We consider robust adaptive control designs for relative degree one, minimum phase linear systems of known high frequency gain. The designs are based on the dead-zone and projection modifications, and we compare their performance w.r.t. a worst case transient cost functional with a penalty on the L∞ norm of the output, control and control derivative. We establish two qualitative results. If a b...

suppose $pi:mathcal{a}rightarrow mathcal{b}$ is a surjective unital $ast$-homomorphism between c*-algebras $mathcal{a}$ and $mathcal{b}$, and $0leq aleq1$ with $ain  mathcal{a}$. we give a sufficient condition that ensures there is a proection $pin mathcal{a}$ such that $pi left( pright) =pi left( aright) $. an easy consequence is a result of [l. g. brown and g. k. pedersen, c*-algebras of real...

We consider standard robust adaptive control designs based on the dead-zone and projection modifications, and compare their performance w.r.t. a worst case transient cost functional penalizing the L norm of the output, control and control derivative. If a bound on the L norm of the disturbance is known, it is shown that the dead-zone controller outperforms the projection controller if the a pri...

A methodology for the optimal design of projection patterns for stereometric structured light systems is presented. It draws on the similarity as well as the diierence between the design of projection patterns and the design of optimal signals for digital communication. Seemingly unrelated structured light methods, such as the Gray code scheme and intensity ratio techniques, are uniied as speci...

where ρ is a defining function for Ω, = ∂̄∂̄∗ + ∂̄∗∂̄, u, f are (0, 1) forms, and denotes the interior product of forms. Under the stated hypotheses on Ω, this problem is uniquely solvable for every f ∈ L(Ω). The Neumann operator N , mapping f to the solution u, is continuous on L(Ω). The Bergman projection B is the orthogonal projection of L(Ω) onto the closed subspace of L holomorphic functions o...

In 2001 Buhler and Tompa [BT01] introduced their Projection algorithm for solving the motif discovery problem for motifs of fixed length l. The algorithm finds good candidates for local optimisation by projecting all l-mers present in the input onto a smaller subspace and analysing dense points in that subspace. We have developed Aggregation, a modified version of Projection that analyses dense...

The convergence of the bivariate spline solution to the solution of the second order elliptic PDE in non-divergence form in the maximum norm is presented in this paper. Mainly, the L∞ norm of the spline projection in the Sobolev space H 0 (Ω) ∩H 0 (Ω) is shown to be bounded, where Ω is a polygonal domain. With the boundedness of the projection, one can establish the error of the spline solution...

An Adaptive Projection Method for Unsteady, LowMach Number Combustion R. B. PEMBER , L. H. HOWELL , J. B. BELL , P. COLELLA , W. Y. CRUTCHFIELD , W. A. FIVELAND & J. P. JESSEE To cite this article: R. B. PEMBER , L. H. HOWELL , J. B. BELL , P. COLELLA , W. Y. CRUTCHFIELD , W. A. FIVELAND & J. P. JESSEE (1998) An Adaptive Projection Method for Unsteady, Low-Mach Number Combustion, COMBUSTION SCI...

A nonsingular performance comparison between two standard robust adaptive control designs based on the dead-zone and projection modifications is given. A worst case transient cost functional penalising the L∞ norm of the state, control and control derivative has been chosen as the criterion of comparison. If a bound on the L∞ norm of the disturbance is known, it is shown that the dead-zone cont...

The p-version of the finite element method is analyzed for quasilinear second order elhptic problems in mixed weak form Approximation properties of the Raviart-Thomas projection are demonstrated and L-error bounds for the three relevant variables in the mixed method are denved Résumé — Nous analysons la version-p de la méthode d'éléments finis mixtes pour des problèmes quasihnéaires elliptiques...