Two conservative approaches are proposed to a semidefinite programming problem nonlinearly dependent on uncertain parameters. These approaches are applicable to general nonlinear parameter dependence not necessarily polynomial or rational. They are based on a mild assumption that the parameter dependence is expressed as the difference of two convex functions. The first approach uses constant bo...

In this paper, we investigate the problem of robust dynamic parameter-dependent output feedback (RDP-DOF) stabilization underH∞ performance index for a class of linear time invariant parameter-dependent (LTIPD) systems with multi-time delays in the state vector and in the presence of normbounded non-linear uncertainties. Using Hamiltonian–Jacobi–Isaac (HJI) method and the idea of polynomial par...

We present a protocol which achieves Byzantine Agreement (BA) if less than half of the processors are faulty and which does not rely on unproved computational assumptions such as the unforgeability of digital signatures. This is the first protocol which achieves this level of security. Our protocol needs reliable broadcast and secret channels in a precomputation phase. For a security parameter ...

This paper deals with the problem of guaranteed cost analysis and control of a class of nonlinear discrete-time systems with uncertain parameters. We use polynomial Lyapunov functions to derive stability conditions with a guaranteed bound on the 2-norm of the performance output in terms of linear matrix inequalities (LMIs). We then extend this approach to control design by considering parameter...

in this research, the production of plum pastille-like with starch and gelatin was studied. thirteen formulation of plum pastille-like were prepared according to a second-order composite rotatable design (with five central points). response surface methodology (rsm) was used to optimize product formulation with: gelatin concentration ranging from 3.85 to 6.925 % (w/w), and starch concentration ...

in this manuscript, we study the inverse problem for non self-adjoint sturm--liouville operator $-d^2+q$ with eigenparameter dependent boundary and discontinuity conditions inside a finite closed interval. by defining  a new hilbert space and  using its spectral data of a kind, it is shown that the potential function can be uniquely determined by part of a set of values of eigenfunctions at som...

In this paper we examine the implications of the statistical large sample theory for the computational complexity of Bayesian and quasi-Bayesian estimation carried out using Metropolis random walks. Our analysis is motivated by the Laplace-Bernstein-Von Mises central limit theorem, which states that in large samples the posterior or quasi-posterior approaches a normal density. Using the conditi...

in isobaric models for inertial confinement fusion it is assumed that the target configurationat stagnation time (maximum compression) consists of two regions, hot spark and cold fuel, respectively.here the conditions of spark formation and ignition in hydrogen equimolar isotopes in central sparkignition are investigated and permissible values of hs and ts are evaluated numerically. by introduc...

This chapter gives an expository account of some unexpected connections which have arisen over the last few years between Macdonald polynomials, invariants of torus knots, and lattice path combinatorics. The study of polynomial knot invariants is a well-known branch of topology which originated in the 1920’s with the one-parameter Alexander polynomial [Ale28]. In the early 1980’s Jones [Jon85] ...