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On The Stability Analysis Of Linear Continuous-Time Distributed Systems, Mohammad Shekaramiz
On The Stability Analysis Of Linear Continuous-Time Distributed Systems, Mohammad Shekaramiz
Electrical and Computer Engineering Faculty Publications
This paper discusses the stability problem of linear continuous-time distributed systems. When dealing with large-scale systems, usually there is not thorough knowledge of the interconnection models between different parts of the entire system. In this case, a useful stability analysis method should be able to deal with high dimensional systems accompanied with bounded uncertainties for its interconnections. In this paper, in order to formulate the stability criterion for large-scale systems, stability analysis of LTI systems is first considered. Based on the existing methods for estimating the spectra of square matrices, sufficient criteria are proposed to guarantee the asymptotic stability of …
Simple Stability Criteria For Uncertain Continuous-Time Linear Systems, Mohammad Shekaramiz
Simple Stability Criteria For Uncertain Continuous-Time Linear Systems, Mohammad Shekaramiz
Electrical and Computer Engineering Faculty Publications
This paper mainly deals with the stability problem of continuous-time linear systems having uncertainties. Instead of using the tradition types of Lyapunov functions, this paper provides a very different method to investigate the stability of such systems. Hence, it reduces the conservativeness of having structured uncertainties belonging to convex sets. Based on a famous theorem that specifies regions containing all the eigenvalues of a complex square matrix, sufficient criteria are proposed to guarantee the asymptotic stability of linear systems. The main merit of this method is in analyzing linear systems having uncertainties. Moreover, the proposed criteria can also be used …