This paper is devoted to the problem of partial asymptotic null-controllability of control sys-tems governed by ordinary differential equations,subjected to possibly mixed state-input con-straints.Using Lyapunov funct...This paper is devoted to the problem of partial asymptotic null-controllability of control sys-tems governed by ordinary differential equations,subjected to possibly mixed state-input con-straints.Using Lyapunov functions within the framework of viability theory,feedback controls are designed in such a way a part of system’s state can be driven to the origin asymptotically,taking into account the mixed constraints.By using Michael selection theorem,the existence of such controls is proved,in the case of convex constraints,and their expressions are given as continu-ous selections of an appropriate constructed multifunction.Finally,two examples are processed numerically in order to illustrate the theoretical results.展开更多
The article considers the controllability of a diffusion equation with fractional integro-differential expressions.We prove that the resulting equation is nullcontrollable in arbitrary small time.Our method reduces es...The article considers the controllability of a diffusion equation with fractional integro-differential expressions.We prove that the resulting equation is nullcontrollable in arbitrary small time.Our method reduces essentially to the study of classical moment problems.展开更多
文摘This paper is devoted to the problem of partial asymptotic null-controllability of control sys-tems governed by ordinary differential equations,subjected to possibly mixed state-input con-straints.Using Lyapunov functions within the framework of viability theory,feedback controls are designed in such a way a part of system’s state can be driven to the origin asymptotically,taking into account the mixed constraints.By using Michael selection theorem,the existence of such controls is proved,in the case of convex constraints,and their expressions are given as continu-ous selections of an appropriate constructed multifunction.Finally,two examples are processed numerically in order to illustrate the theoretical results.
基金Supported by National Natural Science Foundation of China(No.11261024).
文摘The article considers the controllability of a diffusion equation with fractional integro-differential expressions.We prove that the resulting equation is nullcontrollable in arbitrary small time.Our method reduces essentially to the study of classical moment problems.