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- Anton S. Shiriaev, Co-chairs G. Leonov, +8 authors Dmitry A. Tomchin
- 2007

This paper provides an introduction to several problems and techniques related to controlling periodic motions of dynamical systems. In particular, we define and discuss problems of motion planning and orbit planning, analysis methods such as the classical Poincaré first-return map and the transverse linearization, and exponentially orbitally stabilizing… (More)

- Alexey V. Pavlov, Alexander Yu. Pogromsky, Nathan van de Wouw, Henk Nijmeijer
- Systems & Control Letters
- 2004

We review and pay tribute to a result on convergent systems by the Russian mathematician Boris Pavlovich Demidovich. In a sense, Demidovich’s approach forms a prelude to a 7eld which is now called incremental stability of dynamical systems. Developments on incremental stability are reviewed from a historical perspective. c © 2004 Elsevier B.V. All rights… (More)

- Witold Respondek, Alexander Yu. Pogromsky, Henk Nijmeijer
- Automatica
- 2004

The paper deals with the problem of destabilization of diffusively coupled identical systems. It is shown that globally asymptotically stable systems being diffusively coupled, may exhibit oscillatory behavior. It is shown that if the diffusive medium consists of hyperbolically nonminimum phase systems and the diffusive factors exceed some threshold value,… (More)

- Alexander Yu. Pogromsky, W. P. M. H. Heemels, Henk Nijmeijer
- Automatica
- 2003

In this paper we study the well-posedness (existence and uniqueness of solutions) of linear relay systems with respect to two di5erent solution concepts, Filippov solutions and forward solutions. We derive necessary and su7cient conditions for well-posedness in the sense of Filippov of linear systems of relative degree one and two in closed loop with relay… (More)

- Alexey V. Pavlov, Alexander Yu. Pogromsky, Nathan van de Wouw, Henk Nijmeijer
- Int. J. Control
- 2007

In this paper convergence properties of piecewise affine (PWA) systems are studied. In general, a system is called convergent if all its solutions converge to some bounded globally asymptotically stable steady-state solution. The notions of exponential, uniform and quadratic convergence are introduced and studied. It is shown that for non-linear systems… (More)

- Giovanni Santoboni, Alexander Yu. Pogromsky, Henk Nijmeijer
- I. J. Bifurcation and Chaos
- 2003

Traditionally, in engineering science, observer techniques most often deal with control problems. However, the potential of the theory on nonlinear observers [Njimejier & Mareels, 1997; Krener & Respondek, 1983; Xia & Gao, 1989] lies far beyond the area of control applications. Let us discuss a naive but illustrative example. Suppose a physician can monitor… (More)

A convergence-based anti-windup control strategy is presented and demonstrated by the example of aircraft yaw control problem.