In this paper, the periodic, quasi periodic and chaotic responses of rotational machines with a hexagonal centrifugal governor are studied. The external disturbance is assumed as a sinusoid effect. By using the forth order Rung-Kutta numerical integration method, bifurcation diagram, largest Lyapunov exponent and Lyapunov dimension are calculated and presented to detect the critical controlling...

Considering a reservoir with periodic states and different cost functions with penalty, its release rules can be modeled as a periodic Markov decision process (PMDP). First, we prove that policyiteration algorithm also works for the PMDP. Then, with policyiteration algorithm, we obtain the optimal policies for a special aperiodic reservoir model with two cost functions under large penalty and g...

This paper studies the stabilization for a kind of linear and impulse control system in finite-dimensional space where instants appear periodically. We present several characterizations on stabilization; show how to design feedback laws, provide locations ensure stabilization. In proofs these results, we set up discrete LQ problem, derive dynamic programming principle, build variant Riccati's e...

In this paper we solve positive and contractive multiblock problems in the Wiener algebra of almost periodic functions of several variables. We thus generalize the classical four block problem that appears in robust control in many ways. The necessary and sufficient conditions are in terms of appropriate Toeplitz (positive case) and Hankel operators (contractive case) on Besikovitch space. In a...