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Exponential Runge–Kutta methods for delay differential equations

Xu, Y.; Zhao, J.J.; Sui, Z.N. - In: Mathematics and Computers in Simulation (MATCOM) 80 (2010) 12, pp. 2350-2361

This paper deals with convergence and stability of exponential Runge–Kutta methods of collocation type for delay …

Persistent link: https://www.econbiz.de/10010870259

Global stability analysis for delayed virus infection model with general incidence rate and humoral immunity

Wang, Tianlei; Hu, Zhixing; Liao, Fucheng; Ma, Wanbiao - In: Mathematics and Computers in Simulation (MATCOM) 89 (2013) C, pp. 13-22

In this paper, we investigate the dynamical behavior of a virus infection model with general incidence rate and humoral immunity. By using suitable Lyapunov functional and the LaSalle's invariance principle, we establish the global stability of the three equilibria. The uninfected equilibrium E0...

Persistent link: https://www.econbiz.de/10011050707

Stability of Runge–Kutta methods for neutral delay-integro-differential-algebraic system

Xu, Y.; Zhao, J.J. - In: Mathematics and Computers in Simulation (MATCOM) 79 (2008) 3, pp. 571-583

Stability properties of Runge–Kutta methods for the linear neutral delay-integro-differential-algebraic system are … considered. It is proved that every A-stable natural Runge–Kutta method preserves the delay-independent stability of the exact …

Persistent link: https://www.econbiz.de/10010748916

Stationary oscillation for cellular neural networks with time delays and impulses

Zhang, Yinping - In: Mathematics and Computers in Simulation (MATCOM) 79 (2009) 10, pp. 3174-3178

This paper studies stationary oscillation for a time-varying recurrent cellular neural network with time delays and impulses. In a recent paper, the authors claim that they obtain a criterion of existence, uniqueness, and global exponential stability of periodic solution (i.e. stationary...

Persistent link: https://www.econbiz.de/10010749033

Solution of time-varying delay systems by hybrid functions

Marzban, H.R.; Razzaghi, M. - In: Mathematics and Computers in Simulation (MATCOM) 64 (2004) 6, pp. 597-607

A method for finding the solution of time-delay systems using a hybrid function is proposed. The properties of the … delay are introduced. These matrices together with the operational matrix of integration are utilized to reduce the solution … of time-delay systems to the solution of algebraic equations. Illustrative examples are included to demonstrate the …

Persistent link: https://www.econbiz.de/10010749456

Global stability and bifurcation of time delayed prey–predator system incorporating prey refuge

Jana, Soovoojeet; Chakraborty, Milon; Chakraborty, Kunal; … - In: Mathematics and Computers in Simulation (MATCOM) 85 (2012) C, pp. 57-77

neighborhood of the co-existing equilibrium point. Discrete-type gestational delay of predators is also incorporated on the system …. The dynamics of the delay induced prey–predator system is analyzed. Delay preserving stability and direction of the system … is studied. Global stability of the delay preserving system is shown. Finally, some numerical simulations are given to …

Persistent link: https://www.econbiz.de/10010751774

Numerical optimal control of the wave equation: optimal boundary control of a string to rest in finite time

Gerdts, Matthias; Greif, Günter; Pesch, Hans Josef - In: Mathematics and Computers in Simulation (MATCOM) 79 (2008) 4, pp. 1020-1032

In many real-life applications of optimal control problems with constraints in form of partial differential equations (PDEs), hyperbolic equations are involved which typically describe transport processes. Since hyperbolic equations usually propagate discontinuities of initial or boundary...

Persistent link: https://www.econbiz.de/10011050256

Feedback optimal neural network controller for dynamic systems — A ship maneuvering example

Djouani, K.; Hamam, Y. - In: Mathematics and Computers in Simulation (MATCOM) 41 (1996) 1, pp. 117-127

The present paper deals with the application of the feedforward neural network in feedback control for dynamic systems. First, the problem of non-linear control is solved using the optimal control approach. Then assuming that prior knowledge is available in a certain form (input/output data-base...

Persistent link: https://www.econbiz.de/10011050525

COOPT — a software package for optimal control of large-scale differential–algebraic equation systems

Serban, Radu; Petzold, Linda R. - In: Mathematics and Computers in Simulation (MATCOM) 56 (2001) 2, pp. 187-203

This paper describes the functionality and implementation of COOPT. This software package implements a direct method with modified multiple shooting type techniques for solving optimal control problems of large-scale differential–algebraic equation (DAE) systems. The basic approach in COOPT is...

Persistent link: https://www.econbiz.de/10011050526

The dynamic interaction between economy and ecology

Scheffran, Jürgen - In: Mathematics and Computers in Simulation (MATCOM) 53 (2000) 4, pp. 371-380

The interaction between economic and ecologic dynamic systems is analyzed with a multi-player dynamic game, in which each player invests and allocates available capital to the production or consumption of natural resources and goods, and evaluates the outcome of all players’ actions as well as...

Persistent link: https://www.econbiz.de/10011050759