Most cited papers in Stability and Controllability of Differential Equations
What are the most cited papers in Stability and Controllability of Differential Equations?
The most cited paper in Stability and Controllability of Differential Equations is "User’s guide to viscosity solutions of second order partial differential equations" (Michael G. Crandall, Hitoshi Ishii, Pierre-Louis Lions, 1992), with 5,020 citations. Next come "Compact sets in the spaceL p (O,T; B)" (4,138) and "Predictive control with constraints" (3,550).
Showing 50 of 99 papers. Every paper with more than 561 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | User’s guide to viscosity solutions of second order partial differential equations Michael G. Crandall, Hitoshi Ishii, Pierre-Louis Lions · Bulletin of the American Mathematical Society | 1992 | 5,020 |
| 2 | Compact sets in the spaceL p (O,T; B) Jacques Simon · Annali di Matematica Pura ed Applicata (1923 -) | Dec 1986 | 4,138 |
| 3 | Predictive control with constraints Eduardo Fernández Camacho · Automatica | 30 Apr 2003 | 3,550 |
| 4 | Feedback control of dynamic systems Stephen Kahne · Automatica | May 1987 | 3,473 |
| 5 | Smooth stabilization implies coprime factorization Eduardo D. Sontag · IEEE Transactions on Automatic Control | Apr 1989 | 2,751 |
| 6 | Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results Hai Lin, Panos J. Antsaklis · IEEE Transactions on Automatic Control | Feb 2009 | 2,695 |
| 7 | The concentration-compactness principle in the Calculus of Variations. The locally compact case, part 1. Pierre‐Louis Lions · Annales de l Institut Henri Poincaré C Analyse Non Linéaire | Apr 1984 | 2,409 |
| 8 | Wirtinger-based integral inequality: Application to time-delay systems Alexandre Seuret, Frédéric Gouaisbaut · Automatica | 25 Jun 2013 | 2,283 |
| 9 | Ordinary differential equations, transport theory and Sobolev spaces Ronald J. DiPerna, Pierre Louis Lions · Inventiones mathematicae | Oct 1989 | 2,007 |
| 10 | Some global results for nonlinear eigenvalue problems Paul H. Rabinowitz · Journal of Functional Analysis | Jun 1971 | 1,896 |
| 11 | Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations Jean Bourgain · Geometric and Functional Analysis | May 1993 | 1,697 |
| 12 | The Concentration-Compactness Principle in the Calculus of Variations. The Limit Case, Part 2 Pierre-Louis Lions · Revista Matemática Iberoamericana | 30 Jun 1985 | 1,695 |
| 13 | The sector bound approach to quantized feedback control Minyue Fu, Lihua Xie · IEEE Transactions on Automatic Control | Nov 2005 | 1,639 |
| 14 | On a class of nonlinear Schr�dinger equations Paul H. Rabinowitz · Zeitschrift für angewandte Mathematik und Physik | Mar 1992 | 1,585 |
| 15 | Output feedback H ∞ control of systems with parameter uncertainty Lihua Xie · International Journal of Control | Mar 1996 | 1,576 |
| 16 | An integral inequality in the stability problem of time-delay systems Keqin Gu | 11 Nov 2002 | 1,544 |
| 17 | Nonlinear Schr�dinger equations and sharp interpolation estimates Michael I. Weinstein · Communications in Mathematical Physics | Dec 1983 | 1,451 |
| 18 | Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle Carlos E. Kenig, Gustavo Henrique Santos Flores Ponce, Luis Vega · Communications on Pure and Applied Mathematics | Apr 1993 | 1,417 |
| 19 | The Concentration-Compactness Principle in the Calculus of Variations. The limit case, Part 1 Pierre‐Louis Lions · Revista Matemática Iberoamericana | 31 Mar 1985 | 1,401 |
| 20 | StrongL p -solutions of the Navier-Stokes equation inR m , with applications to weak solutions Tosio Kato · Mathematische Zeitschrift | Dec 1984 | 1,348 |
| 21 | On the Navier-Stokes initial value problem. I Hiroshi Fujita, Tosio Kato · Archive for Rational Mechanics and Analysis | 1964 | 1,334 |
| 22 | Some remarks on a conjecture in parameter adaptive control Roger D. Nussbaum · Systems & Control Letters | Nov 1983 | 1,243 |
| 23 | Stability and Stabilization of Switched Linear Systems With Mode-Dependent Average Dwell Time Xudong Zhao, Lixian Zhang, Peng Shi et al. · IEEE Transactions on Automatic Control | 9 Dec 2011 | 1,211 |
| 24 | A Strong Maximum Principle for some quasilinear elliptic equations Juan-Luis V�zquez · Applied Mathematics & Optimization | Oct 1984 | 1,182 |
| 25 | Finite spectrum assignment problem for systems with delays A. Manitius, Andrzej W. Olbrot · IEEE Transactions on Automatic Control | Aug 1979 | 1,143 |
| 26 | Linear systems with delayed controls: A reduction Zvi Artstein · IEEE Transactions on Automatic Control | Aug 1982 | 1,116 |
| 27 | On the interior regularity of weak solutions of the Navier-Stokes equations James B Serrin · Archive for Rational Mechanics and Analysis | 1962 | 1,044 |
| 28 | Attractors for random dynamical systems Hans Crauel, Franco Flandoli · Probability Theory and Related Fields | Sep 1994 | 1,006 |
| 29 | Fading memory and the problem of approximating nonlinear operators with Volterra series Stephen Boyd, Leon Ong Chua · IEEE Transactions on Circuits and Systems | Nov 1985 | 1,001 |
| 30 | Low dimensional behavior of large systems of globally coupled oscillators Edward Ott, Thomas M. Antonsen · Chaos An Interdisciplinary Journal of Nonlinear Science | Sep 2008 | 980 |
| 31 | Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem Ludwik Byszewski · Journal of Mathematical Analysis and Applications | Dec 1991 | 939 |
| 32 | Uniform Stability of Switched Linear Systems: Extensions of LaSalle's Invariance Principle João P. Hespanha · IEEE Transactions on Automatic Control | Apr 2004 | 928 |
| 33 | Delay-range-dependent stability for systems with time-varying delay Yong Min He, Qing‐Guo Wang, Chong Lin et al. · Automatica | 5 Dec 2006 | 921 |
| 34 | New Lyapunov–Krasovskii functionals for stability of linear retarded and neutral type systems Emilia Fridman · Systems & Control Letters | Jul 2001 | 915 |
| 35 | Well-posedness for the Navier–Stokes Equations Herbert Koch, Daniel Tataru · Advances in Mathematics | 2001 | 892 |
| 36 | A bilinear estimate with applications to the KdV equation Carlos E. Kenig, Gustavo Henrique Santos Flores Ponce, Luis Vega · Journal of the American Mathematical Society | 1996 | 874 |
| 37 | On the Existence of Globally Defined Weak Solutions to the Navier—Stokes Equations Eduard Feireisl, Antonín Novotný, Hana Petzeltová · Journal of Mathematical Fluid Mechanics | Nov 2001 | 874 |
| 38 | Systems with finite communication bandwidth constraints. II. Stabilization with limited information feedback Wing Shing Wong, R. W. Brockett · IEEE Transactions on Automatic Control | May 1999 | 870 |
| 39 | Observers for Lipschitz nonlinear systems Rajesh Rajamani · IEEE Transactions on Automatic Control | Mar 1998 | 870 |
| 40 | Distributed control of spatially invariant systems Bassam A. Bamieh, Fernando Paganini, Munther A. Dahleh · IEEE Transactions on Automatic Control | Jul 2002 | 865 |
| 41 | On a theory of heat conduction involving two temperatures Peter J. Chen, Morton E. Gurtin · Zeitschrift für angewandte Mathematik und Physik | Jul 1968 | 859 |
| 42 | A new method for stabilization of networked control systems with random delays Liqian Zhang, Yang Shi, Tongwen Chen et al. · IEEE Transactions on Automatic Control | Aug 2005 | 858 |
| 43 | A descriptor system approach to H/sub ∞/ control of linear time-delay systems Emilia Fridman, U. Shaked · IEEE Transactions on Automatic Control | 2002 | 847 |
| 44 | Saddle points and instability of nonlinear hyperbolic equations Lawrence Edward Payne, David H. Sattinger · Israel Journal of Mathematics | Dec 1975 | 845 |
| 45 | Homogeneous Lyapunov function for homogeneous continuous vector field Lionel Rosier · Systems & Control Letters | Dec 1992 | 844 |
| 46 | Nonlinear semigroups and evolution equations Tosio Kato · Journal of the Mathematical Society of Japan | Oct 1967 | 840 |
| 47 | Auxiliary function-based integral inequalities for quadratic functions and their applications to time-delay systems PooGyeon Park, Won Il Lee, Seok‐Young Lee · Journal of the Franklin Institute | 14 Jan 2015 | 831 |
| 48 | Optimal infinite-horizon feedback laws for a general class of constrained discrete-time systems: Stability and moving-horizon approximations S. Sathiya Keerthi, Éric Gilbert · Journal of Optimization Theory and Applications | May 1988 | 830 |
| 49 | The cauchy problem for the critical nonlinear Schrödinger equation in Hs Thierry Cazenave, Fred B. Weissler · Nonlinear Analysis | 1990 | 815 |
| 50 | An Inertial Proximal Method for Maximal Monotone Operators via Discretization of a Nonlinear Oscillator with Damping Felipe Álvarez, Hédy Attouch · Set-Valued Analysis | Mar 2001 | 810 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.