# On the estimation of the attainability set of nonlinear control systems

## Abstract

Analysis of the attainability set and construction of its estimates greatly facilitates the solution of a variety of problems in mathematical control theory. In the paper, the problem of boundedness of the integral funnel of nonlinear controlled system is considered. Some estimates of the attainability sets for a nonlinear controlled system are presented. Theorems on the boundedness of considered integral funnels are proved.

- Authors:

- Saint Petersburg State University, 198504, Universitetskii pr., 35, Saint Petersburg (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22391087

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 1648; Journal Issue: 1; Conference: ICNAAM-2014: International Conference on Numerical Analysis and Applied Mathematics 2014, Rhodes (Greece), 22-28 Sep 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CONTROL SYSTEMS; CONTROL THEORY; INTEGRALS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS

### Citation Formats

```
Ekimov, A.V., Balykina, Yu.E., and Svirkin, M.V..
```*On the estimation of the attainability set of nonlinear control systems*. United States: N. p., 2015.
Web. doi:10.1063/1.4912667.

```
Ekimov, A.V., Balykina, Yu.E., & Svirkin, M.V..
```*On the estimation of the attainability set of nonlinear control systems*. United States. doi:10.1063/1.4912667.

```
Ekimov, A.V., Balykina, Yu.E., and Svirkin, M.V.. Tue .
"On the estimation of the attainability set of nonlinear control systems". United States.
doi:10.1063/1.4912667.
```

```
@article{osti_22391087,
```

title = {On the estimation of the attainability set of nonlinear control systems},

author = {Ekimov, A.V. and Balykina, Yu.E. and Svirkin, M.V.},

abstractNote = {Analysis of the attainability set and construction of its estimates greatly facilitates the solution of a variety of problems in mathematical control theory. In the paper, the problem of boundedness of the integral funnel of nonlinear controlled system is considered. Some estimates of the attainability sets for a nonlinear controlled system are presented. Theorems on the boundedness of considered integral funnels are proved.},

doi = {10.1063/1.4912667},

journal = {AIP Conference Proceedings},

number = 1,

volume = 1648,

place = {United States},

year = {Tue Mar 10 00:00:00 EDT 2015},

month = {Tue Mar 10 00:00:00 EDT 2015}

}

DOI: 10.1063/1.4912667

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