Geodesic

Sommaire du Fascicule no. 1

Dynamical systems: modeling, optimization, and control

Yurii Sergeevich Osipov (on the occasion of his 70th birthday)
p. 3-5
The Pontryagin Maximum Principle 50~years later
p. 6-14
Statistics and classification of topologies of periodic functions and trigonometric polynomials
p. 15-24
On the fall of a~heavy rigid body in an ideal fluid
p. 25-47
Methods for solving unstable equilibrium programming problems with coupled variables
p. 48-63
Approximation of nonsmooth solutions of linear ill-posed problems
p. 64-77
On the theory of three-person differential games
p. 78-85
Direct-dual Fej\'er methods for problems of quadratic programming
p. 86-97
Asymptotics of the solution to a~differential equation with a~small parameter in the case of two limit solutions
p. 98-108
Buffer phenomenon in systems close to two-dimensional Hamiltonian ones
p. 109-141
One problem on stable tracking of motion
p. 142-156
Dynamical state reconstruction and guaranteeing control for a~system of parabolic equations
p. 157-172
Comparison principle for equations of the Hamilton--Jacobi type in control theory
p. 173-183
Adjoint equations and their applications
p. 184-195
Dynamically Stable Cooperative Solutions in Randomly Furcating Differential Games
p. 196-207
A~numerical method for the minimax solution of the Bellman equation in the Cauchy problem with additional restrictions
p. 208-215
Nonsequential approximate solutions in abstract problems of attainability
p. 216-241
Optimization of the motion in a~resistant medium of a~body with a~movable internal mass
p. 242-248

Sommaire du Fascicule no. 2

Control, stability, and inverse problems of dynamics

Some algorithms of optimal control
p. 3-17
On asymptotic accuracy in $L_1$ of a~dynamical algorithm for reconstructing a~disturbance
p. 18-26
Optimal guaranteed control of delay systems
p. 27-46
Asymptotic estimation of states of linear nonautonomous systems with scalar output
p. 47-52
Identification of the state of a~moving object by observation of geophysical fields
p. 53-63
Error bounds for attainability sets of control systems with phase constraints
p. 64-77
Application of self-adjoint boundary value problems to investigation of stability of periodic delay systems
p. 78-87
Reconstruction of boundary regimes in the inverse problem of thermal convection of a~high-viscosity fluid
p. 88-97
Analysis of stability and synthesis of stable control systems for a~class of nonlinear nonstationary systems
p. 98-107
Differential inequalities for a~nonsmooth value functional in control systems with an aftereffect
p. 108-118
Estimates of the convergence rate for a~dynamical reconstruction algorithm
p. 119-128
Necessary optimality conditions for different phase portraits in a~neigh-borhood of a~singular arc
p. 129-141
Investigation of some control models
p. 142-151
Estimate of solution stability in a~two-dimensional inverse problem for elasticity equations
p. 152-161
Regularized traces of discrete operators
p. 162-177
The stability defect of sets in game control problems
p. 178-194
Approximation by local $L$-splines corresponding to a~linear differential operator of the second order
p. 195-213