Sentence examples for matrix analysis techniques from inspiring English sources

Based on Lyapunov functional and the matrix analysis techniques, several sufficient conditions are given to ensure the asymptotical stability in the mean square of the addressed control systems.

By employing a combination of the Lyapunov functionals and the matrix analysis techniques, sufficient conditions are established to ensure the existence of the desired estimators and the explicit characterization of such estimators are then given via solving a linear matrix inequality.

A sufficient condition of synchronization is derived based on the Lyapunov-Krasovskii functional method and matrix analysis technique.

Therefore, the GIS and remote sensing based change detection matrix analysis technique could provide useful baseline information to understand the spatiotemporal patterns of land use transitions caused by the major driving forces thereby sustainable land management planning is possible.

Strengths, weaknesses, opportunities and threats (SWOT) and quantitative strategic planning matrix (QSPM) analysis techniques were conducted to identify the required management strategies.

By means of the properties of Brouwer degree and the matrix inequality analysis technique, the proof of the existence and uniqueness of equilibrium point is given.

By using this transfer function matrix, an analysis technique based on the relative gain array is employed to determine the interaction between the variables and to help in the choice of proper pairing between controlled and manipulated variables.

The proposed method obtained separated ruffling regions from segmentation steps and then adopted gray level histograms (GLH) and grey-level co-occurrence matrix (GLC M texture analysis techniques.

The first step is to analyze the existing access control matrix based on semantic analysis techniques and usage statistics.

With the help of linear matrix inequalities and stochastic analysis techniques, the criteria concerning stochastic finite-time boundedness and stochastic H∞ finite-time boundedness are initially established for the nonlinear stochastic model.

Based on the Lyapunov-Krasovskii functional method, a simple sufficient condition of synchronization is derived by using matrix analysis and matrix inequality technique.