Modelling and simulation of large scale multiparameter dynamical system

Use is made of the motion of associated matrix differential equations in the study of multiparameter dynamical systems which are time-dependent. Conditions which guarantee exact solutions of nonlinear Riccati matrix differential equations are established along with an example of such cases. Examples of dynamical systems, where tracking of such systems is desired, are given which involve the use of associated matrix differential equations of the Lyapunov type. Applications of such dynamical systems occur in the area of control theory, robotics, etc