Exact and approximate controllability of nonlinear dynamic systems in infinite time: The Green's function approach
DOI10.1002/zamm.201800122OpenAlexW2891010183MaRDI QIDQ6152146
Asatur Zh. Khurshudyan, A. S. Avetisyan
Publication date: 12 February 2024
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/zamm.201800122
unbounded domainsmoving sourceorthogonal expansionnull-controllabilitynonlinear Green's functiondominated convergenceinfinite timeFrasca's methodnonlinear state constraintsregular and fully regular systems
Model systems in control theory (93Cxx) Controllability, observability, and system structure (93Bxx) Optimality conditions (49Kxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global exact controllability in infinite time of Schrödinger equation
- Approximate controllability and lack of controllability to zero of the heat equation with memory
- Some problems of control of the distributed-parameter systems
- Solutions of finite-dimensional nonlinear problem of moments for control problems
- Constrained controllability of semilinear systems with delays
- The Pontryagin maximum principle for nonlinear optimal control problems with infinite horizon
- Euler equations are not exactly controllable by a finite-dimensional external force
- Lack of exact controllability for wave and plate equations with finitely many boundary controls
- Solving frontier problems of physics: the decomposition method
- Nonlinear Green's functions for wave equation with quadratic and hyperbolic potentials
- Heuristic determination of resolving controls for exact and approximate controllability of nonlinear dynamic systems
- Constrained controllability of nonlinear systems
- Linear programming formulations of deterministic infinite horizon optimal control problems in discrete time
- Infinite-horizon optimal control problems in economics
- Homotopy Analysis Method in Nonlinear Differential Equations
- Optimal boundary control of a string to rest in finite time with continuous state
- GREEN FUNCTIONS AND NONLINEAR SYSTEMS: SHORT TIME EXPANSION
- Green’s function solution of nonlinear wave equation depending on the absolute value of the unknown function
- Constrained controllability of some nonlinear systems
- Remarks on non controllability of the heat equation with memory
- Mobile Point Sensors and Actuators in the Controllability Theory of Partial Differential Equations
- GREEN FUNCTION METHOD FOR NONLINEAR SYSTEMS
- Green’s function approach in approximate controllability for nonlinear physical processes
- Exact and Approximate Controllability for Distributed Parameter Systems
This page was built for publication: Exact and approximate controllability of nonlinear dynamic systems in infinite time: The Green's function approach
