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- Kestutis Pyragas
- Philosophical transactions. Series A…
- 2006

Time-delayed feedback control is well known as a practical method for stabilizing unstable periodic orbits embedded in chaotic attractors. The method is based on applying feedback perturbation… (More)

- Kestutis Pyragas
- Physical review letters
- 2001

Delayed feedback control of chaos is well known as an effective method for stabilizing unstable periodic orbits embedded in chaotic attractors. However, it had been shown that the method works only… (More)

- Kestutis Pyragas, Viktoras Pyragas, István Z Kiss, J. L. Hudson
- Physical review letters
- 2002

An adaptive dynamic state feedback controller for stabilizing and tracking unknown steady states of dynamical systems is proposed. We prove that the steady state can never be stabilized if the system… (More)

The phase reduction method is applied to a general class of weakly perturbed time-delay systems exhibiting periodic oscillations. The adjoint equation with an appropriate initial condition for the… (More)

- Kestutis Pyragas, Tatjana Pyragiene
- Physical review. E, Statistical, nonlinear, and…
- 2008

We propose an algorithm of coupling design for a long-term anticipating synchronization of chaos and demonstrate its efficacy for typical chaotic systems: namely, the Rössler system, the… (More)

- Viktoras Pyragas, Kestutis Pyragas
- Physical review. E, Statistical, nonlinear, and…
- 2006

We develop an analytical approach for the delayed feedback control of the Lorenz system close to a subcritical Hopf bifurcation. The periodic orbits arising at this bifurcation have no torsion and… (More)

- Kestutis Pyragas, Viktoras Pyragas, István Z Kiss, J. L. Hudson
- Physical review. E, Statistical, nonlinear, and…
- 2004

A simple adaptive controller based on a low-pass filter to stabilize unstable steady states of dynamical systems is considered. The controller is reference-free; it does not require knowledge of the… (More)

- Irmantas Ratas, Kestutis Pyragas
- Physical review. E, Statistical, nonlinear, and…
- 2014

The act-and-wait control algorithm is proposed to suppress synchrony in globally coupled oscillatory networks in the situation when the simultaneous registration and stimulation of the system is not… (More)

- Viktoras Pyragas, Kestutis Pyragas
- Physical review. E
- 2016

Act-and-wait modification of a time-delayed feedback control (TDFC) algorithm is proposed to stabilize unstable periodic orbits in nonautonomous dynamical systems. Due to periodical switching on and… (More)

- Kestutis Pyragas, Viktoras Pyragas
- Physical review. E, Statistical, nonlinear, and…
- 2009

A modified delayed feedback control algorithm with the improved global properties is proposed. The modification is based on the ergodic features of chaotic systems. We do not perturb the system until… (More)