economists were interested in economic stabilization policies as early as the 1930’s but the formal applications of stability theory from the classical control theory to economic analysis appeared in the early 1950’s when a number of control engineers actively collaborated with economists on economic stability and feedback mechanisms. the theory of optimal control resulting from the contributio...

in this research, an innovative numerical simulating approach for time domain analysis of multi degrees of freedom structures with uncertainty in dynamic properties is presented. a full scale finite element model of multi-story and multi bays of three sample structures has been constructed. the reduced order model of structure with holding the dominant and effective gramians in the balanced sta...

A linear quadratic optimal stochastic control problem with random coefficients and indefinite state/control weight costs is usually linked to an indefinite stochastic Riccati equation (SRE), which is a matrix-valued quadratic backward stochastic differential equation along with an algebraic constraint involving the unknown. Either the optimal control problem or the SRE is solvable only if the g...

We provide a short and elementary proof for the recently proved result by G. da Prato and H. Frankowska that – under minimal assumptions – a closed set is invariant with respect to a stochastic control system if and only if it is invariant with respect to the (associated) deterministic control system.

We consider the necessary conditions for backward doubly stochastic control system, via the second-order Taylor expansion we have obtained. All the results are got under no restriction on the convexity of control domain and the diffusion coefficient does not contain the control variable.

We consider investment problems where an investor can invest in a savings account, stocks and bonds and tries to maximize her utility from terminal wealth. In contrast to the classical Merton problem we assume a stochastic interest rate. To solve the corresponding control problems it is necessary to prove a veri cation theorem without the usual Lipschitz assumptions.

In this paper, we examine the research and results of dynamic pricing policies and their relation to revenue management. The survey is based on a generic revenue management problem in which a perishable and nonrenewable set of resources satisfy stochastic pricesensitive demand processes over a finite period of time. In this class of problems, the owner (or the seller) of these resources uses th...