Title :
A derivation method of wave equations provided by optimal control systems
Abstract :
In this paper we study a derivation method of wave equations from Hamilton-Jacobi-Bellman equations which give the necessary and sufficient conditions for the solvability of optimal control problems for continuous-time systems. In order to derive the wave equations we adopt the method by scale transformations and variational calculi, which was first introduced by E. Schrödinger, 1926. Moreover compared with Boltzmann´s principle we clarify significance of the wave functions in the area of systems theory.
Keywords :
Equations; Optimal control; Performance analysis; Propagation; Quantum mechanics; Wave functions; Hamilton-Jacobi equations; Optimal control; quantization as an eigen-value problem; variational calculi; wave equations;
Conference_Titel :
SICE Annual Conference (SICE), 2013 Proceedings of
Conference_Location :
Nagoya, Japan
