*Correspondence: [email protected] School of Basic Science, Changchun University of Technology, Changchun, 130012, P.R. China Abstract In this paper, we investigate the approximate controllability of the coupled system with boundary degeneracy. The control functions act on the degenerate boundary. We prove the Carleman estimate and the unique continuation of the adjoint system. Then we get the ...

This paper presents an optimal control method for a class of distributed-parameter systems governed by first order, quasilinear hyperbolic partial differential equations that arise in many physical systems. Such systems are characterized by time delays since information is transported from one state to another by wave propagation. A general closed-loop hyperbolic transport model is controlled b...

Control applications require defining several parallel activities to model the environment. Periodic tasks model the activities to be executed at periodic instants of time. While the process of control design is focused on obtaining the regulator, later on translated into an algorithm, the software design is focused on producing pieces of software that will be executed concurrently under a sche...

This article deals with the tracking control of periodic references in single-input single-output bilinear systems using a stable inversion-based approach. Assuming solvability of the exact tracking problem and asymptotic stability of the nominal error system, the study focuses on the output behavior when the control scheme uses a periodic approximation of the nominal feedforward input signal u...

Two numerically reliable algorithms to compute the periodic nonnegative definite stabilizing solution of discrete-time periodic Riccati equations are proposed. The first method represents an extension of the periodic QZ algorithm to non-square periodic pairs, while the second method represents an extension of a quotient-product swapping and collapsing ”fast” algorithm. Both approaches are compl...

Periodicity and aperiodicity can exist in a state simultaneously typically become quasi-periodicity quasi-aperiodicity dynamically changing state. The quasi-periodic quasi-aperiodic states existing the periodic/aperiodic mostly correspond to different phenomena require controls. For separation control of these states, this paper defines periodic/aperiodic, quasi-periodic, construct filter that ...