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Optimization of a dynamic system has immense importance in Management Science. Both discrete time and continuous time optimal control systems are very useful instruments in this regard. To simulate uncertainty regarding the structure and components of a dynamic system, a number of novel methods are introduced which can alter the standard treatment of a dynamic system. Dynamic Systems Modelling and Optimal Control explores the applications of oil field development, energy system modelling, resource modelling, time varying control of dynamic system of national economy, and investment planning.