1. Automata Theory.- Decomposition Theorems.- 2. Linear Systems Theory.- Algebraic Method for Calculating z-Transform.- The Formal Laplace Transform for Smooth Linear Systems.- On Invariants, Canonical Forms and Moduli for Linear, Constant, Finite Dimensional, Dynamical Systems.- System Invariants under Feedback and Cascade Control.- Linear Difference Systems on Partially Ordered Sets.- Estimation of Optimum Structures and Parameters for Linear Systems.- 3. Bi-Linear and Non-Linear Systems.- Functional Expansions and Higher Order Necessary Conditions in Optimal Control.- Un Outil Algebrique: Les Series Formelles non Commutatives.- A Formal Power Series Approach to Canonical Realization of Bilinear Input-Output Maps.- High Order Algebraic Conditions for Controllability.- Semigroup Representations, Bilinear Approximation of Input-Output Maps, and Generalized Inputs.- 4. Infinite Dimensional Systems.- Algebraic Structure of Infinite Dimensional Linear Systems in Hilbert Space.- Representation Theory for Linear Infinite Dimensional Continuous Time Systems.- L2 Systems Theory: Some Applications.- Algebraic Ideas in Infinite Dimensional System Theory.- Finiteness in Infinite-Dimensional Systems Applied to Regulation.- Exponential Stabilization of Functional Differential Equations.- 5. Coding and Filtering for Sequential Systems.- Codes as Elements in a Group Algebra.- An Introduction to Algebraic Coding Theory.- Algebraic Structure and Finite Dimensional Nonlinear Estimation.- Filtering for Random Finite Group Homomorphic Sequential Systems.- 6. General Dynamical Systems and Categorical Approach to Systems.- Categorical Approach to Graphic Systems and Graph Grammars.- Correctness and Equivalence of Data Types.- Minimization Concepts of Automata in Pseudoclosed Categories.- Logical and Algebraical Models of the Networks of Activities.- General Dynamical Systems: Construction and Realization.
