Asymmetric Sufficient Condition for Stability Robustness of Singular Systems With Structured Parameter Uncertainties
نویسندگان
چکیده
منابع مشابه
Robustness of Dynamic Systems with Parameter Uncertainties
In this paper Kharitonov's theorem for the robust stability'.df kterval , polynomials is proved using the second method of Lyapunov. The Hermi+' matfi is taken as the matrix of the form which is used as a Lyapunov funct i i tq prove B m i B stability. It is shorn that if the four Hermite matrices eorrespqndmg; to the four Xharitonov extreme pobmomials are positive definite, the Hermitemhtriw of...
متن کاملRobustness of Dynamic Systems with Parameter Uncertainties
In this paper Kharitonov's theorem for the robust stability of interval polynomials is proved using the second method of Lyapunov. The Hermite matrix is taken as the matrix of the quadratic form which is used as a Lyapunov function to prove Hurwitz stability. I t is shown that if the four Hermite matrices corresponding to the four Kharitonov extreme polynomials are positive definite, the Hermit...
متن کاملRobust Stability Analysis of Linear Systems with Affine Parameter Uncertainties
This paper is concerned with the problem of robust stability of a class of uncertain linear systems, where the system state-matrices considered are affinely dependent on the uncertain parameters. Affine parameter-dependent Lyapunov functions are exploited to prove stability, and a robust stability criterion for the above class of systems to be affinely quadratically stable (AQS) is given in ter...
متن کاملImproved Stability and Stabilization Criteria of Singular System with Time-delay and Parameter Uncertainties ⋆
The problems of delay-dependent robust stability and stabilization for continuously singular timedelay systems with norm-bounded uncertainties are investigated in this paper. Based on a Lyapunov functional, which includes some non-positive items, the modified delay-dependent LMIs-based conditions are established for the singular time-delay systems to be regular, impulse free, and stable. Then, ...
متن کاملNecessary and Sufficient Stability Condition of Discrete State Delay Systems
Abstract: A new method to solve a Lyapunov equation for a discrete delay system is proposed. Using this method, a Lyapunov equation can be solved from a simple linear equation and N -th power of a constant matrix, where N is the state delay. Combining a Lyapunov equation and frequency domain stability, a new stability condition is proposed for a discrete state delay system whose state delay is ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2001
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7370