Homogeneous approximations of nonlinear control systems with output and weak algebraic equivalence

Autor: Daria Andreieva, Svetlana Ignatovich

Publikováno v: Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, Vol 99, Pp 36-50 (2024)

In the paper, we consider nonlinear control systems that are linear with respect to controls with output; vector fields defining the system and the output are supposed to be real analytic. Following the algebraic approach, we consider series $S$ of i

Externí odkaz: https://doaj.org/article/d4a5defb58ec4ef8b8633bbf3cf58498

Homogeneous Approximation of One- Dimensional Series of Iterated Integrals and Time Optimality

Autor: Daria M. Andreieva, Svetlana Yu. Ignatovich

Publikováno v: Journal of Optimization, Differential Equations and Their Applications, Vol 31, Iss 2, Pp 1-23 (2023)

In the paper we consider nonlinear systems depending linearly on control with one-dimensional output. As is well known, under the analyticity requirement, the output can be expressed as a series of iterated integrals of controls with scalar coefficie

Externí odkaz: https://doaj.org/article/1dd922f257724431a32b431583ec4afb

On the p-integrable trajectories of the nonlinear control system described by the Urysohn-type integral equation

Autor: Huseyin Anar

Publikováno v: Open Mathematics, Vol 20, Iss 1, Pp 1101-1111 (2022)

The control systems described by the Urysohn-type integral equations and integral constraints on the control functions are considered. The functions from the closed ball of the space Lp{L}_{p}, p>1,p\gt 1, with radius rr, are chosen as admissible con

Externí odkaz: https://doaj.org/article/5d1cc983735f426fb7606369ef37d822

On the robustness of the integrable trajectories of the control systems with limited control resources

Autor: Nesir Huseyin, Anar Huseyin, Khalik G. Guseinov

Publikováno v: Archives of Control Sciences, Vol vol. 33, Iss No 3 (2023)

The control system described by Urysohn type integral equation is considered where the system is nonlinear with respect to the phase vector and is affine with respect to the control vector. The control functions are chosen from the closed ball of the

Externí odkaz: https://doaj.org/article/eaa3cc597f114913a04e195582974555

An approach to solving optimal control problems of nonlinear systems by introducing detail-reward mechanism in deep reinforcement learning

Autor: Shixuan Yao, Xiaochen Liu, Yinghui Zhang, Ze Cui

Publikováno v: Mathematical Biosciences and Engineering, Vol 19, Iss 9, Pp 9258-9290 (2022)

In recent years, dynamic programming and reinforcement learning theory have been widely used to solve the nonlinear control system (NCS). Among them, many achievements have been made in the construction of network model and system stability analysis,

Externí odkaz: https://doaj.org/article/2fd68865a7164b2bba1a452acb712940