Continuous-discrete Linear Systems Research Articles

Positive 2D Continuous-Discrete Linear Systems

A new class of positive 2D continuous-discrete linear models is introduced. Sufficient conditions for 2D continuous-discrete linear model to be a positive system are established. The solution to the positive 2D continuous-discrete model is derived. Necessary and sufficient conditions for the local reachability of the positive 2D system are established. The minimum energy control problem for positive 2D continuousdiscrete systems is formulated and solved.

Stabilization of singular 2-D continuous-discrete systems by state-feedback controllers

Necessary and sufficient conditions are established for the existence of a solution to the stabilization problem for singular two-dimensional (2-D) continuous-discrete linear systems. A procedure is presented for designing a state-feedback controller such that the closed-loop system is asymptotically stable, and its response is impulse-free.

Generalized 2-D Continuous-Discrete Linear Systems with Delays

A general Kurek (K) type model and a general Roesser (R) type model of 2-D continuous-discrete linear systems with deviating arguments are introduced A solution and the general response formula for the regular general type model of 2-D continuous-discrete linear systems with delays are derived. Necessary and sufficient conditions for the local reachability and the local controllability ofthe regular general K type model are established. The minimum energy control of the regular model is solved.