Time-varying pascal systems

This paper deals with structures and properties of time-varying multivariable Pascal systems. Semigroup properties of the time-varying Pascal systems are presented and corresponding solutions are established. The attractive feature of this technique is that it reduces the original differential system to a system of linear algebraic equations from which the solutions in any time-interval can be obtained very easy. The presented approach generalizes standard results of the Lyapunov-Floquet theory on time-periodic systems. The novelty of the present method is that it reduces any time-varying system to a corresponding time-varying Pascal system which can be solved by the established algorithm.