The practical stability of the discrete, fractional order, state space model of the heat transfer process. (English) Zbl 1440.93193
Summary: In the paper the practical stability problem for the discrete, non-integer order model of one dimensional heat transfer process is discussed. The conditions associating the practical stability to sample time and maximal size of finite-dimensional approximation of heat transfer model are proposed. These conditions are formulated with the use of spectrum decomposition property and practical stability conditions for scalar, positive, fractional order systems. Results are illustrated by a numerical example.
MSC:
| 93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |
| 93C20 | Control/observation systems governed by partial differential equations |
| 80A19 | Diffusive and convective heat and mass transfer, heat flow |
