We propose a new stability constraint for contractive receding horizon control (RHC), which was inspired by a non-monotone line search rule for optimization algorithms. Previously proposed stability constraints for contractive RHC can be seen as special cases of our new constraint. The new stability constraint guarantees asymptotic stability, but it does not ensure the monotone decrease of the ...

the paper is concerned with a methodology of optimal design of shells of minimum weight with strength, stability and strain constraints. stress and strain state of the shell is determined by galerkin method in the mixed finite element formulation within the geometrically nonlinear theory. the analysis of the effectiveness of different optimization algorithms to solve the set problem is given. t...

The voltage instability of power system often occurs when the active power on one or more weak branches exceeds its transfer capability. This paper presents a preventive control model for voltage stability using the active power transfer capabilities of weak branches as static voltage stability margin constraints. A local line-based voltage stability index is used to determine the critical cont...

Issues of feasibility and stability are considered for a nite horizon formulation of receding horizon control for linear systems under mixed linear state and control constraints. We prove that given any compact set of initial conditions that is feasible for the innnite horizon problem, there exists a nite horizon length above which a receding horizon policy will provide both feasibility and sta...

A review of baryon and lepton conservation in supersymmetric grand unified theories is given. Proton stability is discussed in the minimal SU(5) supergravity grand unification and in several non-minimal extensions such as the SU(3), SO(10) and some string based models. Effects of dark matter on proton stability are also discussed and it is shown that the combined constraints of dark matter and ...

A method for the minimax design of quadrantally symmetric 2-D IIR filters with guaranteed stability is proposed. The design problem is solved by formulating an objective function in the semidefinite programming framework using a linear approximation for the transfer function. The issue of filter stability is addressed by converting the stability constraints into linear matrix inequalities based...

Batch processes are of great importance in process industry. However, the control algorithm design is difficult for those with constraints. This is because stability and recursive feasibility along directions of time and batch should be guaranteed simultaneously. In this paper, a stable model predictive control strategy with zero terminal state constraints is proposed. Stability and recursive f...

This paper reviews the optimization available transmission capability (ATC) of power systems using a device of FACTS named SSSC equipped with energy storage devices. So that, emplacement and improvement of parameters of SSSC will be illustrated. Thus, voltage magnitude constraints of network buses, line transient stability constraints and voltage breakdown constraints are considered. To help th...

We investigate the mechanical stability of a segment of DNA wrapped around a histone in the nucleosome configuration. The assumption underlying this investigation is that the proper model for this packaging arrangement is that of an elastic rod that is free to twist and that writhes subject to mechanical constraints. We find that the number of constraints required to stabilize the nuclesome con...

We describe a general framework for avoiding spurious eigenvalues — unphysical unstable eigenvalues that often occur in hydrodynamic stability problems. In two example problems, we show that when system stability is analyzed numerically using descriptor notation, spurious eigenvalues are eliminated. Descriptor notation is a generalized eigenvalue formulation for differential-algebraic equations...