Based on the combination of a mixed model transformation, decomposition technique of constant coefficients, utilization of a zero equation, and a new Lyapunov-Krasovskii functional, sufficient conditions for exponential stability are obtained and formulated in terms of LMIs for the systems.
For instance, by using a descriptor model transformation and decomposition technique, some delay-dependent stability criteria are obtained in [2].
The method combining an augmented Lyapunov-Krasovskii functional, a mixed model transformation, the decomposition technique of constant coefficients, and utilization of zero equations has been adopted to study the paper.
Based on a class of novel augmented Lyapunov-Krasovskii functionals, a model transformation, the decomposition technique of constant coefficients, the Leibniz-Newton formula, and utilization of a zero equation, new delay-range-dependent exponential stability criteria are derived in terms of the linear matrix inequality (LMI) for the equations considered.
In the next section, we present a step by step description of our main analytical model - the regression decomposition technique.
Initially, to reduce the complexity of Takagi Sugeno (T S) fuzzy modeling, the two time-scale decomposition technique is used to divide the original nonlinear attitude tracking error model of Mars entry vehicles into a slow subsystem describing the attitude kinematics and a fast subsystem describing the attitude dynamics.
To achieve signal tracking and H∞ disturbance attenuation performance, a two-dimensional model approach and singular-value decomposition technique of system output matrix are developed.
A different type of frequency-nonselective SOC model was introduced in [42] by Crespo and Jimenez to simulate WSSUS channels by applying a harmonic decomposition technique to compute the model parameters.
The proposed model is a nested optimization and a decomposition technique is then employed to relieve computational burdens.
By proposing a sojourn probability dependent method, the H∞ performance of the described unified model is investigated by using the sector decomposition technique.
