Displaying similar documents to “Arbitrary exponential decay of energy for a class of bilinear control problems.”

J-energy preserving well-posed linear systems

Olof Staffans (2001)

International Journal of Applied Mathematics and Computer Science

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The following is a short survey of the notion of a well-posed linear system. We start by describing the most basic concepts, proceed to discuss dissipative and conservative systems, and finally introduce J-energy-preserving systems, i.e., systems that preserve energy with respect to some generalized inner products (possibly semi-definite or indefinite) in the input, state and output spaces. The class of well-posed linear systems contains most linear time-independent distributed parameter...

Admissible disturbance sets for discrete perturbed systems

Jamal Bouyaghroumni, Abdelhaq El Jai, Mostafa Rachik (2001)

International Journal of Applied Mathematics and Computer Science

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We consider a discrete disturbed system given by the difference bilinear equation where are disturbances which excite the system in a linear and a bilinear form. We assume that the system is augmented with the output function. Let be a tolerance index on the output. The disturbance is said to be -admissible if, where is the output signal associated with the case of an uninfected system. The set of all -admissible disturbances is the admissible set. The characterization of is investigated...