Singular systems have been studied extensively during the last two decades due Abstract to their many practical applications. Such systems possess numerous properties not shared by the well-known state variable systems. This paper considers the linear tracking problem for the continuous-time singular systems. The Hamilton-Jacobi theory is used in order to compute the optimal control and associa...

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In this paper we consider the problem of minimizing the C1 norm of a closed-loop transfer function while keeping its Hz norm under a specified level. It wiU be shown that the optimal closed-loop impulse response has finite support, and thus a non-rational Laplace transform. To solve this difficulty we propose & method for synthesizing rational controllers with performance arbitrarily close to o...

This paper provides an overview of the constraint techniques for solving non-linear systems of equations over the real numbers. It introduces the main concepts behind the different pruning techniques and searching strategies implemented in the most famous constraint solvers over continuous domains. Local consistencies are a key issue in finite domains where arc-consistency is very popular. Howe...

a generalization of the known results in fusion frames and $g$-frames theory to continuous fusion frames which defined by m. h. faroughi and r. ahmadi, is presented in this study. continuous resolution of the identity (cri) is introduced, a new family of cri is constructed, and a number of reconstruction formulas are obtained. also, new results are given on the duality of continuous fusion fram...