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## Journal of Dynamical and Control Systems OnlineFirst articles

04.09.2018

### Control Systems on the Engel Group

We consider control affine systems, as well as cost-extended control systems, on the (four-dimensional) Engel group. Specifically, we classify the full-rank left-invariant control affine systems (under both detached feedback equivalence and …

28.08.2018

### Optimality of Broken Extremals

In this paper, we analyse the optimality of broken Pontryagin extremal for an n-dimensional affine control system with a control parameter, taking values in a k-dimensional closed ball. We prove the optimality of broken normal extremals in many …

15.08.2018

### The Quenching Behavior for a Quasilinear Parabolic Equation with Singular Source and Boundary Flux

In this paper, we consider the quenching behavior for a one-dimensional quasilinear parabolic equation with singular source and boundary flux. We show that the quenching occurs only on the boundary in finite time, and derive the lower and upper …

28.07.2018

### On Constrictions of Phase-Lock Areas in Model of Overdamped Josephson Effect and Transition Matrix of the Double-Confluent Heun Equation

In 1973, B. Josephson received a Nobel Prize for discovering a new fundamental effect concerning a Josephson junction,—a system of two superconductors separated by a very narrow dielectric: there could exist a supercurrent tunneling through this …

19.07.2018

### Stabilization of One-Dimensional Schrödinger Equation Under Joint Feedback Control with Delayed Observation

In this paper, we consider a one-dimensional Schrödinger equation under a joint linear feedback control at an arbitrary internal point ξ ( 0 < ξ < 1 ) $\xi (0<\xi <1)$ . It is shown that the pointwise control system is asymptotically stable if ξ …

## Aktuelle Ausgaben

### Über diese Zeitschrift

Journal of Dynamical and Control Systems examines the entire spectrum of issues related to dynamical systems, focusing on the theory of smooth dynamical systems with analyses of measure-theoretical, topological, and bifurcational aspects. It covers all essential branches of the theory--local, semilocal, and global--including the theory of foliations.

The journal also features in-depth papers devoted to control systems research that spotlight the geometric control theory, which unifies Lie-algebraic and differential-geometric methods of investigation in control and optimization, and ultimately relates to the general theory of dynamical systems.

Journal of Dynamical and Control Systems presents peer-reviewed survey and original research articles. Accessible to a broad range of scholars, each survey paper contains all necessary definitions and explanations, a complete over-view of the problem discussed, and a description of its importance and relationship to basic research on the subject.

This publication also features authoritative contributions describing ongoing investigations and innovative solutions to unsolved problems as well as detailed reviews of newly published books relevant to future studies in the field.

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