Results 11 to 20 of about 742,320 (261)

New Conditions of Analysis and Synthesis for Periodic Piecewise Linear Systems With Matrix Polynomial Approach

IEEE Access, 2020
In this paper, new conditions of the stability, stabilization and L2-gain performance of periodic piecewise systems are proposed. Both the continuous and discontinuous Lyapunov functions with dwell-time related time-varying Lyapunov matrix polynomial are
Panshuo Li, Mali Xing, Yun Liu, Bin Zhang   +3 more
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Can the Flap of a Butterfly’s Wings Shift a Tornado into Texas—Without Chaos?

Atmosphere, 2023
In our title, “chaos” means there is a positive Lyapunov exponent that causes the tornado to move. We are asserting that a positive Lyapunov exponent is not always needed to have a butterfly effect.
Yoshitaka Saiki, James A. Yorke
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Membership‐function‐dependent approach to design filter for non‐linear systems with time‐varying delay via interval type‐2 fuzzy model

IET Control Theory & Applications, 2021
This paper addresses the problem of H∞ filtering for non‐linear systems with time‐varying delay via the interval type‐2 (IT2) fuzzy model and the membership‐function‐dependent approach.
Guangtao Ran, Chuanjiang Li
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Stability analysis of 2‐D discrete and continuous state‐space systems

IET Control Theory & Applications, 2022
This paper presents new stability conditions for two‐dimensional (2‐D) systems in state‐space description. Both discrete and continuous systems are studied.
Apostolos Kanellakis, Ayman Tawfik, Panajotis Agathoklis   +2 more
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Master equation approach to the conjugate pairing rule of Lyapunov spectra for many-particle thermostatted systems [PDF]

, 2002
The master equation approach to Lyapunov spectra for many-particle systems is applied to non-equilibrium thermostatted systems to discuss the conjugate pairing rule. We consider iso-kinetic thermostatted systems with a shear flow sustained by an external
C. Wagner, C.M. Newman, C.P. Dettmann, C.P. Dettmann, C.P. Dettmann, C.P. Dettmann, Ch. Dellago, D. Gupalo, D. Panja, D. Panja, D. Ruelle, D.J. Evans, D.J. Evans, D.J. Isbister, D.J. Searles, F. Bonetto, G. Benettin, G. Paladin, G.P. Morriss, G.P. Morriss, Gary P. Morriss, H. van Beijeren, H. van Beijeren, H. van Beijeren, H.A. Posch, I. Shimada, J.-P. Eckmann, J.-P. Eckmann, Lj. Milanović, M. Dolowschiák, M.P. Wojtkowski, P. Gaspard, R. Livi, R. van Zon, R. van Zon, S. Sarman, S. Sastry, T. Taniguchi, T. Taniguchi, Tooru Taniguchi, U. Dressler, W.G. Hoover, W.G. Hoover, Ya.G. Sinai   +43 more
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Delay-dependent robust control for uncertain Linear systems with distributed and multiple delays [PDF]

AUT Journal of Electrical Engineering, 2021
Time-delay in dynamical systems is often a source of instability and poor performance which presents in many applications. This paper deals with the robust control problem for class of uncertain linear neutral systems with multiple state and state ...
Salman Baroumand, Bita Labibi
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Kuhn-Tucker-based stability conditions for systems with saturation [PDF]

, 2001
This paper presents a new approach to deriving stability conditions for continuous-time linear systems interconnected with a saturation. The method presented can be extended to handle a dead-zone, or in general, nonlinearities in the form of piecewise ...
Gianelli, Monica, Primbs, James A.
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Quantum Lyapunov spectrum

Journal of High Energy Physics, 2019
We introduce a simple quantum generalization of the spectrum of classical Lyapunov exponents. We apply it to the SYK and XXZ models, and study the Lyapunov growth and entropy production.
Hrant Gharibyan, Masanori Hanada, Brian Swingle, Masaki Tezuka   +3 more
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Equivalence of kinetic-theory and random-matrix approaches to Lyapunov spectra of hard-sphere systems [PDF]

, 2010
In the study of chaotic behaviour of systems of many hard spheres, Lyapunov exponents of small absolute value exhibit interesting characteristics leading to speculations about connections to non-equilibrium statistical mechanics. Analytical approaches to
Astrid S. de Wijn, Beims, Benettin, Chapman, Chung, Crisanti, de Wijn, de Wijn, de Wijn, de Wijn, Dellago, Dellago, Derrida, Eckmann, Eckmann, Gallavotti, Gallavotti, Gaspard, Hirschfelder, Hoover, McNamara, Paladin, Posch, Taniguchi, Taniguchi, Taniguchi, Taniguchi, van Beijeren, van Zon, Yang, Zanon   +30 more
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Lyapunov matrices approach to the parametric optimization of time-delay systems

Archives of Control Sciences, 2015
In the paper a Lyapunov matrices approach to the parametric optimization problem of time-delay systems with a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of Lyapunov functional for the ...
Duda Józef
doaj   +1 more source