On the study of robust stability and aperiodicity of continuous and discrete systems

At present, there is no need to justify the importance of the study of robust stability (i.e., the preservation of stability by the system under conditions of uncertainty). If the model describes a physical object (mechanical, physical, economic, etc.), then, as a rule, its parameters are not known exactly, although the equations describing the operation of the system are known. That is, there is always uncertainty in real tasks. The article discusses some approaches to the study of both stability and aperiodicity of interval-indeterminate continuous and discrete systems using the Mikhailov criterion. The study provides examples of concrete calculations of robust stability boundaries for continuous systems of the third and fourth order.