New Taylor series approach to state-space analysis and optimal control of linear systems

A new orthogonal series approach to state space analysis of bilinear systems

“…In view of the results reported in [14], [15], [20], and [21] for linear systems and the results of this note for bilinear systems, it appears that the underlying philosophy presented in these papers may be extended to cover a greater variety of systems such as timedelay systems, distributed parameter systems, nonlinear systems, etc. The same holds true for the case of discrete-time systems [22].…”

Diamond-alpha Polynomial Series on Time Scales

“…Polynomial series are of great importance in control theory. Both continuous and discrete polynomial series are useful in approximating state and/or control variables, in modal reduction, optimal control, and system identification, providing effective and efficient computational methods [8,12,14]. From recent years, the theory of control for discrete and continuous time is being unified and extended by using the formalism of time scales: see [3,4] and references therein.…”