## Abstract In this paper, a convergent numerical procedure to compute ℋ︁~2~ and ℋ︁~∞~ norms of uncertain time‐invariant linear systems in polytopic domains is proposed. The norms are characterized by means of homogeneous polynomially parameter‐dependent Lyapunov functions of arbitrary degree __g__
✦ LIBER ✦
Induced L2 norm model reduction of polytopic uncertain linear systems
✍ Scribed by Fen Wu
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 1009 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0005-1098
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✦ Synopsis
A model reduction problem for polytopic uncertain linear systems based on the induced L2 norm criterion is presented. A su_tf(icient solvability condition is derived, and the computational issues are discussed.
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This paper deals with the problem of model reduction based on an optimization technique. The objective function being minimized in the impulse energy of the overall system with unity, single-sided and doublesided weightings. A number of properties of the gradient flows associated with the objective