On Concepts of Controllability for Deterministic and Stochastic Systems

DOI10.1137/S036301299732184XzbMath0940.93013MaRDI QIDQ4699148

Agamirza E. Bashirov, Nazim Idris Mahmudov

Publication date: 23 November 1999

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

zbMATH Keywords

controllabilitydistributed parameter systemsinfinite-dimensional control systemoperator Riccati equationstochastic control systems

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Linear systems in control theory (93C05) Control/observation systems in abstract spaces (93C25) Stochastic systems in control theory (general) (93E03)

Related Items

Approximate controllability of non-autonomous second-order evolution hemivariational inequalities with nonlocal conditions ⋮ Controllability of semilinear neutral stochastic integrodifferential evolution systems with fractional Brownian motion ⋮ Approximate controllability of a semi-linear neutral evolution system with infinite delay ⋮ Controllability results for second-order integro-differential equations with state-dependent delay ⋮ Approximate controllability for weighted semilinear Riemann-Liouville fractional differential systems with infinite delay ⋮ Approximate controllability analysis of impulsive neutral functional hemivariational inequalities ⋮ Approximate controllability of second-order impulsive neutral stochastic differential equations with state-dependent delay and Poisson jumps ⋮ Approximate controllability for a stochastic elastic system with structural damping and infinite delay ⋮ Approximate controllability of nonautonomous second-order nonlocal measure driven systems with state-dependent delay ⋮ Approximate controllability for semilinear second-order neutral evolution equations with infinite delay ⋮ The Partial Controllability of Linear Stochastic Control Systems with Terminal Constraints and Its Applications to Game-Based Control Systems with Jumps ⋮ Approximate controllability of non-instantaneous impulsive stochastic integrodifferential equations driven by Rosenblatt process via resolvent operators ⋮ Results on approximate controllability of Sobolev type fractional stochastic evolution hemivariational inequalities ⋮ Finite-approximate controllability of impulsive fractional functional evolution equations of order \(1<\alpha <2\) ⋮ Approximate controllability for Hilfer fractional stochastic evolution inclusion with nonlocal conditions ⋮ Rothe's fixed point theorem and the approximate controllability of semilinear heat equation with impulses, delays, and nonlocal conditions ⋮ Approximate controllability for second-order stochastic neutral evolution equations with infinite delay ⋮ Approximate controllability of time‐varying measure differential problem of second order with state‐dependent delay and noninstantaneous impulses ⋮ An investigation on the existence and approximate controllability of neutral stochastic hemivariational inequalities ⋮ Unnamed Item ⋮ On the partial controllability of SDEs and the exact controllability of FBSDES ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Approximate controllability for semilinear second-order stochastic evolution systems with infinite delay ⋮ APPROXIMATE CONTROLLABILITY OF SECOND-ORDER IMPULSIVE STOCHASTIC DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY ⋮ The Banach Spaces and with Application to the Approximate Controllability of Stochastic Partial Functional Differential Equations with Infinite Delay ⋮ Stochastic Controllability of Linear Systems With State Delays ⋮ Control problems for semi-linear retarded integro-differential equations by the Fredholm theory ⋮ Controllability of linear stochastic systems in Hilbert spaces ⋮ Approximate controllability for a semilinear evolution system with infinite delay ⋮ Unnamed Item ⋮ Abstract Second-Order Damped McKean-Vlasov Stochastic Evolution Equations ⋮ Controllability of Nonlinear Stochastic Fractional Integrodifferential Systems in Hilbert Spaces ⋮ Approximate controllability of semilinear neutral evolution systems with delay ⋮ Remarks on the controllability of fractional differential equations ⋮ Approximate Controllability of Second-Order Systems with State-Dependent Delay ⋮ APPROXIMATE CONTROLLABILITY OF SECOND-ORDER SEMILINEAR EVOLUTION SYSTEMS WITH STATE-DEPENDENT INFINITE DELAY ⋮ On partialS-controllability of semilinear partially observable systems ⋮ Approximate controllability of second order impulsive systems with state-dependent delay in Banach spaces ⋮ Approximate controllability of neutral functional differential systems with state-dependent delay ⋮ Approximate controllability of fractional stochastic evolution equations with nonlocal conditions ⋮ Controllability of a backward fractional semilinear differential equation ⋮ Approximate controllability of semi-linear neutral integro-differential systems with finite delay ⋮ Approximate controllability of fractional delay dynamic inclusions with nonlocal control conditions ⋮ Time-varying integro-differential inclusions with Clarke sub-differential and non-local initial conditions: existence and approximate controllability ⋮ Fundamental solutions for semi-linear neutral retarded integro-differential systems and applications to control problems ⋮ Existence and controllability for fractional evolution inclusions of Clarke's subdifferential type ⋮ Approximate controllability of fractional evolution inclusions with damping ⋮ Stochastic controllability and minimum energy control of systems with multiple delays in control ⋮ Approximate controllability of discrete semilinear systems and applications ⋮ Schauder's fixed-point theorem in approximate controllability problems ⋮ Approximate controllability of semilinear non-autonomous evolutionary systems with nonlocal conditions ⋮ Exact null controllability of semilinear evolution systems ⋮ Approximate Controllability for Nonlinear Evolution Hemivariational Inequalities in Hilbert Spaces ⋮ Topological Properties of Solution Sets for Hilfer Fractional Nonlocal Delay Control Systems and Applications ⋮ Results on exact controllability of second-order semilinear control system in Hilbert spaces ⋮ Controllability of nonlinear impulsive Ito type stochastic systems ⋮ Approximate controllability for a semilinear stochastic evolution system with infinite delay in \(L_p\) space ⋮ Approximate controllability of fractional Sobolev-type evolution equations in Banach spaces ⋮ Approximate controllability of fractional neutral evolution equations in Banach spaces ⋮ A characterization of semilinear dense range operators and applications ⋮ Optimal feedback control and controllability for hyperbolic evolution inclusions of Clarke's subdifferential type ⋮ Approximate controllability of nonlinear stochastic impulsive integrodifferential systems in Hilbert spaces ⋮ Controllability of nonlinear stochastic fractional neutral systems with multiple time varying delays in control ⋮ Relative controllability of stochastic nonlinear systems with delay in control ⋮ Controllability of the strongly damped wave equation with impulses and delay ⋮ Sobolev-type fractional stochastic integrodifferential equations with nonlocal conditions in Hilbert space ⋮ Approximate controllability of semilinear non-autonomous evolution systems with state-dependent delay ⋮ Approximate controllability of semilinear system involving state-dependent delay via fundamental solution ⋮ Approximate controllability of semilinear partial functional differential systems ⋮ Controllability of the impulsive functional BBM equation with nonlinear term involving spatial derivative ⋮ Approximate controllability of second-order non-autonomous system with finite delay ⋮ Approximate controllability of second-order neutral stochastic differential equations with infinite delay and Poisson jumps ⋮ Controllability of the impulsive semilinear heat equation with memory and delay ⋮ APPROXIMATE CONTROLLABILITY OF SECOND ORDER IMPULSIVE FUNCTIONAL DIFFERENTIAL SYSTEM WITH INFINITE DELAY IN BANACH SPACES ⋮ On the approximate controllability of second-order evolution hemivariational inequalities ⋮ Controllability of semilinear stochastic systems in Hilbert spaces. ⋮ Approximate controllability of some nonlinear systems in Banach spaces ⋮ On the approximate controllability of semilinear fractional differential systems ⋮ Approximate controllability for neutral impulsive differential inclusions with nonlocal conditions ⋮ Approximate controllability for a class of hemivariational inequalities ⋮ Approximate controllability of impulsive Hilfer fractional differential inclusions ⋮ Approximate controllability for stochastic evolution inclusions of Clarke's subdifferential type ⋮ Approximate controllability of impulsive Riemann-Liouville fractional equations in Banach spaces ⋮ On the approximate controllability of fractional evolution equations with generalized Riemann-Liouville fractional derivative ⋮ On approximate controllability of functional impulsive evolution inclusions in a Hilbert space ⋮ Approximate controllability of fractional neutral stochastic evolution equations in Hilbert spaces with fractional Brownian motion ⋮ Approximate controllability of evolution systems with nonlocal conditions ⋮ Approximate controllability for a class of second-order stochastic evolution inclusions of Clarke's subdifferential type ⋮ On the controllability of conformable fractional deterministic control systems in finite dimensional spaces ⋮ Approximate controllability of nonlinear impulsive differential systems ⋮ Stochastic fractional perturbed control systems with fractional Brownian motion and Sobolev stochastic non local conditions ⋮ Approximate controllability of fractional integro-differential equations involving nonlocal initial conditions ⋮ On the approximate controllability of fractional evolution equations with compact analytic semigroup ⋮ Approximate controllability for systems governed by nonlinear Volterra type equations ⋮ Approximate controllability of Sobolev type nonlocal fractional stochastic dynamic systems in Hilbert spaces ⋮ On partial complete controllability of semilinear systems ⋮ Approximate controllability of second-order stochastic differential systems driven by a Lévy process ⋮ S-Controllability of an Abstract First Order Semilinear Control System ⋮ Trajectory controllability of the nonlinear systems governed by fractional differential equations ⋮ Robustness of the controllability for the heat equation under the influence of multiple impulses and delays ⋮ Partial controllability of stochastic linear systems ⋮ Approximate controllability of nonlinear stochastic partial differential systems with infinite delay ⋮ Approximate controllability of impulsive partial neutral stochastic functional integro-differential inclusions with infinite delay ⋮ Approximate controllability of semi-linear neutral integro-differential equations with nonlocal conditions ⋮ Approximate controllability of second-order semilinear evolution systems with finite delay ⋮ Approximate controllability of abstract semilinear stochastic control systems with nonlocal conditions ⋮ Approximate controllability of semilinear stochastic system with multiple delays in control ⋮ Controllability of nonlinear stochastic neutral fractional dynamical systems ⋮ Controllability of Semilinear Systems of Parabolic Equations with Delay on the State ⋮ Existence and approximate controllability of non-autonomous functional impulsive evolution inclusions in Banach spaces ⋮ Controllability of fractional stochastic evolution equations with nonlocal conditions and noncompact semigroups ⋮ Controllability of non-linear impulsive stochastic systems ⋮ On controllability of second order nonlinear impulsive differential systems ⋮ Stochastic Controllability of Systems with Multiple Delays in Control ⋮ Approximate controllability of the non-autonomous impulsive evolution equation with state-dependent delay in Banach spaces ⋮ Approximate controllability of a non-autonomous evolution equation in Banach spaces ⋮ Approximate controllability of impulsive neutral stochastic functional differential system with state-dependent delay in Hilbert spaces ⋮ Approximate controllability of impulsive semilinear stochastic system with delay in state ⋮ Approximate controllability of a Sobolev type impulsive functional evolution system in Banach spaces ⋮ Approximate controllability for impulsive Riemann-Liouville fractional differential inclusions ⋮ Approximate controllability via resolvent operators of Sobolev-type fractional stochastic integrodifferential equations with fractional Brownian motion and Poisson jumps ⋮ Partial observability of stochastic semilinear systems ⋮ Unnamed Item ⋮ Approximate controllability for a new class of stochastic functional differential inclusions with infinite delay ⋮ On the approximate controllability for some impulsive fractional evolution hemivariational inequalities ⋮ Partial-approximate controllability of nonlocal fractional evolution equations via approximating method ⋮ Partial controllability concepts ⋮ Delay structure of wideband noises with application to filtering problems ⋮ New discussion regarding approximate controllability for Sobolev-type fractional stochastic hemivariational inequalities of order \(r\in(1,2)\) ⋮ Robust controllability of linear stochastic uncertain systems ⋮ Approximate controllability of semilinear functional equations in Hilbert spaces ⋮ Approximate controllability of fractional nonlocal delay semilinear systems in Hilbert spaces ⋮ Unnamed Item ⋮ Approximate controllability of stochastic differential systems driven by a Lévy process ⋮ Controllability of neutral stochastic evolution equations driven by fBm with Hurst parameter less than 1/2 ⋮ The controllability of damped fractional differential system with impulses and state delay ⋮ Approximate controllability for semilinear composite fractional relaxation equations