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Frequency domain criteria for absolute stability
Kumpati S. Narendra,James Taylor +1 more
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The article was published on 1973-01-01 and is currently open access. It has received 454 citations till now. The article focuses on the topics: Frequency domain & Aizerman's conjecture.read more
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Linear Matrix Inequalities in System and Control Theory
TL;DR: In this paper, the authors present a brief history of LMIs in control theory and discuss some of the standard problems involved in LMIs, such as linear matrix inequalities, linear differential inequalities, and matrix problems with analytic solutions.
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System analysis via integral quadratic constraints
TL;DR: A stability theorem for systems described by IQCs is presented that covers classical passivity/dissipativity arguments but simplifies the use of multipliers and the treatment of causality.
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Stability Criteria for Switched and Hybrid Systems
TL;DR: This paper considers the stability of switched systems in which there are constraints on the switching rules, through both dwell-time requirements and state-dependent switching laws, and discusses the theory of Lyapunov functions and the existence of converse theorems.
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New conditions for global stability of neural networks with application to linear and quadratic programming problems
Mauro Forti,Alberto Tesi +1 more
TL;DR: In this paper, the authors present new conditions ensuring existence, uniqueness, and global asymptotic stability of the equilibrium point for a large class of neural networks, which are applicable to both symmetric and nonsymmetric interconnection matrices and allow for the consideration of all continuous non-reasing neuron activation functions.
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Semi-global exponential stabilization of linear systems subject to “input saturation” via linear feedbacks
Zongli Lin,Ali Saberi +1 more
TL;DR: The existence of linear state feedback and/or output feedback control laws for semi-global exponential stabilization rather than global asymptotic stabilization of linear time-invariant systems was shown in this article.
References
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Algebraic Structure of Generalized Positive Real Matrices
TL;DR: In this paper, the structure of rational positive real matrices is studied and sufficient and necessary conditions for the nonnegativity property are derived, which involve the existence of constant constants.
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A generalization of the Popov criterion
TL;DR: A criterion for the stability of control systems which contain an arbitrary finite number of memoryless nonlinearities reduces to the original Popov criterion when the absolute stability of a control system having one memorylessNonlinearity is considered.
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Logarithmic Variation Criteria for the Stability of Systems with Time-Varying Gains
M. I. Freedman,George Zames +1 more
TL;DR: In this paper, a new stability condition is derived for a feedback system consisting of a linear element $H(s) and a time-varying gain $k(t).