Mathematical problems in modeling artificial heart.
Generalized functionals of Brownian motion.
A class of singularly perturbed evolution systems.
An existence theorem for differential inclusions on Banach space.
Nonlinear evolution equations on Banach space.
Necessary conditions of optimality for infinite dimensional uncertain systems.
Identification of linear stochastic systems based on partial information.
Optimal boundary control of distributed systems involving dynamic boundary conditions.
Stability of suspension bridge. I: Aerodynamic and structural damping.
Torsional and longitudinal vibration of suspension bridge subject to aerodynamic forces.
Suboptimal RED feedback control for buffered TCP flow dynamics in computer network.
Suboptimal feedback control of TCP flows in computer network using random early discard (RED) mechanism.
A dynamic model for crime control and policy evaluation.
Real-time feedback control of computer network based on predicted state estimation.
Optimum feedback strategy for access control mechanism modelled as stochastic differential equation in computer network.
On invariant measures of nonlinear Markov processes.
Optimal control of nonlinear second order evolution equations.
Admissible relaxation in optimal control problems for infinite dimensional uncertain systems.
Vector and operator valued measures as controls for infinite dimensional systems: optimal control
In this paper we consider a general class of systems determined by operator valued measures which are assumed to be countably additive in the strong operator topology. This replaces our previous assumption of countable additivity in the uniform operator topology by the weaker assumption. Under the relaxed assumption plus an additional assumption requiring the existence of a dominating measure, we prove some results on existence of solutions and their regularity properties both for linear and semilinear...
Topological dual of with application to stochastic systems on Hilbert space
In this paper, we prove that the topological dual of the Banach space of bounded measurable functions with values in the space of nuclear operators, furnished with the natural topology, is isometrically isomorphic to the space of finitely additive linear operator-valued measures having bounded variation in a Banach space containing the space of bounded linear operators. This is then applied to a stochastic structural control problem. An optimal operator-valued measure, considered as the structural...
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