sequence,...
Boundary control of a symmetric hyperbolic system with nonlinear boundary conditions
Boundary control of the Maxwell dynamical system : lack of controllability by topological reasons
Boundary control of the Maxwell dynamical system: lack of controllability by topological reasons
The paper deals with a boundary control problem for the Maxwell dynamical system in a bounbed domain Ω ⊂ R3. Let ΩT ⊂ Ω be the subdomain filled by waves at the moment T, T* the moment at which the waves fill the whole of Ω. The following effect occurs: for small enough T the system is approximately controllable in ΩT whereas for larger T < T* a lack of controllability is possible. The subspace of unreachable states is of finite dimension determined by topological characteristics of ΩT.
Boundary control problem with an infinite number of variables.
Boundary control theory for hyperbolic and parabolic partial differential equations with constant coefficients
Boundary controllability for the nonlinear Korteweg-de Vries equation on any critical domain
Boundary controllability in problems of transmission for a class of second order hyperbolic systems
Boundary controllability in problems of transmission for a class of second order hyperbolic systems
We consider transmission problems for general second order linear hyperbolic systems having piecewise constant coefficients in a bounded, open connected set with smooth boundary and controlled through the Dirichlet boundary condition. It is proved that such a system is exactly controllable in an appropriate function space provided the interfaces where the coefficients have a jump discontinuity are all star-shaped with respect to one and the same point and the coefficients satisfy a certain...
Boundary controllability of a chain of serially connected Euler-Bernoulli beams with interior masses.
Boundary controllability of hyperbolic equations.
Boundary controllability of nonlinear fractional integrodifferential systems.
Boundary controllability of the finite-difference space semi-discretizations of the beam equation
We propose a finite difference semi-discrete scheme for the approximation of the boundary exact controllability problem of the 1-D beam equation modelling the transversal vibrations of a beam with fixed ends. First of all we show that, due to the high frequency spurious oscillations, the uniform (with respect to the mesh-size) controllability property of the semi-discrete model fails in the natural functional setting. We then prove that there are two ways of restoring the uniform controllability...
Boundary controllability of the finite-difference space semi-discretizations of the beam equation
We propose a finite difference semi-discrete scheme for the approximation of the boundary exact controllability problem of the 1-D beam equation modelling the transversal vibrations of a beam with fixed ends. First of all we show that, due to the high frequency spurious oscillations, the uniform (with respect to the mesh-size) controllability property of the semi-discrete model fails in the natural functional setting. We then prove that there are two ways of restoring the uniform controllability...
Boundary exact controllability for a porous elastic Timoshenko system
In this paper, we consider a one-dimensional system governed by two partial differential equations. Such a system models phenomena in engineering, such as vibrations in beams or deformation of elastic bodies with porosity. By using the HUM method, we prove that the system is boundary exactly controllable in the usual energy space. We will also determine the minimum time allowed by the method for the controllability to occur.
Boundary feedback stabilization of a hybrid PDE-ODE system.