Matrix analysis
Introduction to matrix analysis (2nd ed.)
Introduction to matrix analysis (2nd ed.)
Robust Control: The Parametric Approach
Robust Control: The Parametric Approach
Feedback Systems: Input-Output Properties
Feedback Systems: Input-Output Properties
Piecewise-Linear Lyapunov Functions and Localization of Spectra of Stable Matrices
Automation and Remote Control
Survey paper: Set invariance in control
Automatica (Journal of IFAC)
Survey A survey of computational complexity results in systems and control
Automatica (Journal of IFAC)
Superstable Linear Control Systems. II. Design
Automation and Remote Control
Extended Superstability in Control Theory
Automation and Remote Control
Hard Problems in Linear Control Theory: Possible Approaches to Solution
Automation and Remote Control
On "Superstable" discrete systems
Automation and Remote Control
About a class of systems preserving the stability property at negative feedbacks
Automation and Remote Control
Automation and Remote Control
Robustness and correction of linear models
Automation and Remote Control
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The notion of superstability of linear control systems was introduced. Superstability which is a sufficient condition for stability was formulated in terms of linear constraints on the entries of a matrix or the coefficients of a characteristic polynomial. In the first part of the paper, the properties of superstable systems were studied. The norms of solutions were proved to decrease exponentially monotonically in the absence of perturbations, and the solutions were proved to be uniformly bounded in the presence of bounded perturbations. A generalization to nonlinear and time varying systems was discussed. Spectral properties of superstable systems were studied. For interval matrices, a complete solution was given to the problem of robust superstability.