In this paper, under assumptions that the linear nominal descriptor system is regular and controllable, some sufficient conditions are proposed to preserve the assumed properties when both structured (elemental) and unstructured (norm-bounded) parameter uncertainties are added into the nominal descr
Digraph characterization of structural controllability for linear descriptor systems
β Scribed by Kurt J. Reinschke; Gunter Wiedemann
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 1015 KB
- Volume
- 266
- Category
- Article
- ISSN
- 0024-3795
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β¦ Synopsis
AB STBACT
For linear descriptor systems of the form Ei = Ax + Bu, the different kinds of controllability are analyzed by graph-theoretic means. Starting from known algebraic criteria, digraph conditions for structural r-controllability, structural impulse controllability, and structural complete controllability are derived. A nontrivial electrical example system illustrates the application of the results.
π SIMILAR VOLUMES
Structural properties qf linear systems are pointed out directly from the bond graph representation and,fiom the junction structure matrix S. Necessary and sufji'cient conditions are presented,fbr any class of bond graphs usinq the concept of' causal connection between dynumical elements.
For linear descriptor systems of the form BαΊ = Ax + Cu, y = Ox, this paper constructs reduced order systems associated with a given part of the finite spectrum of the pencil It is known that the reduction can be obtained by a block diagonalization of the generalized Schur decomposition of P(Ξ»). In
The modification of the algorithms of the calculus of variations and Pontryagin's maximum principle required for them to be applicable to non-linear descriptor control systems is demonstrated. The classical calculus of variations is still applicable in optimization without constraints on the control