Dynamics of Delayed Piecewise Linear Systems *

Piecewise Constant Controlled Linear Fuzzy Systems

Eigenvalue Assignment Of Discrete-Time Linear Systems With State And Input Time-Delays

Time-delays are important components of many dynamical systems that describe coupling or interconnection between dynamics, propagation or transport phenomena, and heredity and competition in population dynamics. The stabilization with time delay in observation or control represents difficult mathematical challenges in the control of distributed parameter systems. It is well-known that the stabi...

Zero-lag synchronization in coupled time-delayed piecewise linear electronic circuits

R. Suresh, K. Srinivasan, D.V. Senthilkumar, I. Raja Mohamed, K. Murali, M. Lakshmanan, and J. Kurths 1 Centre for Nonlinear Dynamics, Department of Physics, Bharathidasan University, Tiruchirapalli 620 024, India 2 Potsdam Institute for Climate Impact Research, 14473 Potsdam, Germany 3 Department of Physics, B. S. Abdur Rahman University, Chennai 600 048, India 4 Department of Physics, Anna Un...

Hybrid model predictive control of a nonlinear three-tank system based on the proposed compact form of piecewise affine model

In this paper, a predictive control based on the proposed hybrid model is designed to control the fluid height in a three-tank system with nonlinear dynamics whose operating mode depends on the instantaneous amount of system states. The use of nonlinear hybrid model in predictive control leads to a problem of mixed integer nonlinear programming (MINLP) which is very complex and time consuming t...

Manifold Piecewise Constant Systems and Chaos

We propose manifold piecewise constant systems (ab. MPC) and consider basic phenomena: the 2-D, 3-D and 4-D MPCs exhibit limit-cycle, line-expanding chaos and areaexpanding chaos, respectively. The righthand side of the state equation is piecewise-constant, hence the system dynamics can be simplified into a piecewise-linear return map which can be expressed explicitly. In order to analyze the p...

Dynamics of a Delayed Epidemic Model with Beddington-DeAngelis ‎Incidence Rate and a Constant Infectious Period

In this paper, an SIR epidemic model with an infectious period and a non-linear Beddington-DeAngelis type incidence rate function is considered. The dynamics of this model depend on the reproduction number R0. Accurately, if R0 < 1, we show the global asymptotic stability of the disease-free equilibrium by analyzing the corresponding characteristic equation and using compa...