On continuous-time stochastic systems in a new approach to system theory

This paper deals with an alterative definition of continuous-time models of discrete-time causal systems in a new approach to system theory, namely with the definition of continuous-time stochastic systems. Despite the general system theory has been intensively studied since 1960s, none of the developed theories has been fully accepted by professional community as sufficiently comprehensive up to now. The alternative system theory is based on quite new system paradigms consequent upon attentive observations and results in an axiomatic system theory with correctly and unambiguously defined notions.