The phrase "approach and linear" is not correct and lacks clarity in written English.
It may be intended to describe a method or strategy that is both systematic and straightforward, but it needs more context to be effectively used.
Example: "The research utilized an approach and linear methodology to analyze the data."
Alternatives: "systematic and straightforward" or "methodical and direct".
The parameter-dependent Lyapunov function approach and linear matrix inequality (LMI) technique are applied to solve the filtering problem.
Based on a singular system approach and linear matrix inequality (LMI), a sufficient condition which guarantees the existence of linear switching surface and the stochastic stability of sliding mode dynamics is given.
By using Lyapunov function approach and linear matrix inequality techniques, a state feedback controller is designed to guarantee that the resulted closed-loop system is finite-time bounded and satisfies a given H∞ constraint condition.
Based on free-weighting matrix approach and linear matrix inequality theory, a new set of sufficient conditions that guaranteeing the robust stochastic stability is presented by choosing an appropriate Lyapunov Krasovskii functional candidate.
Further, based on Lyapunov functional approach and linear matrix inequality technique, sufficient conditions are derived for the existence of the desired state feedback controller ensuring the stochastic finite-time bounded with prescribed H∞ performance index.
The stabilization performance of the designed PSSs (by the proposed approach and linear power system model) on the LFO modes have been verified in two multi-machine power system standard models (IEEE 9-bus and 14-bus).
This knowledge-based integration can be converted into a mathematical model that can be analysed through constraint-based approaches and linear programming methods with one or more objective functions (e.g. consumption/production of a metabolite or, more frequently growth rate upon medium change).
The experimental investigation includes shake table experiments using a flexible laminar container, whereas the analytical component involves 1-D dynamic ground response analysis using linear approach and equivalent linear approach.
The system models are designed for an all-coverage approach and comprise linear and non-linear approximation functions representing the interrelations and dependencies among the measurement variables.
Based on the linear matrix inequality approach and the linear convex optimization, a sufficient condition of FD reduced-order filter for MJLS with deficient transition information is obtained, such that the augmented error system is stochastically stable.
With difference-in-difference approach, logistic and linear regression analyses were applied to identify differences in glycemic control by CVD during the follow up period, after controlling for baseline demographics, clinical information, and concurrent anti-hyperglycemic medication use.
