Book ChapterDOI
Robust Absolute Stability of Continuous Systems
Ya. Z. Tsypkin,Boris T. Polyak +1 more
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In this article, a robust stability criterion for continuous-time nonlinear systems with non-parametric uncertainty of a linear part and sector uncertainty of its nonlinear part is proposed.Abstract:
The problem of stability of continuous-time nonlinear systems with non-parametric uncertainty of a linear part and sector uncertainty of its nonlinear part is considered. The proposed robust stability criterion is a natural extension of the circle criterion for absolute stability. The situation with Popov criterion is also discussed; it is demonstrated to be nonrobust for perturbations of a linear part, bounded in H ∞ norm.read more
Citations
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Journal ArticleDOI
Essays on the absolute stability theory
TL;DR: A brief historical background of the development of the absolute stability theory was presented, and some of its methods and approaches, as well as the results obtained using them, were discussed as discussed by the authors.
Journal ArticleDOI
Criteria for robust absolute stability of time-varying nonlinear continuous-time systems
TL;DR: The present paper establishes results for the robust absolute stability of a class of nonlinear continuous-time systems with time-varying matrix uncertainties of polyhedral type and multiple time- varying sector nonlinearities with Lyapunov Second Method and variational method.
Journal ArticleDOI
Technical Communique: A note on absolute stability of uncertain systems
Serkan T. Impram,Neil Munro +1 more
TL;DR: The circle criterion and the Popov criterion are recast in an even more general setting; one which accommodates both types of perturbations in the linear plant.
Proceedings ArticleDOI
Robust strict positive realness via polynomial positivity
TL;DR: In this paper, a polynomial formulation of strictly positive real (SPR) conditions for rational functions and matrices is proposed, which requires only positivity of polynomials.
Journal ArticleDOI
Robust absolute stability of Lurie interval control systems
TL;DR: In this article, a number of sufficient and necessary conditions are derived by using the theories of Hurwitz matrix, M matrix and partial variable absolute stability for the robust absolute stability of Lurie control systems.
References
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Book
Robust process control
TL;DR: A state-of-the-art study of computerized control of chemical processes used in industry is presented in this article for chemical engineering and industrial chemistry students involved in learning the micro-macro design of chemical process systems.
Journal ArticleDOI
Multivariable feedback design: Concepts for a classical/modern synthesis
John Doyle,Gunter Stein +1 more
TL;DR: This paper presents a practical design perspective on multivariable feedback control problems and generalizes known single-input, single-output (SISO) statements and constraints of the design problem to multiinput, multioutput (MIMO) cases.
Book
Stability of nonlinear control systems
TL;DR: In this article, Liapunov and Popov developed a control system as developed from direct method of LAPUNOV, noting V. M. Popov's contribution.