NDLI: Some properties and stability results for sector-bounded lti systems

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Some properties and stability results for sector-bounded lti systems

Content Provider	NASA Technical Reports Server (NTRS)
Author	Joshi, Suresh M. Gupta, Sandeep
Copyright Year	1994
Description	This paper presents necessary and sufficient conditions for a linear, time-invariant (LTI) system to be inside sector (n, b) in terms of linear matrix inequalities in its state-space realization matrices, which represents a generalization of similar conditions for bounded H(sub infinity)-norm systems. Further, a weaker definition of LTI systems strictly inside closed sector (a, b) is proposed, and state-space characterization of such systems is presented. Sector conditions for stability of the negative feedback interconnection of two LTI systems and for stability of LTI systems with feedback nonlinearities are investigated using the Lyapunov function approach. It is shown that the proposed weaker conditions for an LTI system to be strictly inside a sector are sufficient to establish closed-loop stability of these systems.
File Size	482919
Page Count	10
File Format	PDF
Alternate Webpage(s)	http://archive.org/details/NASA_NTRS_Archive_19960024185
Archival Resource Key	ark:/13960/t84j5f01h
Language	English
Publisher Date	1994-12-16
Access Restriction	Open
Subject Keyword	Numerical Analysis Linear Systems Liapunov Functions Negative Feedback Systems Engineering Transfer Functions Control Stability Invariance Feedback Control Matrices Mathematics Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science
Content Type	Text
Resource Type	Technical Report

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