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A problem of inner convex approximation of a stability domain is addressed in the paper for continuous-time linear control systems. A constructive procedure for generating stable cones of polynomials is provided. The main idea is based on the construction of so-called Routh rays (stable half-lines) starting from a given stable point. These lines serve as edges for the corresponding polyhedral Routh...
A simple necessary condition and sufficient condition for robust Hurwitz stability of interval polynomial is obtained using the results of Nie [13] for fixed polynomials. These conditions provide a simple and quick test to detect many unstable systems. Furthermore, these conditions are used to derive a robust controller for interval plants which involves less computational complexity compared to extreme...
This paper deals with the quadratic stabilization of discrete-time LTI systems using state-feedback controllers with bounded coefficients. The controllers are guaranteed to be non-fragile with respect to additive or multiplicative implementation errors. The approach is based on robust-control tools and LMIs. Finally, an example is given in order to illustrate the effectiveness of the approach.
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