Exponential stability and stabilization of fractional stochastic degenerate evolution equations in a Hilbert space: subordination principle
DOI10.3934/eect.2022008OpenAlexW4212845162WikidataQ115483495 ScholiaQ115483495MaRDI QIDQ2085627
Arzu Ahmadova, Nazim Idris Mahmudov, Juan. J. Nieto
Publication date: 18 October 2022
Published in: Evolution Equations and Control Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/eect.2022008
stabilitystabilizationsemigroup theoryfractional stochastic differential equationssubordination principlestochastic degenerate evolution equations
Applications of stochastic analysis (to PDEs, etc.) (60H30) Evolution inclusions (34G25) Stochastic stability in control theory (93E15) Control/observation systems in abstract spaces (93C25) Exponential stability (93D23)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Infinite horizon linear quadratic optimal control for stochastic difference time-delay systems
- Linear port-Hamiltonian systems on infinite-dimensional spaces.
- Existence of mild solutions for fractional integrodifferential equations of Sobolev type with nonlocal conditions
- A subordination principle on Wright functions and regularized resolvent families
- Stochastic linear quadratic optimal control with constraint for discrete-time systems
- On fractional impulsive equations of Sobolev type with nonlocal condition in Banach spaces
- A generalized Gronwall inequality and its application to a fractional differential equation
- Stochastic functional differential equations of Sobolev-type with infinite delay
- On the stabilizability problem in Banach space
- Infinite dimensional linear systems theory
- Open-loop stabilizability of infinite-dimensional systems
- Stability and stabilization of infinite dimensional systems with applications
- On stabilizability and exact observability of stochastic systems with their applications.
- Well-posedness and stability results for nonlinear abstract evolution equations with time delays
- A survey on fuzzy fractional differential and optimal control nonlocal evolution equations
- \(H_\infty\) control for stochastic systems with Poisson jumps
- Controllability of fractional functional evolution equations of Sobolev type via characteristic solution operators
- Existence and uniqueness results for a class of fractional stochastic neutral differential equations
- Subordination principle for fractional diffusion-wave equations of Sobolev type
- Spectral criteria for solvability of boundary value problems and positivity of solutions of time-fractional differential equations
- Necessary first-order and second-order optimality conditions in discrete-time stochastic systems
- Stabilization to an equilibrium of the Navier-Stokes equations with tangential action of feedback controllers
- Controllability of Sobolev type fractional evolution systems
- Trivariate Mittag-Leffler functions used to solve multi-order systems of fractional differential equations
- Explicit analytical solutions of incommensurate fractional differential equation systems
- Multivariate analogue of generalized Mittag-Leffler function
- Exponential stability of stochastic differential delay equations
- Stability and Stabilizability of Infinite-Dimensional Systems
- One-Parameter Semigroups for Linear Evolution Equations
- Linear matrix inequalities, Riccati equations, and indefinite stochastic linear quadratic controls
- Stabilization of stochastic nonlinear systems driven by noise of unknown covariance
- Study of fractional order impulsive evolution problem under nonlocal Cauchy conditions
- Mittag-Leffler Functions, Related Topics and Applications
- Stochastic differential equations. An introduction with applications.
- Abstract degenerate Cauchy problems in locally convex spaces
This page was built for publication: Exponential stability and stabilization of fractional stochastic degenerate evolution equations in a Hilbert space: subordination principle