About robust stability of Caputo linear fractional dynamic systems with time delays through fixed point theory
From MaRDI portal
Publication:537111
DOI10.1155/2011/867932zbMath1219.34102arXiv1010.3204OpenAlexW2080218678WikidataQ57675146 ScholiaQ57675146MaRDI QIDQ537111
Publication date: 19 May 2011
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.3204
Stability theory of functional-differential equations (34K20) Linear functional-differential equations (34K06) Control problems for functional-differential equations (34K35) Applications of operator theory to differential and integral equations (47N20) Functional-differential equations with fractional derivatives (34K37)
Related Items
A coupled fixed point theorem and application to fractional hybrid differential problems, Similarities in a fifth-order evolution equation with and with no singular kernel, On a cyclic Jungck modified \(TS\)-iterative procedure with application examples, Convergence analysis of a numerical scheme for two classes of non-linear fractional differential equations, Delay-dependent consensus criteria for fractional-order Takagi-Sugeno fuzzy multi-agent systems with time delay, On contractive cyclic fuzzy maps in metric spaces and some related results on fuzzy best proximity points and fuzzy fixed points, Results on proximal and generalized weak proximal contractions including the case of iteration-dependent range sets, About periodicity of impulsive evolution equations through fixed point theory, Stability results for the linear degenerate fractional differential system, Extension of Lyapunov direct method about the fractional nonautonomous systems with order lying in \((1,2)\), Asymptotic stability and stabilization of a class of nonautonomous fractional order systems, Consensus analysis of fractional-order multiagent systems with double-integrator, Fixed point-type results for a class of extended cyclic self-mappings under three general weak contractive conditions of rational type, A stability criterion for fractional-order complex-valued differential equations with distributed delays, Impulsive effects on fractional order time delayed gene regulatory networks: asymptotic stability analysis, Finite-time synchronization of fractional-order memristor-based neural networks with time delays, Stability and stabilization for a class of semilinear fractional differential systems, Novel methods to finite-time Mittag-Leffler synchronization problem of fractional-order quaternion-valued neural networks, Finite-time stability of a class of nonlinear fractional-order system with the discrete time delay, Fractional-based stochastic gradient algorithms for time-delayed ARX models, Finite-time stability of fractional-order fuzzy cellular neural networks with time delays, Some remarks on estimate of Mittag-Leffler function, Existence of mild solutions for a class of fractional evolution equations with compact analytic semigroup, Containment control for fractional order MASs with nonlinearity and time delay via pull-based event-triggered mechanism, FDM for fractional parabolic equations with the Neumann condition, Asymptotic behavior of fractional-order nonlinear systems with two different derivatives, A fixed point analysis of multiple information coevolution spreading on social networks, New results on stability and stabilization of a class of nonlinear fractional-order systems, Existence and uniqueness of solutions for the system of nonlinear fractional differential equations with nonlocal and integral boundary conditions, Approximation methods for solving fractional equations, Stability analysis of fractional-order nonlinear systems with delay, Asymptotic stability of Caputo type fractional neutral dynamical systems with multiple discrete delays, On nonnegative solutions of fractional \(q\)-linear time-varying dynamic systems with delayed dynamics, Hyers-Ulam-Rassias stability of functional differential systems with point and distributed delays, Finite-time stability of fractional-order BAM neural networks with distributed delay, Some properties of distances and best proximity points of cyclic proximal contractions in metric spaces, A SEPARATION PRINCIPLE FOR THE STABILISATION OF A CLASS OF FRACTIONAL ORDER TIME DELAY NONLINEAR SYSTEMS, Consensus of fractional-order multi-agent systems with input time delay, Stability analysis of fractional-order bidirectional associative memory neural networks with mixed time-varying delays, On contractive and convergence properties of a class of truncated operators represented through Schauder bases with applications, Finite-time stability for fractional-order complex-valued neural networks with time delay, Fixed points and exponential stability for impulsive time-delays BAM neural networks via LMI approach and contraction mapping principle, On probabilistic alpha-fuzzy fixed points and related convergence results in probabilistic metric and Menger spaces under some Pompeiu-Hausdorff-like probabilistic contractive conditions, The adaptive synchronization of fractional-order chaotic system with fractional-order \(1<q<2\) via linear parameter update law, Consensus of fractional-order multiagent systems with double integrator under switching topologies, On bounded strictly positive operators of closed range and some applications to asymptotic hyperstability of dynamic systems, On a class of self-adjoint compact operators in Hilbert spaces and their relations with their finite-range truncations, Stability of a class of fractional-order nonlinear systems, Stability analysis for fractional-order linear singular delay differential systems, Dynamical behavior and synchronization in time-delay fractional-order coupled neurons under electromagnetic radiation, Combination event-triggered adaptive networked synchronization communication for nonlinear uncertain fractional-order chaotic systems, On best proximity results for a generalized modified Ishikawa's iterative scheme driven by perturbed 2-cyclic like-contractive self-maps in uniformly convex Banach spaces, Observer-based quasi-containment of fractional-order multi-agent systems via event-triggered strategy
Cites Work
- On calculus of local fractional derivatives
- On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order
- On the initial conditions in continuous-time fractional linear systems
- Some applications of fractional calculus in engineering
- On the reachability and controllability of positive linear time-invariant dynamic systems with internal and external incommensurate point delays
- Analytical and numerical solutions of a one-dimensional fractional-in-space diffusion equation in a composite medium
- A note on fractional derivatives and fractional powers of operators
- On the uniform exponential stability of a wide class of linear time-delay systems.
- Nonlinear and robust control schemes for offshore steel jacket platforms
- Certain fractional derivative formulae involving the product of a general class of polynomials and the multivariable \(H\)-function
- A physical interpretation for the fractional derivative in Levy diffusion
- The exact solution of certain differential equations of fractional order by using operational calculus
- On positivity of singular regular linear time-delay time-invariant systems subject to multiple internal and external incommensurate point delays
- A note on asymptotic contractions
- Stability of impulsive time-varying systems and compactness of the operators mapping the input space into the state and output spaces
- A method for general design of positive real functions
- Space-time fractional derivative operators
- Application of the non-periodic sampling to the identifiability and model matching problems in dynamic systems
- On sufficient conditions for stability independent of delay
- A fractional calculus of variations for multiple integrals with application to vibrating string
- Advances in Fractional Calculus
- Preserving positive realness through discretization
