In this paper, we have proposed a study on controllability and optimal harvestingof a prey predator model and mathematical non linear formation of the equation equilibriumpoint of Routh harvest stability analysis. The problem of determining the optimal harvestpolicy is solved by invoking Pontryagin0s maximum principle dynamic optimization of theharvest policy is studied by taking the combined h...

In this work, the authors investigate the stability conditions in a fractional-order financial system using the fractional Routh-Hurwitz criteria. According to the qualitative theory, the existence and uniqueness of solutions for a class of commensurate fractional-order financial systems are investigated. A necessary condition for this system to remain chaotic is obtained. It is found that chao...

In this paper we study the linear stability of the relative equilibria for homogeneous and quasihomogeneous potentials. Firstly, in the case the potential is a homogeneous function of degree −a, we find that any relative equilibrium of the n-body problem with a > 2 is spectrally unstable. We also find a similar condition in the quasihomogeneous case. Then we consider the case of three bodies an...

During the last years, the Internet Application (Remote Flexible Control and Instrumentation, Telecontrol...) has retained the attention of Control researchers for modeling and studying the congestion control of TCP/IP (Transfer Control Protocol/Internet Protocol) networks. The controllers proposed in the literature such as RED (Random Early Detection) or PID (Proportional Integrate Derivative)...

Abstract Routh reduction presents the minimum number of differential equations that uniquely describe state nonlinear mechanical systems where variables can be separated into essential ones and cyclic ones. This work extends reducibility for a relevant set controlled systems. A chain theorems is presented identifying conditions when reduced order rank applied determining Kalman controllability ...

In the mid-nineteenth century James C. Maxwell, and others, became interested in the stability of motion of dynamic systems. Maxwell’s interest in stability stemmed in part from his work with an automatic control system a speed governor he and his colleagues were using in laboratory measurements to establish the definition of the ohm. Maxwell was the first to publish a dynamic analysis of this ...