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Improved Results on Robust Stability of Multivariable Interval Control Systems
Long Wang
For interval polynomial matrices, we identify the minimal testing set, whose stability can guarantee that of the whole uncertain set. Our results improve the conclusions given by K…
Robust SPR Synthesis for Low-Order Polynomial Segments and Interval Polynomials
Long Wang, Wensheng Yu
We prove that, for low-order (n < 5) stable polynomial segments or interval polynomials, there always exists a fixed polynomial such that their ratio is SPR-invariant, thereby prov…
Geometric Characterization of Strictly Positive Real Regions and its Applications
Long Wang, Wensheng Yu
Strict positive realness (SPR) is an important concept in absolute stability theory, adaptive control, system identification, etc. This paper characterizes the strictly positive re…
Stability of Polytopic Polynomial Matrices
Long Wang, Zhizhen Wang, Wensheng Yu
This paper gives a necessary and sufficient condition for robust D-stability of Polytopic Polynomial Matrices. Edge theorem is extended to multi-input-multi-output case.