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Your search keyword '"Pogromsky, Alexander Yu."' showing total 33 results
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33 results on '"Pogromsky, Alexander Yu."'

7. Time-domain moment matching for multiple-input multiple-output linear time-invariant models

Author

Shakib, Mohammad Fahim, Scarciotti, Giordano, Pogromsky, Alexander Yu, Pavlov, Alexey, van de Wouw, Nathan, Shakib, Mohammad Fahim, Scarciotti, Giordano, Pogromsky, Alexander Yu, Pavlov, Alexey, and van de Wouw, Nathan

Abstract

Model reduction by moment matching for linear time-invariant (LTI) models is a reduction technique that has a clear interpretation in the Laplace domain. In particular, for the multiple-input multiple-output (MIMO) LTI case, Krylov subspace methods aim at matching the transfer-function matrix (and possibly its derivatives) of the reduced-order model to the transfer-function matrix of the full-order model along so-called tangential directions at desired interpolation points. A straightforward application of time-domain moment matching to MIMO LTI models does not result in such a match in the transfer-function matrix. In this paper, we derive a relation between the MIMO transfer-function matrices of the full- and the reduced-order models that follows from the application of time-domain moment matching on MIMO LTI models. This is subsequently exploited to formulate conditions on the parameters of time-domain moment matching under which the transfer-function matrix is matched along tangential directions, thus ensuring consistency with classical Krylov subspace methods.

Published
2023

11. Speed gradient control of chaotic continuous-time systems

Author

Fradkov, Alexander L. and Pogromsky, Alexander Yu.

Subjects
Chaos theory -- Research, Adaptive control -- Research, Business, Computers and office automation industries, Electronics, Electronics and electrical industries
Abstract

The problems of synchronization and control of chaotic systems with uncertain parameters are considered as those of nonlinear adaptive control. To solve these problems for continuous-time systems the so called speed-gradient method is applied. As an example the problem of master-slave synchronization of the two forced Duffing's systems is considered.

Published
1996

14. A data rate constrained observer for discrete nonlinear systems

Author

Voortman, Quentin, Pogromsky, Alexander Yu, Matveev, Alexey S., Nijmeijer, Henk, Voortman, Quentin, Pogromsky, Alexander Yu, Matveev, Alexey S., and Nijmeijer, Henk

Abstract

In this paper, we develop a communication protocol for the observation of discrete time, possibly unstable, dynamical systems over communication channels with limited communication capacity. We develop an observer based on the upper box dimension for one-way communication channels that leads to a certain type of observability. This communication scheme preserves observability under communication losses which makes the communication scheme robust towards communication losses without feedback in the communication channel. Using Lyapunov-like techniques, we provide bounds on the minimum communication rate required to implement this observer. We also use the Lyapunov dimension to provide analytical upper bounds on the communication rate. We compute an analytical upper bound and an exact expression for the Lyapunov dimension of the smoothened Lozi map. This bound is then tested in simulations of the communication protocol for the observation problem of the smoothened Lozi map.

Published
2018

30. Application of partial observability for analysis and design of synchronized systems.

Author

Santoboni, Giovanni, Pogromsky, Alexander Yu., and Nijmeijer, Henk

Subjects
*SYNCHRONIZATION, *OBSERVABILITY (Control theory)
Abstract

Synchronization in identical drive-response systems is a problem that can be cast in an observer design framework. In this paper we extend this approach by studying the analysis/design of partial synchronization by means of observer theory. In doing so, we introduce the concept of partial observer—an observer to reconstruct a part of the system state vector. It is also shown how the observability condition can be utilized to analyze the dynamics in an array of coupled identical systems. [ABSTRACT FROM AUTHOR]

Published
2003
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31. Stochastic and Regular Motions in System with 'Yawn'

Author

Pogromsky, Alexander Yu.

Abstract

The complex oscillations appearing in the system with clearance between the drive and driven sections of mechanical transmission are considered and the mathematical model is proposed for certain assumptions. It is shown that the model possesses a resemblance to the Ulam map and has regular and irregular behavior that is typical for the motions of the driven section in system with ‘yawn’.

Published
1995
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32. Data-Rate Constrained Observers of Nonlinear Systems.

Author

Voortman, Quentin, Pogromsky, Alexander Yu., Matveev, Alexey S., and Nijmeijer, Henk

Subjects
*CONSTRAINED optimization, *NONLINEAR systems, *CONTINUOUS functions, *LYAPUNOV exponents, *DIMENSIONS
Abstract

In this paper, the design of a data-rate constrained observer for a dynamical system is presented. This observer is designed to function both in discrete time and continuous time. The system is connected to a remote location via a communication channel which can transmit limited amounts of data per unit of time. The objective of the observer is to provide estimates of the state at the remote location through messages that are sent via the channel. The observer is designed such that it is robust toward losses in the communication channel. Upper bounds on the required communication rate to implement the observer are provided in terms of the upper box dimension of the state space and an upper bound on the largest singular value of the system's Jacobian. Results that provide an analytical bound on the required minimum communication rate are then presented. These bounds are obtained by using the Lyapunov dimension of the dynamical system rather than the upper box dimension in the rate. The observer is tested through simulations for the Lozi map and the Lorenz system. For the Lozi map, the Lyapunov dimension is computed. For both systems, the theoretical bounds on the communication rate are compared to the simulated rates. [ABSTRACT FROM AUTHOR]

Published
2019
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33. A partial synchronization theorem.

Author

Pogromsky AY

Subjects
Computer Simulation, Feedback, Algorithms, Biological Clocks physiology, Metabolic Networks and Pathways physiology, Models, Theoretical, Nerve Net physiology, Nonlinear Dynamics, Oscillometry methods
Abstract

When synchronization sets in, coupled systems oscillate in a coherent way. It is possible to observe also some intermediate regimes characterized by incomplete synchrony which are referred to as partial synchronization. The paper focuses on analysis of partial synchronization in networks of linearly coupled oscillators., ((c) 2008 American Institute of Physics.)

Published
2008
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