The representation of the input-output operator in convolution algebra B(σ0) is obtained for distributed parameter systems described by linear hyperbolic partial differential equations. Three kinds of system are considered depending on the kind of coefficient matrix corresponding to the space variable derivative, and their properties are studied. Necessary and sufficient conditions for stability are obtained in terms of factorization of the transition matrix. The obtained results allow the use of modern algebraic methods for analysis of such systems.
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Computer Science Applications