In this paper a new general method is developed by means of which one can ascertain whether a nonlinear autonomous system is asymptotically stable. The method is essentially an extension to nonlinear systems of a theorem developed earlier by the first author for linear autonomous systems. Necessary and sufficient conditions are specified, the satisfaction… (More)
Presents a new technique for least absolute value (LAV) linear parameter estimation. The technique can be applied to unconstrained as well as equality- and/or inequality-constrained problems. The estimation problem is stated first. The least squares (LS) solution of the estimation problem is then presented and compared to the LAV solution. The new LAV… (More)
Many techniques exist for estimation of synchronous machine parameters from tests. In these techniques, a good initial guess is essential for convergence of the parameters. This paper presents a new algorithm to estimate synchronous machine parameters from tests. The proposed algorithm is based on least absolute value (LAV) error approximations. It does not… (More)
This paper addresses stability analysis and stabilization for Takagi-Sugeno fuzzy systems via a new stability method previously developed and presented by the authors. The new stability method is here extended to fuzzy systems. In essence, the authors consider the stabilization of a fuzzy control system with parallel distributed compensation. This problem… (More)
In this paper an algorithm is developed which uses contraction mapping to determine the optimal solution of the least absolute value (LAV) static estimation problem. It is noted that the new algorithm is computationally simpler than other methods currently available for this purpose. Minimal computational effort is required to obtain the LAV estimates.
The minimum norm formulation within the framework of functional analysis optimization technique is used to maximize the total hydro energy of multichain reservoirs (general configuration) during the dry period of the year. The optimal control problem is formulated as a mathematical problem by constructing a cost function in which the total energy generated… (More)