Found 86 Documents (Results 1–86)
On the controllability of a system coupling Kuramoto-Sivashinsky-Korteweg-de Vries and transport equations. (English) Zbl 07927397
Approximate and exact controllability criteria for linear one-dimensional hyperbolic systems. (English) Zbl 1542.93035
Rapid stabilization of a degenerate parabolic equation using a backstepping approach: the case of a boundary control acting at the degeneracy. (English) Zbl 1542.93322
Feedback boundary control of multi-dimensional hyperbolic systems with relaxation. (English) Zbl 1542.93134
Global boundary null-controllability of one-dimensional semilinear heat equations. (English) Zbl 07893906
Null controllability of an ODE-heat system coupled at boundary and internal term. (English) Zbl 07879833
Event-triggered boundary control of an unstable reaction diffusion PDE with input delay. (English) Zbl 07878485
Neural operators of backstepping controller and observer gain functions for reaction-diffusion PDEs. (English) Zbl 1537.93342
Output finite-time stabilisation of a class of linear and bilinear control systems. (English) Zbl 1537.93655
Local exponential stabilization of Rogers-McCulloch and FitzHugh-Nagumo equations by the method of backstepping. (English) Zbl 1541.35275
Exponential decay of solutions of damped wave equations in one dimensional space in the lp framework for various boundary conditions. (English) Zbl 1541.35051
Prescribed-time constrained tracking control of a class of \(2\times 2\) hyperbolic PDE systems with actuator dynamics. (English) Zbl 1537.93351
Exact boundary controllability of nodal profile for the system of one-dimensional adiabatic flow. (English) Zbl 1537.93098
On the small-time local controllability of a KdV system for critical lengths. (English) Zbl 1535.93006
Simultaneous exact boundary controllability of final state and nodal profile for quasilinear hyperbolic systems. (English) Zbl 1533.93073
Exact internal controllability and exact internal synchronization for a kind of first order hyperbolic system. (English) Zbl 1536.93082
Input-to-state stability analysis of heat equation with boundary finite-time control. (English) Zbl 1530.93427
Exact boundary controllability of nodal profile for nonautonomous quasilinear hyperbolic systems. (English) Zbl 1532.35296
Local null controllability of the stabilized Kuramoto-Sivashinsky system using moment method. (English) Zbl 1534.93043
Finite-time stabilization of some classes of infinite dimensional systems. (English) Zbl 07916376
Ammari, Kaïs (ed.) et al., Control and inverse problems. The 2022 spring workshop in Monastir, Tunisia, May 9–11, 2022. Cham: Birkhäuser. Trends Math., 201-216 (2023).
Controllability problems for the heat equation with variable coefficients on a half-axis controlled by the Neumann boundary condition. (English) Zbl 1534.93041
Finite-time stabilization and Impulse control of heat equation with dynamic boundary conditions. (English) Zbl 1530.93441
Small-time local stabilization of the two-dimensional incompressible Navier-Stokes equations. (English) Zbl 1526.35264
Prescribed-time stabilisation for uncertain reaction-diffusion equations with Neumann boundary control. (English) Zbl 1521.93142
Reviewer: Savin Treanţă (Bucureşti)
Hautus-Yamamoto criteria for approximate and exact controllability of linear difference delay equations. (English) Zbl 1519.39001
Remarks on the controllability of parabolic systems with non-diagonalizable diffusion matrix. (English) Zbl 1520.93048
Boundary stabilization of one-dimensional cross-diffusion systems in a moving domain: linearized system. (English) Zbl 1507.93194
Prescribed-time stabilization of uncertain heat equation via boundary time-varying feedback and disturbance estimator. (English) Zbl 1505.93228
Lyapunov functions and finite-time stabilization in optimal time for homogeneous linear and quasilinear hyperbolic systems. (English) Zbl 1510.35053
Feedback controllability for blowup points of the heat equation. (English. French summary) Zbl 1503.35089
Fredholm transformation on Laplacian and rapid stabilization for the heat equation. (English) Zbl 1501.93034
Equivalent one-dimensional first-order linear hyperbolic systems and range of the minimal null control time with respect to the internal coupling matrix. (English) Zbl 1496.35245
Controllability problems for the heat equation with variable coefficients on a half-axis. (English) Zbl 1503.93012
Reviewer: Jin Liang (Shanghai)
Exact boundary synchronization for a kind of first order hyperbolic system. (English) Zbl 1492.93021
Boundary controllability of two coupled wave equations with space-time first-order coupling in 1-D. (English) Zbl 1487.35246
Internal rapid stabilization of a 1-D linear transport equation with a scalar feedback. (English) Zbl 1491.35388
Fixed-time stabilization of parabolic distributed parameter systems with spatially and temporally varying reactivity. (English) Zbl 1483.93487
A dependence of the cost of fast controls for the heat equation on the support of initial datum. (English) Zbl 1484.93003
Contributions to the problem of high-gain observer design for hyperbolic systems. (English) Zbl 1480.93161
Jiang, Zhong-Ping (ed.) et al., Trends in nonlinear and adaptive control. A tribute to Laurent Praly for his 65th birthday. Cham: Springer. Lect. Notes Control Inf. Sci. 488, 109-134 (2022).
Finite-time non-fragile boundary feedback control for a class of nonlinear parabolic systems. (English) Zbl 1517.93033
Null controllability and finite-time stabilization in minimal time of one-dimensional first-order \(2 \times 2\) linear hyperbolic systems. (English) Zbl 1479.35100
High-gain observer for \(3 \times 3\) linear heterodirectional hyperbolic systems. (English) Zbl 1478.93277
Null-controllability of linear hyperbolic systems in one dimensional space. (English) Zbl 1478.93052
Global exponential stability and input-to-state stability of semilinear hyperbolic systems for the \(L^2\) norm. (English) Zbl 1478.93544
Exact boundary controllability of weak solutions for a kind of first order hyperbolic system – the constructive method. (English) Zbl 1476.93081
Reviewer: Kaïs Ammari (Monastir)
A Fredholm transformation for the rapid stabilization of a degenerate parabolic equation. (English) Zbl 1472.93154
Minimum time observer designs for \(n+m\) linear hyperbolic systems with unilateral, bilateral or pointwise in-domain sensing. (English) Zbl 1472.93060
Exponential stability of density-velocity systems with boundary conditions and source term for the \(H^2\) norm. (English. French summary) Zbl 1473.35045
Small-time global stabilization of the viscous Burgers equation with three scalar controls. (English. French summary) Zbl 1467.93249
Boundary stabilizability of the linearized compressible Navier-Stokes system in one dimension by backstepping approach. (English) Zbl 1472.35269
BV exponential stability for systems of scalar conservation laws using saturated controls. (English) Zbl 1462.93005
Event-triggered boundary control of constant-parameter reaction-diffusion PDEs: a small-gain approach. (English) Zbl 1461.93304
Input-to-state stability in sup norms for hyperbolic systems with boundary disturbances. (English) Zbl 1461.93442
Minimal time for the exact controllability of one-dimensional first-order linear hyperbolic systems by one-sided boundary controls. (English. French summary) Zbl 1460.35223
Reviewer: Kaïs Ammari (Monastir)
Boundary stabilization in finite time of one-dimensional linear hyperbolic balance laws with coefficients depending on time and space. (English) Zbl 1454.35234
Null controllability and global blowup controllability of ordinary differential equations with feedback controls. (English) Zbl 1451.93024
Finite-time stabilization in optimal time of homogeneous quasilinear hyperbolic systems in one dimensional space. (English) Zbl 1470.93137
Reviewer: Yang Liu (Jinhua)
Semiglobal exponential stabilization of nonautonomous semilinear parabolic-like systems. (English) Zbl 1455.93169
Boundary feedback stabilization of quasilinear hyperbolic systems with partially dissipative structure. (English) Zbl 1454.93224
Prescribed-time estimation and output regulation of the linearized Schrödinger equation by backstepping. (English) Zbl 1451.93172
Observer-based finite-time output feedback control of heat equation with Neumann boundary condition. (English) Zbl 1448.93095
Asymptotic behavior of dispersive electromagnetic waves in bounded domains. (English) Zbl 1437.35087
Approximate and exact controllability of linear difference equations. (Contrôlabilité approchée et exacte d’équations aux différences linéaires.) (English. French summary) Zbl 1425.39002
Boundary stability of 1-D nonlinear inhomogeneous hyperbolic systems for the \(C^1\) norm. (English) Zbl 1437.35056
On the cost of observability in small times for the one-dimensional heat equation. (English) Zbl 1417.35051
On the finite-time Bhat-Bernstein feedbacks for the strings connected by point mass. (English) Zbl 1416.35261
Boundary time-varying feedbacks for fixed-time stabilization of constant-parameter reaction-diffusion systems. (English) Zbl 1415.93201
A quadratic Lyapunov function for Saint-Venant equations with arbitrary friction and space-varying slope. (English) Zbl 1411.93154
Optimal time for the controllability of linear hyperbolic systems in one-dimensional space. (English) Zbl 1418.35259
Reviewer: Vyacheslav I. Maksimov (Ekaterinburg)
Exponential boundary feedback stabilization of a shock steady state for the inviscid Burgers equation. (English) Zbl 1418.35265
Reviewer: Vyacheslav I. Maksimov (Ekaterinburg)
Boundary exponential stabilization of 1-dimensional inhomogeneous quasi-linear hyperbolic systems. (English) Zbl 1409.93054
A spectral inequality for degenerate operators and applications. (Une inégalité spectrale pour les opérateurs dégénérés et applications.) (English. French summary) Zbl 1468.93088
On the reachable set for the one-dimensional heat equation. (English) Zbl 1391.35171
Reviewer: Marius Ghergu (Dublin)
Linearized stability of partial differential equations with application to stabilization of the Kuramoto-Sivashinsky equation. (English) Zbl 1387.35045
Preface: Special issue in honor of Jean-Michel Coron for his 60th birthday. (English) Zbl 1354.01018
Stability estimates in the problem of cloaking material bodies for Maxwell’s equations. (English. Russian original) Zbl 1326.49031
Comput. Math. Math. Phys. 54, No. 12, 1788-1803 (2014); translation from Zh. Vychisl. Mat. Mat. Fiz. 54, No. 12, 1863-1878 (2014).
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