We present efficiently verifiable sufficient conditions for the validity of specific NPhard semi-infinite systems of linear matrix inequalities (LMIs) arising from LMIs with uncertain data and demonstrate that these conditions are “tight” up to an absolute constant factor. In particular, we prove that given an n × n interval matrix Uρ = {A | |Aij − Aij | ≤ ρCij}, one can build a computable lowe...

The modern focused ion beam (FIB) system nanofabrication. It uses a liquid metal ion source (LMIS) at the top of its column to produce ions. Gallium is usually point, high mass, low volatility, and because it is easily distinguished from other elements. From the LMIS the ions are field evaporated and focused into a narrow beam by an electrostatic lens, then passed through a number of apertures ...

Convex conditions, expressed as linear matrix inequalities (LMIs), for stability analysis and robust design of uncertain discrete-time systems with time-varying delay are presented in this paper. Delaydependent and delay-independent convex conditions are given. This paper is particularly devoted to the synthesis case where convex conditions are proposed to consider maximum allowed delay interva...

This paper develops a hybrid/gain scheduled controller for moving the state of a diesel engine through a driving profile represented as a sequence of operating points in the seven-dimensional state space of a mean value breathing nonlinear engine state model. The calculations for the control design are based on a third-order (reduced) model of the diesel engine, on whose state space the operati...

In a recent paper, the authors showed how to compute performance bounds for infinite-horizon stochastic control problems with linear system dynamics and arbitrary constraints, objective, and noise distribution. In this paper, we extend these results to the finite-horizon case, with asymmetric costs and constraint sets. In addition, we derive our bounds using a new method, where we relax the Bel...

this paper is concerned with the problem of synchronization for complex dynamic networks with state and coupling time-delays. therefore, larger class and more complicated complex dynamic networks can be considered for the synchronization problem. based on the lyapunov-krasovskii functional, a delay-independent criterion is obtained and formulated in the form of linear matrix inequalities (lmis)...

Michael Dickey covered a number of interesting uses liquid metals in his article “Liquid at room temperature” (Physics Today, April 2021, page 30), but he left out one that has had great practical importance: the liquid-metal ion source (LMIS). Developed 1970s,11. V. E. Krohn, G. R. Ringo, Appl. Phys. Lett. 27, 479 (1975). https://doi.org/10.1063/1.88540 LMIS revolutionized focused-ion-beam (FI...

This article addresses sampled-data control of 2-D Kuramoto–Sivashinsky equation over a rectangular domain $\Omega$ . We suggest to divide the into notation="LaTeX">$N$ subdomains, where sensors provide spati...