This paper presents a hybrid neural net adaptive control method for damaged aircraft. The hybrid method utilizes an adaptive scheme that adjusts a dynamic inversion control model to account for damaged plant dynamics. The model inversion adaptive scheme is based on two approaches: 1) an indirect adaptive law based on the Lyapunov theory, and 2) a recursive least squares method for parameter est...

Abstract: The paper presents a method of determining the Lyapunov quadratic functional for linear time-invariant system with knon-commensurate neutral type time delays. The Lyapunov functional is constructed for its given time derivative, which is calculated on the trajectory of the system with k-non-commensurate neutral type time delays. The presented method gives analytical formulas for the c...

-This study addresses a fuzzy Lyapunov method for the stability analysis of time-delay fuzzy systems subject to external disturbances. The Takagi-Sugeno (T-S) fuzzy model and parallel distributed compensation (PDC) scheme are first employed to design a nonlinear fuzzy controller in order to stabilize the time-delay fuzzy systems. According to the controlled system, the H infinity criterion is d...

This paper develops a novel method to deal with the stability problem of sampled-data systems. The multiple Lyapunov function method used in switched systems is extended to sampled-data systems and a multiple Lyapunov functional method is developed for nonlinear sampled-data systems. An application is presented where two different Lyapunov functionals are constructed in order to determine the s...

This paper proposes a fault detection method for hysteretic base-isolation systems. One of the key contr butions of this work is a Lyapunov-based restoring force observer that leads to the design of a robust fault detection scheme. The different fault types considered are stiffness and damping variations in the system. The proposed fault estimation method provides a direct estimate of the size ...

The fuzzy Lyapunov method is investigated for use with a class of interconnected fuzzy systems. The interconnected fuzzy systems consist of J interconnected fuzzy subsystems, and the stability analysis is based on Lyapunov functions. Based on traditional Lyapunov stability theory, we further propose a fuzzy Lyapunov method for the stability analysis of interconnected fuzzy systems. The fuzzy Ly...

The article analyzes a linear mechanical system with large parameter at the vector of velocity forces and distributed delay in positional forces. With aid decomposition method, conditions are obtained under which problem stability analysis original second-order differential equations can be reduced to studying two auxiliary first-order subsystems. It should noted that one subsystems does not co...