Mean-square exponentially input-to-state stableCohen-Grossberg neural networksRazumikhin techniqueTime-varying delaysFirst, we extend the Halanay inequality established in [33] to the stochastic Halanay delay differential inequality with variable coefficients such that it is effective for stochastic functional...
The transformed LTV model is globally exponentially stable (GES) based on ensuring the observability of the system. The system observable condition is inferred and a Kalman filter is utilized for the estimation solution. Algebraic transformation is used to address the nonlinear measurement variables in...
We thus consider the long-τ limit, effectively ignoring any transient behaviour and assuming the system is in its steady state. Note that our system is dynamically stable as long as w > Δ and κ > 0, ensuring that a steady state exists. From Eqs. (14), (12), and (10),...
Here we allow usage of ancilla qubits (which we do not demand to be cleaned) and define a demolition parameter β, which quantifies imperfection in the measurement, and also limits how the input state changes. Definition 2 (Super-Efficient energy measurements (SEEM)). A normalized Hamiltonian...
Inputto-state stability is one of the important concepts which have been introduced into nonlinear control systems. This paper generalizes the input-to-state stability to exponentially weighted integral inputto-state globally uniformly stable and exponentially weighted integral input-to-state globally ...
The method to design exponentially stable adaptive observers is proposed for linear time-invariant systems parameterized by unknown physical parameters. Unlike existing adaptive solutions, the system state-space matrices A, B are not restricted to be represented in the observer canonical form to ...
and requirements of adaptive control theory (the need to know the sign/value of the control input gain, the need for an experimental choice of the adaptive law gain, and the requirement to the tracking error transfer function to be strictly positive real considering the ou...
input-to-state stabilityintegral manifoldsnonlinear systems on manifoldsThis note studies nonlinear systems evolving on manifolds with a finite number of asymptotically stable equilibria and a Lyapunov function which strictly decreases outside equilibrium points. If the linearizations at unstable equilibria ...
This note studies nonlinear systems evolving on manifolds with a finite number of asymptotically stable equilibria and a Lyapunov function which strictly decreases outside equilibrium points. If the linearizations at unstable equilibria have at least one eigenvalue with positive real part, then almost ...
It is well-known that observability of the system is a necessary assumption for the state reconstruction. Our main contribution is to prove that it is also sufficient to design a globally exponentially stable observer This should be contrasted with existing results that require the strictly stronger...