Linear time-varying singular systems E(r)i = A(t)x + B(t)u are treated. A necessary and sufficient condition for the existence of linear state feedback to eliminate impulsive behavior is derived. The condition obtained is a natural extension of existing time-invariant theory.
Regularizations of linear time varying singular systems
โ Scribed by Stephen L. Campbell
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 584 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0005-1098
No coin nor oath required. For personal study only.
โฆ Synopsis
Singular systems of differential equations arising in reduced-order models are often regularized by the introduction of small parameters. The types of regularization used for linear time invariant systems need not work on linear time varying systems. This paper gives examples and discusses this behavior. Conditions under which the standard type of regularization works are developed.
๐ SIMILAR VOLUMES
This paper is concerned with the identification of linear time-varying systems. The discrete-time state space model of freely vibrating systems is used as an identification model. The focus is placed on identifying successive discrete transition matrices that have the same eigenvalues as the origina
## We develop an adaptive control technique for the regulation of a class of linear, discrete-time, time-varying system. The only a priori knowledge required is a bound of the varying component of the parameters. The result is concerned with global behaviour.
## Abstract This paper focuses on __H__~โ~ filter design for continuousโtime singular systems with timeโvarying delay. A delayโdependent __H__~โ~ performance analysis result is first established for error systems via a novel estimation method. By combining a wellโknown inequality with a delay parti