Cooperators forgo their own interests to benefit others. This reduces their fitness and thus cooperators are not likely to spread based on natural selection. Nonetheless, cooperation is widespread on every level of biological organization ranging from bacterial communities to human society. Mathematical models can help to explain under which circumstances cooperation evolves. Evolutionary game ...

Discrete-time synergetic optimal control strategies are proposed for a class of nonlinear discrete-time dynamic systems, in which a special performance index is used that results in closed-form solutions of the optimal problems. Reduced-dimension aggregated variables representing a combination of the actual controlled plant variables are used to define the performance index. The control law opt...

Teachers’ verbal behavior is a key contributor to provision of appropriate indirect intervention in language learning contexts; however, it is surprising that professionals in ELT, to date, have not proposed a structured oral/verbal framework to deliver intervention and assistance in language learning contexts. To help redress this gap, Heron’s Six-Category Intervention Analysis was adapted to ...

The theory of a jamming transition is proposed for the homogeneous car-following model within the framework of the Lorenz scheme. We represent a jamming transition as a result of the spontaneous deviations of headway and velocity that is caused by the acceleration/braking rate to be higher than the critical value. The stationary values of headway and velocity deviations and time of acceleration...

economists were interested in economic stabilization policies as early as the 1930’s but the formal applications of stability theory from the classical control theory to economic analysis appeared in the early 1950’s when a number of control engineers actively collaborated with economists on economic stability and feedback mechanisms. the theory of optimal control resulting from the contributio...