Reachability and stability of invariant set of a system of stochastic differential equations
One investigates questions of attainability and stability of an invariant set of a linear system of stochastic differential equations for the corresponding nonlinear system. Conditions, under which stability in probability is possible, are singled out.
Saved in:
| Date: | 1992 |
|---|---|
| Main Authors: | Denisova , I. Yu., Денисова , И. Ю. |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7903 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
External Ellipsoidal Approximation of Reachable Sets of Dynamic Systems
by: N. A. Babij, et al.
Published: (2014)
by: N. A. Babij, et al.
Published: (2014)
Estimation of the Reachable Set for the Problem of Vibrating Kirchhoff Plate
by: Zuev, A. L., et al.
Published: (2014)
by: Zuev, A. L., et al.
Published: (2014)
On the stability of invariant sets of a system of autonomous differential equations under constantly acting perturbations
by: Ignat'ev, A. O., et al.
Published: (1999)
by: Ignat'ev, A. O., et al.
Published: (1999)
Estimation of the Reachable Set for the Problem of Vibrating Kirchhoff Plate
by: A. L. Zuev, et al.
Published: (2014)
by: A. L. Zuev, et al.
Published: (2014)
On invariant sets of differential equations with impulses
by: Tkachenko, V. I.
Published: (1999)
by: Tkachenko, V. I.
Published: (1999)
On the Stability of Invariant Sets of Discontinuous Dynamical Systems
by: Perestyuk, N. A., et al.
Published: (2001)
by: Perestyuk, N. A., et al.
Published: (2001)
Reachability and Controllability Problems for the Heat Equation on a Half-Axis
by: L. Fardigola, et al.
Published: (2019)
by: L. Fardigola, et al.
Published: (2019)
Green–Samoilenko operator in the theory of invariant sets of nonlinear differential equations
by: Perestyuk, N. A., et al.
Published: (2009)
by: Perestyuk, N. A., et al.
Published: (2009)
Investigation of Invariant Sets of Itô Stochastic Systems with the Use of Lyapunov Functions
by: Stanzhitskii, A. N., et al.
Published: (2001)
by: Stanzhitskii, A. N., et al.
Published: (2001)
Stochastic stability of a class of partial differential equations of thermoelasticity
by: Krol, M.
Published: (2008)
by: Krol, M.
Published: (2008)
Asymptotic stability of solutions of systems of stochastic differential equations in the critical case
by: Yurchenko, I. V., et al.
Published: (1995)
by: Yurchenko, I. V., et al.
Published: (1995)
On invariant tori of stochastic systems on a plane
by: Kopas', I. N., et al.
Published: (1996)
by: Kopas', I. N., et al.
Published: (1996)
On Stability of Solutions of a Stochastic Equation
by: Dorogovtsev, A. Ya., et al.
Published: (2004)
by: Dorogovtsev, A. Ya., et al.
Published: (2004)
On the construction of a set of stochastic differential equations on the basis of a given integral manifold independent of velocities
by: Azhymbaev, D. T., et al.
Published: (2010)
by: Azhymbaev, D. T., et al.
Published: (2010)
Stochastic Stability of Processes Determined by Poisson Differential Equations with Delay
by: Svishchuk, A. V., et al.
Published: (2002)
by: Svishchuk, A. V., et al.
Published: (2002)
Invariance of solutions of the set of regularized equations
by: A. A. Martynjuk
Published: (2017)
by: A. A. Martynjuk
Published: (2017)
On Stability of Integral Sets of Impulsive Differential Systems
by: Perestyuk, N. A., et al.
Published: (2002)
by: Perestyuk, N. A., et al.
Published: (2002)
On the stability of solutions of stochastic differential inclusions
by: Kravets, T. N., et al.
Published: (1995)
by: Kravets, T. N., et al.
Published: (1995)
Mean-square asymptotic stability of solutions of systems of stochastic differential equations with random operators
by: Yurchenko, I. V., et al.
Published: (1995)
by: Yurchenko, I. V., et al.
Published: (1995)
On Invariant Tori of Itô Stochastic Systems
by: Samoilenko, A. M., et al.
Published: (2002)
by: Samoilenko, A. M., et al.
Published: (2002)
Certain problems of existence of invariant toroidal sets in the systems of difference equations
by: Pankov , V. G., et al.
Published: (1988)
by: Pankov , V. G., et al.
Published: (1988)
On invariant tori of countable systems of differential equations with delay
by: Elnazarov, A. A., et al.
Published: (1999)
by: Elnazarov, A. A., et al.
Published: (1999)
Stability with probability I for solutions of linear stochastic differential-difference Ito’s equations
by: Zelentsovsky , A. L., et al.
Published: (2025)
by: Zelentsovsky , A. L., et al.
Published: (2025)
Limit theorem for coiuntable systems of stochastic differential
equations
by: Pilipenko, A. Yu., et al.
Published: (2016)
by: Pilipenko, A. Yu., et al.
Published: (2016)
On Extendability of Solutions of Differential Equations to a Singular Set
by: Kaplun, Yu. I., et al.
Published: (2003)
by: Kaplun, Yu. I., et al.
Published: (2003)
Limit theorem for coiuntable systems of stochastic differential equations
by: Yu. Pylypenko, et al.
Published: (2016)
by: Yu. Pylypenko, et al.
Published: (2016)
Stochastic differential equations on imbedded manifolds
by: Gikhman, I. I., et al.
Published: (1995)
by: Gikhman, I. I., et al.
Published: (1995)
Optimization sets the initial values in the integral moment stability for linear stochastic equations in Hilbert space
by: A. V. Nikitin
Published: (2014)
by: A. V. Nikitin
Published: (2014)
On invariant torus of weakly connected systems of differential equations
by: Elnazarov, A.
Published: (2005)
by: Elnazarov, A.
Published: (2005)
Invariant tori of differential equations in a Banach space
by: Ilolov, M., et al.
Published: (1998)
by: Ilolov, M., et al.
Published: (1998)
Weak invariance principle for solutions of stochastic recurrence equations in a banach space
by: Koval, V. A., et al.
Published: (1995)
by: Koval, V. A., et al.
Published: (1995)
On the stability of trajectories of a set of difference equations
by: A. A. Martynjuk
Published: (2014)
by: A. A. Martynjuk
Published: (2014)
Stochastic differential equation in a random environment
by: Ja. Makhno, et al.
Published: (2017)
by: Ja. Makhno, et al.
Published: (2017)
Qualitative Analysis of Systems of Itô Stochastic Differential Equations
by: Kulinich, G. L., et al.
Published: (2000)
by: Kulinich, G. L., et al.
Published: (2000)
The problem of stabilization of stochastic differential-functional equations with impulse Markovian indignations and eventual behind
by: V. I. Musurivskyi, et al.
Published: (2014)
by: V. I. Musurivskyi, et al.
Published: (2014)
The problem of stability of stochastic differential-functional equations with impulse Markovian indignations and eventual behind
by: V. I. Musurivskyi
Published: (2014)
by: V. I. Musurivskyi
Published: (2014)
On the stability of the solution of the linear autonomous stochastic partial differential equation with external random disturbances
by: V. K. Yasynskyi, et al.
Published: (2014)
by: V. K. Yasynskyi, et al.
Published: (2014)
Invariant relations for nonautonomous systems of differential equations with application in mechanics
by: A. M. Kovalev, et al.
Published: (2013)
by: A. M. Kovalev, et al.
Published: (2013)
Relationship between spectral and coefficient criteria of mean-square stability for systems of linear stochastic differential and difference equations
by: Korenevsky, D. G., et al.
Published: (2000)
by: Korenevsky, D. G., et al.
Published: (2000)
On invariance of some properties of solutions under perturbation of a pulse system of differential equations
by: Perestyuk, N. A., et al.
Published: (1994)
by: Perestyuk, N. A., et al.
Published: (1994)
Similar Items
-
External Ellipsoidal Approximation of Reachable Sets of Dynamic Systems
by: N. A. Babij, et al.
Published: (2014) -
Estimation of the Reachable Set for the Problem of Vibrating Kirchhoff Plate
by: Zuev, A. L., et al.
Published: (2014) -
On the stability of invariant sets of a system of autonomous differential equations under constantly acting perturbations
by: Ignat'ev, A. O., et al.
Published: (1999) -
Estimation of the Reachable Set for the Problem of Vibrating Kirchhoff Plate
by: A. L. Zuev, et al.
Published: (2014) -
On invariant sets of differential equations with impulses
by: Tkachenko, V. I.
Published: (1999)