Summary
Singular systems of differential equations arise in many areas of science and technology, including electro-mechanical systems, electronic circuits, chemical and biological reactors, and fluid flow systems. In this thesis, two classes of singular nonlinear systems are considered; namely, (i) singularly perturbed systems, and (ii) generalized systems, or descriptor, or differential-algebraic systems. [special characters omitted] and [special characters omitted] techniques for state estimation of these classes of systems are developed, and sufficient conditions for the solvability of the problems in terms of Hamilton-Jacobi equations are presented. Both continuous-time and discrete-time systems are considered, and examples are presented to show the usefulness of the results.
Read More ↓Edition Statements
- Publication Date:2011
Thesis Information
- Degree:Ph.D.
- University:Ecole Polytechnique, Montreal (Canada)
- Advisor/Supervisor:M. B. Perrier, Luc
- Pages:254
Publication Statements
- Language:eng
- Publication Date:2011
Edition Identifiers
- proquest:998420190
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