The nonlinear air vehicles can be linearized about desired equilibrium points and a linear controller can be designed which stabilizes the aircraft about that equilibrium point. A mission planning is considered as taking the nonlinear system through different equilibrium points. Thus there will be different linear systems for each equilibrium point. To design a controller that drives the system...

* Correspondence: [email protected] Guizhou Key Laboratory of Economic System Simulation, Guizhou College of Finance and Economics, Guiyang Guizhou 550004, P.R.China Full list of author information is available at the end of the article Abstract In this article, fuzzy bi-directional associative memory neural networks with distributed delays and impulses are considered. Some sufficient conditi...

We consider a Hotelling game where a finite number of retailers choose a location, given that their potential consumers are distributed on a network. Retailers do not compete on price but only on location, therefore each consumer shops at the closest store. We show that when the number of retailers is large enough, the game admits a pure Nash equilibrium and we construct it. We then compare the...

This paper discusses the performance of critical trajectory method (CTrj) for power system transient stability analysis under various loading settings and heavy fault condition. The method obtains Controlling Unstable Equilibrium Point (CUEP) which is essential for estimation of power system stability margins. The CUEP is computed by applying the CTrjto the boundary controlling unstable equilib...

This paper provides a systematic framework to determine switching control strategies to stabilize the system after a fault if the stabilization is possible. A method to compute the stability region of a stable equilibrium point with the purpose of power system stability analysis is proposed and the validity of discrete controls in transient stability design is studied. First, a Hamilton–Jacobi–...

In this paper, a new concept called nonlinear measure is introduced to quantify stability of nonlinear systems in the way similar to the matrix measure for stability of linear systems. Based on the new concept, a novel approach for stability analysis of neural networks is developed. With this approach, a series of new sufficient conditions for global and local exponential stability of Hopfield ...

In this paper we introduce a new modeling paradigm for shortest path games representation with Petri nets. Whereas previous works have restricted attention to tracking the net using Bellman’s equation as a utility function, this work uses a Lyapunov-like function. In this sense, we change the traditional cost function by a trajectory-tracking function which is also an optimal cost-to-target fun...

We study a cubic predator-prey system with stage structure for the prey. This system is a generalization of the two-species Lotka-Volterra predator-prey model. Firstly, we consider the asymptotical stability of equilibrium points to the system of ordinary differential equations type. Then, the global existence of solutions and the stability of equilibrium points to the system of weakly coupled ...

a proper understanding of reservoir fluid phase behavior is the first crucial step in the development and production of an oil/gas field. this paper addresses the challenges and errors associated with the fluid sampling that may arise before, during and after the sampling operation. for this aim, dst and pvt data of exploration and production wells of a supergiant offshore gas condensate reserv...