Stability analysis of two-dimensional discrete systems

Kara, Aslı Ayşen


Stability analysis of constraints in flexible multibody systems dynamics
İder, Sıtkı Kemal (Elsevier BV, 1990-1)
Automated algorithms for the dynamic analysis and simulation of constrained multibody systems assume that the constraint equations are linearly independent. During the motion, when the system is at a singular configuration, the constraint Jacobian matrix possesses less than full rank and hence it results in singularities. This occurs when the direction of a constraint coincides with the direction of the lost degree of freedom. In this paper the constraint equations for deformable bodies are modified for use...
Stability analysis of neural networks with piecewise constant argument
Karacaören, Meltem; Akhmet, Marat; Department of Mathematics (2017)
Last several decades, an immense attention has been paid to the construction and analysis of neural networks since it is related to the brain activity. One of the most important neural networks is Hopfield neural network. Since it is obtained from the direct modeling of neuron activity, the results of the research have effective consequences for the modern science. Dynamical analysis of Hopfield neural networks concerns to the method of qualitative theory of differential equations. In particular, it relates...
Stability analysis of semi-rigidly connected columns.
Feşel, Attila K; Department of Civil Engineering (1971)
Stability analysis of recurrent neural networks with piecewise constant argument of generalized type
Akhmet, Marat; Yılmaz, Elanur (2010-09-01)
In this paper, we apply the method of Lyapunov functions for differential equations with piecewise constant argument of generalized type to a model of recurrent neural networks (RNNs). The model involves both advanced and delayed arguments. Sufficient conditions are obtained for global exponential stability of the equilibrium point. Examples with numerical simulations are presented to illustrate the results.
Stability criteria for ordinary linear system.
EN-Nashif, Bassam Yusuf; Department of Mathematics (1966)
Citation Formats
A. A. Kara, “Stability analysis of two-dimensional discrete systems,” Middle East Technical University, 1990.