On synthesis and electronic realization of non-degenerate dissipative structures

Computation complexity of a broad variety of practical design problems is known to be strongly depending on an algebraic complexity of corresponding mathematical system representations. Especially some large scale electro dynamical and/or thermodynamic structures often lead to mathematical models of infinite or nearly infinite dimensionality. One way to overcome the complexity problems is based on some special algebraic structures of low order model approximations, such as e.g. balanced representations. An alternative approach is based on the concept of tridiagonal system representations [1]. In this contribution an energy conservation principle motivated approach [2], [3], [4], leading to a new class of physically correct tridiagonal dissipative structures [4] is proposed, and some conceptually new results are presented, too.