Stability of Fractional-Order Systems

Fractional differential equations

1999 • 20,349 citations

Nuclear Induction

1946 • 3,230 citations

Magnetic Resonance Imaging: Physical Principles and Sequence Design

1999 • 2,734 citations

Mittag–Leffler stability of fractional order nonlinear dynamic systems

2009 • 1,436 citations

Stability results for fractional differential equations with applications to control processing

1996 • 1,386 citations

Modern Control Systems

1981 • 1,281 citations

Stability Theory of Differential Equations.

1954 • 1,218 citations

Stability analysis of linear fractional differential system with multiple time delays

2006 • 855 citations

Stability properties for generalized fractional differential systems

1998 • 558 citations

On some Routh–Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems

2006 • 415 citations

Complex variables and the laplace transform for engineers

1961 • 391 citations

A necessary condition for double scroll attractor existence in fractional-order systems

2007 • 350 citations

Chaotic attractors in incommensurate fractional order systems

2008 • 333 citations

On the stability of linear systems with fractional-order elements

2007 • 316 citations

Robust Stability and Stabilization of Fractional-Order Interval Systems: An LMI Approach

2009 • 294 citations

A note on the stability of fractional order systems

2008 • 268 citations

Necessary and sufficient stability condition of fractional-order interval linear systems

2008 • 229 citations

Untitled

2002 • 206 citations

A numerical algorithm for stability testing of fractional delay systems

2006 • 205 citations

Robust stability check of fractional order linear time invariant systems with interval uncertainties

2006 • 202 citations

Stabilization using fractional-order PI and PID controllers

2007 • 189 citations

Solving the fractional order Bloch equation

2009 • 161 citations

Coprime factorizations and stability of fractional differential systems

2000 • 160 citations

Unreliability of frequency-domain approximation in recognising chaos in fractional-order systems

2007 • 152 citations

Stability of Discrete Fractional Order State-space Systems

2008 • 150 citations

STABILITY OF FRACTIONAL-ORDER SYSTEMS WITH RATIONAL ORDERS: A SURVEY

2009 • 141 citations

Robust stability analysis of fractional order interval polynomials

2009 • 141 citations

Limitations of frequency domain approximation for detecting chaos in fractional order systems

2007 • 138 citations

Robust controllability of interval fractional order linear time invariant systems

2006 • 129 citations

Synthesis of fractional Laguerre basis for system approximation

2007 • 123 citations

Numerical Simulations of Fractional Systems: An Overview of Existing Methods and Improvements

2004 • 119 citations

An overview of the CRONE approach in system analysis, modeling and identification, observation and control

2008 • 71 citations

Stability of linear time invariant systems with interval fractional orders and interval coefficients

2005 • 61 citations

Optimal Fractional Controllers for Rational Order Systems: A Special Case of the Wiener-Hopf Spectral Factorization Method

2007 • 60 citations

A simple test for zeros of a complex polynomial in a sector

1974 • 54 citations

Modeling and Analog Realization of the Fundamental Linear Fractional Order Differential Equation

2006 • 53 citations

A simple proof of Kharitonov's theorem

1987 • 49 citations

An analysis stability test for a certain class of distributed parameter systems with delays

1985 • 48 citations

Robust absolute stability criteria for uncertain Lur'e systems of neutral type

2007 • 39 citations

Extension of the root-locus method to a certain class of fractional-order systems

2008 • 39 citations

Extending the Root-Locus Method to Fractional-Order Systems

2008 • 36 citations

Singularities of Linear System Functions

1962 • 33 citations

Singularities of Linear System Functions

1962 • 31 citations

Stability criteria for a class of fractional order systems

2009 • 19 citations

On the Essential Instabilities Caused by Fractional-Order Transfer Functions

2008 • 15 citations

Necessary and Sufficient Conditions for Perfect Command Following and Disturbance Rejection in Fractional Order Systems

2008 • 14 citations

Computation of limit cycles for uncertain nonlinear fractional-order systems

2009 • 10 citations

On the Completeness Problem for Fractional Rationals with Incommensurable Differentiation Orders

2008 • 9 citations

Nonlinear Dynamical Systems

2017 • 7 citations

Robust controller design for linear fractional-order systems with nonlinear time-varying model uncertainties

2009 • 3 citations

Deleted Work

1955 • 0 citations