On constrained stochastic controllability of dynamical systems with multiple delays in control
نویسندگان
چکیده
Linear, continuous stochastic dynamical systems with multiple delays in control are studied in the paper. Their relative stochastic controllability with constrained control is discussed. The definitions of various type of constrained relative and absolute stochastic controllability for linear systems with delays in control are introduced. Criteria of relative and absolute stochastic controllability with constrained control are established. Constraints on control values are considered. Mutual implications between constrained relative stochastic controllability of systems with and without delays are studied as well as implications between constrained relative and absolute stochastic controllability of systems with delay in control.
منابع مشابه
Bulletin of the Polish Academy of Sciences
Linear, continuous stochastic dynamical systems with multiple delays in control are studied in the paper. Their relative stochastic controllability with constrained control is discussed. The definitions of various type of constrained relative and absolute stochastic controllability for linear systems with delays in control are introduced. Criteria of relative and absolute stochastic controllabi...
متن کاملOn the Constrained Controllability of Dynamical Systems with Multiple Delays in the State
Linear stationary dynamical systems with multiple constant delays in the state are studied. Their relative and approximate controllability properties with constrained controls are discussed. Definitions of various types of controllability with constrained controls for systems with delays in the state are introduced. Some theorems concerning the relative and the approximate relative controllabil...
متن کاملConstrained controllability of semilinear systems with multiple delays in control
In the present paper finite-dimensional, stationary dynamical control systems described by semilinear ordinary differential state equations with multiple point delays in control are considered. Infinite-dimensional semilinear stationary dynamical control systems with single point delay in the control are also discussed. Using a generalized open mapping theorem, sufficient conditions for constra...
متن کاملControllability of Nonlinear Stochastic Systems with Multiple Time-Varying Delays in Control
This paper is concerned with the problem of controllability of semi-linear stochastic systems with time varying multiple delays in control in finite dimensional spaces. Sufficient conditions are established for the relative controllability of semilinear stochastic systems by using the Banach fixed point theorem. A numerical example is given to illustrate the application of the theoretical resul...
متن کاملStochastic Controllability of Systems with Multiple Delays in Control
Finite-dimensional stationary dynamic control systems described by linear stochastic ordinary differential state equations with multiple point delays in control are considered. Using the notation, theorems and methods used for deterministic controllability problems for linear dynamic systems with delays in control as well as necessary and sufficient conditions for various kinds of stochastic re...
متن کامل