Special Topics (Two Dimensional Singular System)
- Definitions: second type singularity, stability, controllability, visibility
- stability analysis
- Introducing state space, G-R, F-M, M-F-M and FTR
- Definition of one-dimensional wave model (WAM)
- Definitions: stroke, index, matrix, extension, regularity, consistent initial conditions
- Introducing the applications of singular systems in engineering
- Design and solution of optimal singular control
- Singular system response using orthogonal functions
- Introduction of GR, FM, MFM and FTR singular systems
- Introducing two-dimensional singular systems using one-dimensional wave model (WAM)
- Stability of two-dimensional singular systems
- Identification of two-dimensional singular systems
- Fault detection in two-dimensional singular systems
- Solving PDE equations using 2D singular model
- Solving optimal control of two-dimensional singular systems
- Application of two-dimensional singular systems in engineering (earthquake, telecommunication networks...)