The adaptive process can be considered as being driven by two fundamental forces: exploitation and exploration. While the explorative process may be deterministic, the resultant effect may be stochastic. Stochastic effects may also exist in the expoitative process. This thesis considers the effects of stochastic fluctuations inherent in the adaptive process on the behavioural dynamics of a popu...

This paper revisits the classical Linear Quadratic Gaussian (LQG) control from a modern optimization perspective. We analyze two aspects of landscape LQG problem: (1) Connectivity set stabilizing controllers $$\mathcal {C}_n$$ ; and (2) Structure stationary points. It is known that similarity transformations do not change input-output behavior dynamic controller or cost. inherent symmetry by ma...

This paper describes the development of Tango, an automatic generator of backtracking trace analysis tools for single-process speciications written in the formal description language , Estelle. A tool generated by Tango automatically checks the validity of any execution trace against the given speciication, and supports a number of checking options. The approach taken was to modify an Estelle-t...

Leo Szilard pointed out that Maxwell's demon can be replaced by machinery, thereby laying the foundation for understanding physical nature of information. Szilard's information engine still serves as a canonical example after almost hundred years, despite recent significant growth area. The role plays reduced to mapping observable data meta-stable memory, which is utilized extract work. While s...

This papers is concerned with multisymplectic formalisms which are the frameworks for Hamiltonian theories for fields theory. Our main purpose is to study the observable (n− 1)-forms which allows one to construct observable functionals on the set of solutions of the Hamilton equations by integration. We develop here two different points of view: generalizing the law {p, q} = 1 or the law dF/dt ...