numerical methods

Modern digital control systems make it possible to implement quite complex control strategy, the complexity of which is limited by the hardware capabilities, the available software and the implemented control algorithm. An important component of such an algorithm is the numerical method, which allows to discretize the control rule on the basis of a continuous prototype. Such application example is the classic PID controller, which has become the basis for the development of digital control systems.

This survey is intended to give an overview of the existing numerical methods and techniques for solving a multi-parameter eigenvalue problem.  It also collects some well-known examples of multi-parameter spectral problem and its practical applications in different scientific areas.