Identification of Hereditary Control Systems via Approximation Techniques
Final rept. 1 Jun 78-30 Sep 81
VIRGINIA POLYTECHNIC INST AND STATE UNIV BLACKSBURG DEPT OF MATHEMATICS
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This report investigates approximation techniques for identification of control systems governed by functional differential equations. The work was primarily concerned with retarded systems, although some effort was devoted to neutral systems. Throughout the research, the objective was the development of efficient computational algorithms for parameter estimation in linear and nonlinear hereditary systems. The investigations were based on state space formulations of hereditary dynamics, on corresponding approximation techniques and on finite difference methods. The results obtained are applicable to a large class of dynamical processes with memory, including certain aero-elastic problems, biological feedback systems, feedback control systems, visco-elastic problems and mechanical systems with retardation.
- Theoretical Mathematics