Two new asymptotic stability criteria for linear time-invariant systems with multiple delays are established by using a quadratic inequality lemma together with frequency-domain techniques. One criterion is for delay-dependent โฃ-stability and another is for delay-independent asymptotic stability. Ea
Graphical stability criteria for nonlinear multiloop systems
โ Scribed by J.D. Blight; N.H. Mcclamroch
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 263 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0005-1098
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โฆ Synopsis
In this paper a description of a certain class of multiloop systems, called the Standard Multiloop Form, is introduced. This description is expressed explicitly in terms of certain scalar subsystems and can be shown to include many of the common descriptions of multiloop systems. The stability criteria presented in this paper involve the individual Nyquist plots of the linear scalar subsystems and a certain positivity condition on the nonlinear subsystems. The method allows for relatively convenient computations. The derivation depends on the hyperstability concept introduced by V. M. Popov.
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