The numerical analysis of ordinary differential equations: Runge-Kutta and general linear methods
The numerical analysis of ordinary differential equations: Runge-Kutta and general linear methods
Numerical methods for ordinary differential systems: the initial value problem
Numerical methods for ordinary differential systems: the initial value problem
Strong contractivity properties of numerical methods for ordinary and delay differential equations
Selected papers from the international conference on Numerical solution of Volterra and delay equations
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Runge-Kutta methods for dissipative and gradient dynamical systems
SIAM Journal on Numerical Analysis
Brief Input-to-state stability of PD-controlled robotic systems
Automatica (Journal of IFAC)
Survey Constructive nonlinear control: a historical perspective
Automatica (Journal of IFAC)
Input-to-state stability for discrete-time nonlinear systems
Automatica (Journal of IFAC)
Journal of Computational and Applied Mathematics
| Hi-index | 7.30 |
In the paper we introduce input-to-state stability (ISS) of Runge-Kutta methods for control systems. The ISS properties of Runge-Kutta methods are studied for linear control systems and nonlinear control systems, respectively. The previously reported results in literature are special cases of ISS of Runge-Kutta methods.