Discusses inverse problems arising in the estimation and control of distributed parameter systems. This text also considers the applications of these techniques to mathematical modelling for problems of applied system analysis including technological and enviromental issues.

Tracking property: A viability approach.- Extensions and global estimates for evolutionary discrete control systems.- Controlling the dynamics of scalar reaction diffusion equations by finite dimensional controllers.- Estimation of catalyst pellet activity distribution.- Some remarks on the periodic linear quadratic regulator problem.- Infinite dimensional control problems with state constraints.- Approximate and numerical methods of the optimal control synthesis for stochastic systems.- Convergence rates for regularized nonlinear illposed problems.- On inverse problems for evolutionary systems: Guaranteed estimates and regularized solutions.- Exponential stabilization, via Riccati operator, of hyperbolic systems with uncontrolled, unbounded perturbations.- Some two-dimensional boundary shape optimization problems for distributed parameter systems.- Inverse problem of dynamics for systems described by parabolic inequality.- Sensitivity analysis of shallow shell with obstacle.- A note on an interaction between penalization and discretization.- Problems of mathematical modelling of nonlinear processes.- Some results concerning free boundary problems solved by domain (or shape) optimization of energy.

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