Lp stability of time-varying linear feedback systems
, 1972 In this note, we consider the input-output stability of feedback systems whose forward element is linear and time varying and whose feedback element is a memoryless gain multiplier with a gain that is absolutely integrable as a function of time ...
Vidyasagar, M.
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Bounded real lemmas for positive descriptor systems [PDF]
, 2015 A well known result in the theory of linear positive systems is the existence of positive definite diagonal matrix (PDDM) solutions to some well known linear matrix inequalities (LMIs).
Yan, Xinggang +3 more
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An Extension of Popov Criterion to Multivariable Time-Varying Nonlinear Systems. Application to Criterion for Existence of Stable Limit Cycles [PDF]
, 1998 Projet SOSSOThis report deals with sufficient conditions for absolute stability of multivariable control systems. The proposed conditions extend in a simple way the classical Popov criterion to time-varying memoryless nonlinearities.
Krasnosel'Skii, Alexander M. +1 more
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Absolute stability of feedback systems in Hilbert spaces
, 1997 The problem of absolute stability of a feedback loop of an abstract differential system in Hilbert spaces is considered. Applications of Popov's type frequency domain criteria and of the Kalman-Yakubovich Lemma for the construction of Lyapunov ...
P. M. Pardalos +4 more
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88th Annual Meeting of the Meteoritical Society 2026: Abstracts
Meteoritics &Planetary Science, Volume 61, Issue S1, Page S48-S551, August 2026.
wiley +1 more source
A generalisation of the nonlinear small-gain theorem for systems with abstract initial conditions
, 2013 We consider the development of a general nonlinear small-gain theorem for systems with abstract initial conditions. Systems are defined in a set theoretic manner from input-output pairs on a doubly infinite time axis, and a general construction of the ...
Jing Liu +3 more
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Finite time stability of nonlinear strongly dissipative feedback systems
In this paper, we introduce the notion of strongly dissipative dynamical systems. In particular, we construct a stronger version of the dissipation inequality that implies system dissipativity and generalises the notion of strict dissipativity but unlike
Haddad, Wassim M. +2 more
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State-Dependent Scaling Characterization for Interconnected Nonlinear Systems–Part I : Constructive Generalization of Stability Criteria [PDF]
, 2004 This paper is concerned with the problem of global stability and performance of nonlinear interconnected systems. The state-dependent scaling problem is proposed as a unified mathematical formulation whose solutions explicitly provide Lyapunov functions ...
伊藤, 博 +6 more
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Observer-Based SPR Feedback Control System Design
, 2002 This paper presents theory for stability analysis and design for a class of observer-based feedback control systems. Relaxation of the controllability and observability conditions imposed in the Yakubovich-Kalman-Popov (YKP) lemma can be made for a class
Robertsson, Anders, +2 more
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Generalized Popov theory applied to state-delayed systems
, 2001 The generalized Popov theory was used to simultaneously achieve closed-loop stability and gamma attenuation for systems described in terms of linear delay differential equations.
Dion, Jean-Michel +9 more
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