Keywords: Nonlinear systems; Null controllability; Null controllable region; State feedback; Gronwall-type inequality; 93C10; 93D15; 93B05;
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Keywords: primary; 53C17; secondary; 58A30; 57R45; 93B05; Affine connection; Geodesic; Frontal; Open swallowtail;
Keywords: Approximately controllable system; Ill posed problem; Tikhonov regularization; Weighted Tikhonov regularization; Regularized control; 47A52; 93B05;
Keywords: 35K57; 93B05; 93B07; 93C20; Exact controllability to the trajectories; Monodomain equations; Moving controls; FitzHugh-Nagumo ionic model; Rogers-McCulloch ionic model; Heat equation with memory;
Keywords: 26A33; 26E50; 34A07; 34A08; 49J15; 49J45; 93B05; 93C25; Fuzzy fractional differential equations; Fractional evolution equations; Numerical solutions; Controllability; Optimal control; Nonlocal conditions;
Keywords: Multiple time varying delay in control; Stochastic fractional neutral systems; Controllability; Wiener process; Le´vy process; 93B05; 34A08; 60G51;
Keywords: 35K65; 93B05; 93B07; 34B25; Degenerate parabolic equations; Carleman estimates; Null controllability; Observability; Lipschitz stability; Heisenberg operator;
Keywords: stochastic evolution equations; fractional Brownian motion; controllability; 60H15; 60G15; 93E03; 93B05;
Keywords: 35L50; 93B05; First order quasilinear hyperbolic system; Exact internal controllability of nodal profile; Internal control;
Keywords: Infinite dimensional systems; Exact control; Approximation; Singular perturbation; 35L10; 65M60; 93B05; 93B40; 93D15;
Keywords: Approximate controllability; Degenerate equation; Boundary control; Convection term; 93B05; 93C20; 35K65;
Keywords: Approximate controllability; Multi-valued fractional impulsive stochastic partial integro-differential equations; Infinite delay; Analytic α-resolvent operator; Fixed point theorem34A37; 60H10; 34G25; 26A33; 93B05
Keywords: controllability; continuous dependence; fractional neutral integro-differential equations; state-dependent delay; resolvent operator; 34K05; 34K30; 26A33; 93B05;
Keywords: primary; 93B05; secondary; 93B07; 93C20; Stochastic partial differential equation; Controllability; Observability; Inverse problem; Global Carleman estimate;
Keywords: 93B05; 35K40; Impulse control; Approximate controllability; Null controllability; Systems of heat equations;
Keywords: 93B05; 93B07; 15B33; 15A22; 15A83Zero kernel pair; Matrix completion; Reachable pair; Observable pair; Unimodular matrix polynomial; Finite field
Keywords: approximate controllability; cosine family; state dependent delay; neutral stochastic differential equation; measure of noncompactness35R15; 35R60; 93B05; 93E03
Keywords: primary; 35B53; 35B60; 35L05; 58J45; 93B05; secondary; 35R30; 31B20; 58E25; Wave equation; Unique continuation property; Stability; Analysis on manifolds; Optimal control time;
Keywords: 93B05; 93C20Random evolution Partial Differential Equations; Averaged controllability; Averaged observability; Schrödinger equation; Heat equation
Keywords: 35K65; 93B05; 93B07Degenerate equation; Singular equation; Interior degeneracy; Interior singularity; Carleman estimates; Observability inequalities
Keywords: 05C50; 05C90; 34H05; 37N35; 47N70; 93B05; 93C05Controllability; Laplacian dynamics; Threshold graphs
Keywords: 93B05; 49L20; 49L25; Optimal control; Hamilton-Jacobi-Bellman equation; Vasicek model; Geometric Brownian motion; Interest rate; Short rate; Dividends;
Keywords: 35L10; 65M60; 93B05; 93B40; 93D15Controllability; Stabilizability; Fluid–particle; System; Burgers equation
Keywords: 34K50; 60H10; 93B05; 93E03Approximate boundary controllability; Contraction mapping principle; Hilbert space; Semigroup theory; Stochastic differential systems
Keywords: 05C50; 05C22; 05C38; 05C90; 34H05; 37N35; 47N70; 93B05; 93C15Network dynamical systems; Controllable systems; Leaders and followers; Core vertices; Eigenvectors; Graph automorphisms; Omnicontrollable graphs
Keywords: 93B05; 93C20; 35K65Approximate controllability; Degenerate equation; Boundary control
Keywords: 93C20; 93B05; 35Q30; 76N25Linearized compressible Navier–Stokes equations; Localized interior control; Null controllability; Ingham-type inequalities
Keywords: 93B05; 35K58; 35K65; 35K61; 35K45Approximate controllability; Bilinear control; Semilinear equations; Degenerate parabolic equations; Weighted Sobolev spaces
Keywords: 93C20; 93B05; 93B07; 35Q53; 35P20; Controllability to trajectories; Viscous Burgers equation; Series of exponentials; Observability; Biorthogonal;
Keywords: 93B05; 93C15; 93B10; Controllability; Quadratic expansion; Scalar-input; Obstruction; Small-time;
Faedo-Galerkin approximation of second order nonlinear differential equation with deviated argument
Keywords: Second order differential equation with deviated argument; Cosine family of linear operators; Faedo-Galerkin approximation; 34K35; 34K30; 93B05; 93C25;
Local null controllability of the N-dimensional Navier-Stokes system with nonlinear Navier-slip boundary conditions and Nâ¯ââ¯1 scalar controls
Keywords: 35Q30; 76D03; 93B05; 93C10; Navier-Stokes system; Null controllability; Carleman estimates; Navier-slip boundary conditions;
Asymptotic behavior of Boussinesq system of KdV-KdV type
Keywords: primary; 93B05; 93D15; 35Q53; Boussinesq system KdV-KdV type; Stabilization; Feedback integral transformation; Backstepping method;
Non-localization of eigenfunctions for Sturm-Liouville operators and applications
Keywords: 34B24; 49K15; 47A75; 49J20; 93B07; 93B05; Sturm-Liouville operators; Eigenfunctions; Extremal problems; Calculus of variations; Control theory; Wave equation;
Carleman estimates and null controllability for a degenerate population model
Keywords: 35K65; 92D25; 93B05; 93B07; Population equations; Degenerate equations; Carleman estimates; Observability inequalities;
Relative controllability of semilinear delay differential systems with linear parts defined by permutable matrices
Keywords: Relative controllability; Delay Grammian matrix; Delay differential systems; 39B72; 93B05;
Approximate controllability of semilinear Hilfer fractional differential inclusions with impulsive control inclusion conditions in Banach spaces
Keywords: Approximate controllability; Hilfer fractional differential inclusions; Multivalued maps; Semigroup theory; Fixed-point; Impulsive control inclusion conditions; 93B05; 26A33; 34A60; 93C10;
Null controllability for wave equations with memory
Keywords: 93B05; 74D05; 35L05; 93B07; Wave equations with memory; Memory-type null controllability; Moving control; Moving geometric control condition; Coupled PDE-ODE system;
A new global Carleman estimate for Cahn–Hilliard type equation and its applications
Keywords: 35K25; 35K35; 93B05; 93B07Global Carleman estimate; Cahn–Hilliard type equation; Unique Continuation Property; Null controllability
Exact synchronization by groups for a coupled system of wave equations with Dirichlet boundary controls
Keywords: 93B05; 93B07; 93C20; Exact boundary controllability; Exact boundary synchronization by groups; Compatibility condition; Coupled system of wave equations;
Local controllability of the stabilized Kuramoto–Sivashinsky system by a single control acting on the heat equation
Keywords: 35K55; 93B05; 93C10Parabolic system; Distributed control; Controllability to trajectories; Carleman inequalities
Indirect controllability of some linear parabolic systems of m equations with m − 1 controls involving coupling terms of zero or first order
Keywords: 93B05; 93B07; 35K40Controllability; Parabolic systems; Carleman estimates; Fictitious control method; Algebraic solvability
On the cost of null controllability of a fourth-order parabolic equation
Keywords: 35B25; 35K35; 93B05; 93B07; Fourth-order parabolic equation; Cost of null controllability; Boundary control; Uniform null controllability; Carleman estimates;
Null controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function
Keywords: 35K05; 93B05; 93B07Heat equation; Singular potential; Null controllability; Carleman estimates
A new global Carleman estimate for the one-dimensional Kuramoto–Sivashinsky equation and applications to exact controllability to the trajectories and an inverse problem
Keywords: 93B05; 35R30; 35K35; 93C10Carleman estimate; Kuramoto–Sivashinsky equation; Controllability; Inverse problem
2d Grushin-type equations: Minimal time and null controllable data
Keywords: 35K65; 93B05; 93B07; Grushin operator; Null controllability; Minimal time; Geometric control condition; Carleman estimates; Transmutation;
On the controllability of the relativistic Vlasov–Maxwell system
Keywords: 35Q83; 93B05; 82D10Vlasov–Maxwell system; Vlasov–Poisson system; Controllability; Return method
Local exact boundary controllability of 3D Navier–Stokes equations
Keywords: 76D05; 93B05; 93C20Navier–Stokes system; Local exact boundary controllability
On the exact controllability of hyperbolic magnetic Schrödinger equations
Keywords: 35A23; 35J25; 35L20; 35Q40; 35S11; 93B05; 93B07Hamiltonian operator; Pseudodifferential operators; Trace theorem; Energy conservation law; Observability inequality; Hilbert Uniqueness Method; Unique continuation theorem; Compactness–uniqueness argument
Carleman estimates for semi-discrete parabolic operators and application to the controllability of semi-linear semi-discrete parabolic equations
Keywords: 35K10; 35K58; 65M06; 93B05; 93B07Parabolic operator; Semi-discrete Carleman estimates; Observability; Null controllability; Semi-linear equations