Exponentially dissipative nonlinear dynamical systems: A nonlinear extension of strict positive realness.

Chellaboina, Vijaysekhar; Haddad, Wassim M.

Displaying similar documents to “Exponentially dissipative nonlinear dynamical systems: A nonlinear extension of strict positive realness.”

On the state observation and stability for uncertain nonlinear systems

Mohamed Ali Hammami (2000)

Kybernetika

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In this paper, we treat the class of nonlinear uncertain dynamic systems that was considered in [3,2,1,4]. We consider continuous-time dynamical systems whose nominal part is linear and whose uncertain part is norm-bounded. We study the problems of state observation and obtaining stabilizing controller for uncertain nonlinear systems, where the uncertainties are characterized by known bounds.

Robust stabilization approach and $H_{\infty}$ performance via static output feedback for a class of nonlinear systems.

Bedioui, Neila, Salhi, Salah, Ksouri, Mekki (2009)

Mathematical Problems in Engineering

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Passivity based stabilization of non-minimum phase nonlinear systems

Juan C. Travieso-Torres, Manuel A. Duarte-Mermoud, Petr Zagalak (2009)

Kybernetika

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A cascade scheme for passivity-based stabilization of a wide class of nonlinear systems is proposed in this paper. Starting from the definitions and basic concepts of passivity-based stabilization via feedback (which are applicable to minimum phase nonlinear systems expressed in their normal forms) a cascade stabilization scheme is proposed for minimum and non-minimum phase nonlinear systems where the constraint of stable zero dynamics imposed by previous stabilization approaches is...

Robust exponential stability of a class of nonlinear systems

Vojtech Veselý, Danica Rosinová (1998)

Kybernetika

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The paper addresses the problem of design of a robust controller for a class of nonlinear uncertain systems to guarantee the prescribed decay rate of exponential stability. The bounded deterministic uncertainties are considered both in a studied system and its input part. The proposed approach does not employ matching conditions.

Robust stabilization of nonlinear control systems by means of hybrid feedbacks.

Prieur, C. (2006)

Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino

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Neural network adaptive control for discrete-time nonlinear nonnegative dynamical systems.

Haddad, Wassim M., Chellaboina, Vijaysekhar, Hui, Qing, Hayakawa, Tomohisa (2008)

Advances in Difference Equations [electronic only]

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Stability analysis and intermittent control synthesis of a class of uncertain nonlinear systems.

Dong, Yali, Mei, Shengwei, Liu, Jinying (2011)

Journal of Inequalities and Applications [electronic only]

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Output feedback problems for a class of nonlinear systems

Sergej Čelikovský, Javier Ruiz, A. J. Sapiens, Jorge A. Torres Muñoz (2003)

Kybernetika

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The paper deals with the construction of the output feedback controllers for the systems that are transformable into a simpler form via coordinate change and static state feedback and, at the same time, via (possibly different) coordinate change and output injection. Illustrative examples are provided to stress the major obstacles in applying the above scheme, especially as far as its global aspects are concerned. The corresponding results are then applied to the problem of the real-time...