The project is devoted to solution of problems of identification of dynamical systems on time scales. The stability and observability problem will be solved first as tools for identifiability analysis. A broad spectrum of identification tasks (solving delayed and fractional stiff systems, extension of Bayesian framework for identification by assuming time-variable equality/ inequality constraints and by novel concept of model fusion, identification of systems with orthogonal functions based on generalized Laguerre functions leading to fractional order models) will be rigorously solved by modern methods. The project will provide unified approach to identification of continuous and discrete time models from discrete time input/output measurements. It will place emphasis on analysis and identification of nonlinear and time varying systems.
Dynamical Systems Identification on Time-Scales
Grantová agentura České republiky